Supporting material for the article
A Recoverable Robust Approach for the Next Release Problem
By Matheus Paixao, Jerffeson Souza
Optimization in Software Engineering Group (GOES.UECE)
April 2013 (last update: April 2013)
Abstract
Selecting a set of requirements to be included in the next software release, which has become to be known as the Next Release Problem, is an
important issue in the iterative and incremental software development model. Since software development is performed under a dynamic environment,
some requirements aspects are highly subject to uncertainties, which should be taken into account when solving this problem through a search
technique. Current robust approaches for dealing with these uncertainties are very conservative, since they perform the selection of the
requirements considering all possible uncertainty realizations. Thereby, this paper presents an evolution of this robust model, exploiting the
recoverable robust optimization framework, which is capable of producing recoverable solutions for the Next Release Problem. Several experiments
were performed over synthetic and real-world instances, with all results showing that the recovery strategy handles well the conservatism and
adds more quality to the robust solutions.
Keywords:
Next Release Problem, Recoverable Robust Optimization, Search Based Software Engineering.
Instances
Synthetic Instances
The synthetic instance set is composed by 7 randomly generated instances. Each instance has 3 scenarios and the requirement importance value
can assume an integer between 1 and 10. The instances were generated with different numbers of requirements, ranging from 50 to 200. A
random approach was considered in order to define the requirements cost deviance, where the deviance is set as a random number between 0
(exclusive) and 50% of the requirement cost. The synthetic instance name is in the format I_S_R, where R is the number of requirements. The instance
I_S_100, for example, has 100 requirements.
Real-world Instances
The real instances were extracted from bug repositories of two big open source projects, Eclipse (a java integrated development environment)
and Mozilla (a set of web applications). This strategy for NRP real instance extraction was adapted from the work by
Xuan et al . A bug repository is a forum where users (end
users, developers, testers, etc) can report bugs related to the project. In this forum, one bug report may be commented by many users. One
bug report is mapped to a requirement. The requirement value of a bug is then calculated as the number of users that commented on that
particular bug. In addition, the bug severity is mapped to the requirement cost. Both the requirements value and cost are normalized to the 1
to 10 interval. In all cases, each instance was considered to have only one scenario (with a probability equals to 1). Seven instances,
composed by the most important requirements, were extracted from each bug repository. The instances contains 50, 70, 100, 120, 150, 170 and
200 requirements, respectively. The requirements cost deviances were adjusted using the same random approach as described early. The
real-world instance name is in the format I_Re_P_R, where P represents the project (E for Eclipse and M for Mozilla), and R is the number of
requirements. The instance I_Re_E_120, for example, was generated from the eclipse bug repository and has 120 requirements.
Experiments Results
Before Recovery Results
Instance I_S_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_50
0
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
0.2N
243.69 ± 0.00
245.91 ± 0.49
251.78 ± 0.43
256.93 ± 0.00
256.93 ± 0.00
256.81 ± 0.36
256.93 ± 0.00
256.93 ± 0.00
256.81 ± 0.36
256.81 ± 0.36
256.93 ± 0.00
0.4N
237.31 ± 0.55
240.11 ± 0.01
246.08 ± 0.00
253.61 ± 0.41
256.81 ± 0.36
256.83 ± 0.30
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
0.6N
233.93 ± 0.41
237.04 ± 0.04
242.33 ± 0.49
250.34 ± 0.53
256.81 ± 0.36
256.69 ± 0.48
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.81 ± 0.36
256.93 ± 0.00
0.8N
233.03 ± 0.25
235.76 ± 0.05
241.13 ± 0.30
249.05 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.81 ± 0.36
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
N
233.08 ± 0.26
235.83 ± 0.09
241.25 ± 0.07
249.05 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
256.93 ± 0.00
Instance I_S_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_50
0.2N
5.12
4.25
1.97
0.04
0.04
0.01
0.04
0.04
0.01
0.01
0.04
0.4N
7.60
6.51
4.19
1.25
0.01
0.00
0.04
0.04
0.04
0.04
0.04
0.6N
8.92
7.70
5.65
2.52
0.01
0.06
0.04
0.04
0.04
0.01
0.04
0.8N
9.26
8.20
6.11
3.03
0.04
0.04
0.01
0.04
0.04
0.04
0.04
N
9.25
8.18
6.07
3.03
0.04
0.04
0.04
0.04
0.04
0.04
0.04
Instance I_S_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_70
0
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
0.2N
320.24 ± 0.28
324.39 ± 0.31
331.23 ± 0.21
342.56 ± 0.12
342.37 ± 0.21
342.34 ± 0.36
342.26 ± 0.27
342.23 ± 0.25
342.42 ± 0.20
342.25 ± 0.40
342.37 ± 0.29
0.4N
309.79 ± 0.50
314.58 ± 0.23
320.30 ± 0.17
332.36 ± 0.32
342.39 ± 0.30
342.43 ± 0.19
342.31 ± 0.29
342.34 ± 0.30
342.40 ± 0.22
342.30 ± 0.20
342.37 ± 0.18
0.6N
306.07 ± 0.64
310.20 ± 0.31
315.99 ± 0.24
327.61 ± 0.37
342.01 ± 0.35
342.34 ± 0.35
342.46 ± 0.18
342.28 ± 0.27
342.43 ± 0.22
342.26 ± 0.25
342.30 ± 0.28
0.8N
305.84 ± 0.73
309.87 ± 0.40
315.93 ± 0.55
326.78 ± 0.33
341.72 ± 0.34
342.47 ± 0.21
342.22 ± 0.33
342.31 ± 0.22
342.45 ± 0.20
342.29 ± 0.22
342.37 ± 0.29
N
306.04 ± 0.47
310.01 ± 0.41
315.97 ± 0.56
326.71 ± 0.30
341.56 ± 0.66
342.39 ± 0.20
342.35 ± 0.21
342.50 ± 0.18
342.27 ± 0.24
342.48 ± 0.20
342.48 ± 0.19
Instance I_S_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_70
0.2N
6.46
5.25
3.25
0.06
0.00
0.00
0.03
0.04
0.02
0.03
0.00
0.4N
9.51
8.11
6.44
2.92
0.01
0.02
0.01
0.00
0.01
0.02
0.01
0.6N
10.60
9.39
7.70
4.31
0.10
0.00
0.03
0.02
0.02
0.03
0.01
0.8N
10.67
9.49
7.72
4.55
0.18
0.03
0.04
0.01
0.03
0.02
0.00
N
10.61
9.45
7.71
4.57
0.23
0.01
0.00
0.04
0.03
0.04
0.04
Instance I_S_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_100
0
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
0.2N
427.43 ± 0.43
433.18 ± 0.49
438.79 ± 0.71
449.52 ± 0.63
450.09 ± 0.52
450.18 ± 0.53
450.18 ± 0.60
450.19 ± 0.64
449.98 ± 0.51
450.03 ± 0.58
449.84 ± 0.41
0.4N
419.76 ± 0.85
425.51 ± 0.66
431.24 ± 0.39
441.70 ± 0.54
450.06 ± 0.49
450.26 ± 0.55
449.89 ± 0.51
450.03 ± 0.56
450.40 ± 0.44
450.10 ± 0.49
450.11 ± 0.54
0.6N
415.48 ± 0.71
421.40 ± 0.61
427.41 ± 0.80
438.18 ± 0.53
450.32 ± 0.62
449.99 ± 0.57
450.16 ± 0.55
449.75 ± 0.55
450.05 ± 0.60
450.14 ± 0.63
450.33 ± 0.53
0.8N
414.41 ± 0.68
420.02 ± 0.56
425.65 ± 0.92
436.66 ± 0.57
450.47 ± 0.49
450.09 ± 0.55
449.82 ± 0.63
450.14 ± 0.60
449.99 ± 0.59
450.22 ± 0.57
450.09 ± 0.63
N
414.70 ± 0.60
419.76 ± 0.61
425.82 ± 1.15
436.83 ± 0.25
450.19 ± 0.74
450.32 ± 0.57
450.00 ± 0.49
450.24 ± 0.46
450.08 ± 0.54
450.38 ± 0.42
449.96 ± 0.48
Instance I_S_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_100
0.2N
5.05
3.77
2.53
0.14
0.01
0.00
0.01
0.01
0.04
0.03
0.07
0.4N
6.75
5.48
4.20
1.88
0.02
0.02
0.06
0.03
0.05
0.01
0.01
0.6N
7.70
6.39
5.05
2.66
0.04
0.04
0.00
0.09
0.02
0.00
0.04
0.8N
7.94
6.69
5.44
3.00
0.07
0.02
0.07
0.00
0.04
0.01
0.02
N
7.88
6.75
5.41
2.96
0.01
0.04
0.04
0.02
0.02
0.05
0.04
Instance I_S_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_120
0
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
0.2N
544.49 ± 0.70
551.13 ± 0.48
563.05 ± 0.75
578.32 ± 0.49
581.39 ± 0.54
581.37 ± 0.31
581.46 ± 0.41
581.34 ± 0.46
581.38 ± 0.40
581.34 ± 0.31
581.53 ± 0.25
0.4N
531.82 ± 0.62
538.06 ± 0.51
549.96 ± 0.28
564.25 ± 0.66
581.65 ± 0.27
581.37 ± 0.34
581.42 ± 0.27
581.24 ± 0.58
581.48 ± 0.29
581.53 ± 0.37
581.45 ± 0.19
0.6N
526.27 ± 0.70
532.72 ± 0.47
544.28 ± 0.53
559.02 ± 0.41
578.78 ± 0.40
581.45 ± 0.44
581.27 ± 0.30
581.08 ± 0.76
581.39 ± 0.32
581.43 ± 0.26
581.51 ± 0.32
0.8N
525.98 ± 0.49
532.01 ± 0.57
543.27 ± 0.56
557.17 ± 0.61
577.40 ± 0.49
581.54 ± 0.29
581.28 ± 0.35
581.32 ± 0.48
581.34 ± 0.43
581.56 ± 0.32
581.15 ± 0.60
N
525.58 ± 0.58
532.31 ± 0.71
543.51 ± 0.43
557.70 ± 0.31
577.15 ± 0.39
581.43 ± 0.53
581.56 ± 0.23
581.55 ± 0.43
581.46 ± 0.32
581.44 ± 0.12
581.46 ± 0.40
Instance I_S_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_120
0.2N
6.32
5.18
3.12
0.50
0.03
0.03
0.04
0.02
0.03
0.02
0.06
0.4N
8.50
7.42
5.38
2.92
0.08
0.03
0.04
0.01
0.05
0.06
0.04
0.6N
9.45
8.34
6.35
3.82
0.42
0.04
0.01
0.02
0.03
0.04
0.05
0.8N
9.50
8.47
6.53
4.14
0.65
0.06
0.01
0.02
0.02
0.06
0.01
N
9.57
8.41
6.49
4.04
0.70
0.04
0.06
0.06
0.04
0.04
0.04
Instance I_S_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_150
0
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
0.2N
690.88 ± 0.65
702.89 ± 0.51
722.59 ± 0.46
739.56 ± 0.50
739.63 ± 0.41
739.69 ± 0.65
739.70 ± 0.51
739.57 ± 0.39
739.69 ± 0.53
739.72 ± 0.41
739.72 ± 0.41
0.4N
669.65 ± 1.01
681.14 ± 0.59
700.35 ± 0.45
730.34 ± 0.27
739.70 ± 0.38
739.21 ± 0.80
739.89 ± 0.30
739.58 ± 0.43
739.60 ± 0.48
739.22 ± 0.64
739.77 ± 0.46
0.6N
663.27 ± 0.80
673.83 ± 0.84
692.17 ± 0.67
720.63 ± 0.40
739.80 ± 0.46
739.56 ± 0.43
739.43 ± 0.62
739.43 ± 0.70
739.56 ± 0.46
739.38 ± 0.32
739.55 ± 0.48
0.8N
662.96 ± 0.66
674.03 ± 0.69
691.63 ± 0.90
719.53 ± 0.41
739.84 ± 0.46
739.79 ± 0.48
739.46 ± 0.57
739.29 ± 0.45
739.49 ± 0.39
739.42 ± 0.61
739.55 ± 0.36
N
663.41 ± 0.59
673.74 ± 0.70
691.37 ± 0.49
719.37 ± 0.43
739.49 ± 0.51
739.96 ± 0.48
739.63 ± 0.34
739.72 ± 0.45
739.49 ± 0.91
739.66 ± 0.49
739.60 ± 0.63
Instance I_S_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_150
0.2N
6.59
4.96
2.30
0.00
0.00
0.01
0.01
0.00
0.01
0.02
0.02
0.4N
9.46
7.90
5.31
1.25
0.01
0.05
0.04
0.00
0.00
0.05
0.02
0.6N
10.32
8.89
6.41
2.56
0.03
0.01
0.02
0.02
0.01
0.03
0.01
0.8N
10.36
8.87
6.49
2.71
0.03
0.03
0.02
0.04
0.02
0.02
0.01
N
10.30
8.91
6.52
2.74
0.02
0.05
0.00
0.02
0.01
0.01
0.00
Instance I_S_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_170
0
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
0.2N
793.96 ± 0.86
804.14 ± 0.66
818.85 ± 0.99
846.83 ± 0.86
849.19 ± 0.68
849.46 ± 0.93
849.32 ± 0.79
849.35 ± 0.51
849.44 ± 0.79
849.63 ± 0.80
849.95 ± 0.79
0.4N
774.46 ± 0.90
784.24 ± 0.94
798.43 ± 0.81
825.47 ± 0.64
849.49 ± 0.70
849.26 ± 1.05
849.91 ± 0.70
849.58 ± 0.38
849.65 ± 0.58
849.09 ± 1.05
849.59 ± 0.74
0.6N
766.84 ± 0.74
775.83 ± 1.39
790.03 ± 0.78
816.14 ± 1.17
849.48 ± 0.88
849.55 ± 0.54
849.48 ± 0.41
849.54 ± 0.81
849.31 ± 0.92
849.50 ± 0.67
849.52 ± 0.69
0.8N
765.45 ± 0.85
774.37 ± 1.23
788.44 ± 0.73
813.84 ± 0.66
848.22 ± 0.68
849.64 ± 0.46
850.03 ± 0.44
849.66 ± 0.90
849.82 ± 0.74
849.51 ± 0.74
849.70 ± 0.87
N
765.13 ± 1.28
775.25 ± 0.96
788.13 ± 0.84
813.91 ± 0.78
847.98 ± 0.97
850.08 ± 0.31
849.53 ± 0.62
849.23 ± 1.09
849.57 ± 0.61
849.42 ± 0.88
849.94 ± 0.77
Instance I_S_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_170
0.2N
6.57
5.37
3.64
0.35
0.07
0.04
0.06
0.05
0.04
0.02
0.02
0.4N
8.87
7.72
6.05
2.86
0.04
0.06
0.01
0.03
0.02
0.08
0.03
0.6N
9.76
8.70
7.03
3.96
0.04
0.03
0.04
0.03
0.06
0.04
0.03
0.8N
9.93
8.88
7.22
4.23
0.19
0.02
0.03
0.02
0.00
0.03
0.01
N
9.96
8.77
7.26
4.22
0.21
0.03
0.03
0.07
0.03
0.05
0.02
Instance I_S_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_200
0
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
0.2N
886.95 ± 0.69
899.18 ± 1.27
923.70 ± 1.12
947.08 ± 1.05
946.91 ± 1.57
947.37 ± 0.76
947.00 ± 0.93
946.96 ± 1.04
947.32 ± 1.13
947.29 ± 0.82
947.92 ± 0.58
0.4N
861.32 ± 1.51
873.82 ± 1.48
898.55 ± 1.13
928.37 ± 1.15
946.63 ± 1.30
947.55 ± 1.12
946.76 ± 0.82
946.56 ± 0.96
947.39 ± 0.58
947.87 ± 0.65
946.95 ± 0.80
0.6N
851.83 ± 0.97
864.46 ± 1.15
887.56 ± 1.44
917.67 ± 0.68
946.65 ± 1.45
947.54 ± 0.86
947.27 ± 1.01
947.36 ± 1.33
947.36 ± 0.89
947.42 ± 1.12
947.61 ± 1.05
0.8N
850.16 ± 1.17
863.06 ± 1.29
885.93 ± 0.90
915.04 ± 0.93
947.12 ± 1.05
947.72 ± 1.38
946.93 ± 0.82
947.08 ± 1.17
947.59 ± 0.87
947.70 ± 0.69
947.84 ± 0.77
N
850.64 ± 1.01
862.87 ± 1.22
885.93 ± 1.29
914.99 ± 1.70
947.41 ± 1.05
946.94 ± 0.79
947.53 ± 0.63
946.99 ± 1.18
947.38 ± 0.97
946.80 ± 1.02
946.77 ± 1.27
Instance I_S_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_200
0.2N
6.30
5.01
2.42
0.05
0.03
0.08
0.04
0.04
0.07
0.07
0.14
0.4N
9.01
7.69
5.08
1.93
0.00
0.10
0.01
0.01
0.08
0.13
0.03
0.6N
10.01
8.68
6.24
3.06
0.00
0.10
0.07
0.08
0.08
0.08
0.10
0.8N
10.19
8.83
6.41
3.34
0.05
0.12
0.03
0.05
0.10
0.11
0.13
N
10.14
8.85
6.41
3.34
0.08
0.03
0.10
0.04
0.08
0.02
0.02
Instance I_Re_E_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_50
0
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
0.2N
152.64 ± 1.03
156.09 ± 1.29
160.36 ± 1.23
162.73 ± 1.00
163.27 ± 0.45
163.36 ± 0.82
163.09 ± 0.45
163.00 ± 0.42
163.55 ± 1.03
163.45 ± 0.79
163.36 ± 0.82
0.4N
148.36 ± 0.36
152.09 ± 0.42
155.64 ± 0.36
159.64 ± 0.45
163.45 ± 0.79
163.09 ± 0.45
163.09 ± 0.45
163.36 ± 0.42
162.91 ± 0.36
163.18 ± 0.45
163.27 ± 0.83
0.6N
146.45 ± 1.43
149.82 ± 1.34
152.91 ± 0.89
157.82 ± 2.12
163.73 ± 0.95
163.00 ± 0.42
163.00 ± 0.42
163.55 ± 0.76
163.36 ± 0.42
163.73 ± 0.95
163.64 ± 1.00
0.8N
145.64 ± 1.14
150.00 ± 1.52
152.82 ± 0.95
156.64 ± 1.91
163.55 ± 1.03
163.27 ± 0.83
163.73 ± 1.18
162.82 ± 0.27
162.82 ± 0.27
163.73 ± 0.95
163.27 ± 0.45
N
146.73 ± 1.48
149.55 ± 1.17
152.55 ± 0.36
157.36 ± 1.25
163.73 ± 0.95
163.09 ± 0.83
163.82 ± 1.14
163.27 ± 0.83
163.27 ± 0.83
163.91 ± 1.08
163.18 ± 0.45
Instance I_Re_E_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_50
0.2N
6.62
4.51
1.89
0.44
0.11
0.06
0.22
0.28
0.06
0.00
0.06
0.4N
9.23
6.95
4.78
2.34
0.00
0.22
0.22
0.06
0.33
0.17
0.11
0.6N
10.40
8.34
6.45
3.45
0.17
0.28
0.28
0.06
0.06
0.17
0.11
0.8N
10.90
8.23
6.51
4.17
0.06
0.11
0.17
0.39
0.39
0.17
0.11
N
10.23
8.51
6.67
3.73
0.17
0.22
0.22
0.11
0.11
0.28
0.17
Instance I_Re_E_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_70
0
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
0.2N
198.82 ± 1.15
203.73 ± 1.18
210.73 ± 1.06
215.55 ± 1.43
215.36 ± 1.60
216.00 ± 1.59
216.55 ± 1.45
215.18 ± 1.41
215.64 ± 1.67
215.91 ± 1.69
215.36 ± 1.60
0.4N
191.91 ± 1.03
196.64 ± 1.29
202.27 ± 1.42
214.36 ± 0.79
215.82 ± 1.64
215.36 ± 1.60
215.36 ± 1.60
215.36 ± 1.60
215.91 ± 1.53
216.09 ± 1.47
216.09 ± 1.47
0.6N
188.82 ± 1.47
193.82 ± 1.76
199.09 ± 1.41
212.00 ± 1.34
215.82 ± 1.64
215.64 ± 1.67
215.73 ± 1.58
216.18 ± 1.51
216.36 ± 1.22
215.64 ± 1.67
215.36 ± 1.43
0.8N
188.64 ± 0.45
193.55 ± 1.25
199.27 ± 1.06
210.36 ± 1.09
215.09 ± 1.48
215.55 ± 1.75
216.18 ± 1.51
214.91 ± 1.59
216.09 ± 1.47
216.09 ± 1.47
215.18 ± 1.41
N
189.27 ± 0.89
193.09 ± 1.09
199.00 ± 1.38
210.73 ± 1.45
216.09 ± 1.47
216.27 ± 1.55
216.45 ± 1.25
216.36 ± 1.41
215.91 ± 1.69
216.00 ± 1.59
216.36 ± 1.41
Instance I_Re_E_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_70
0.2N
7.84
5.56
2.32
0.08
0.17
0.13
0.38
0.25
0.04
0.08
0.17
0.4N
11.04
8.85
6.24
0.63
0.04
0.17
0.17
0.17
0.08
0.17
0.17
0.6N
12.47
10.16
7.71
1.73
0.04
0.04
0.00
0.21
0.29
0.04
0.17
0.8N
12.56
10.28
7.63
2.49
0.29
0.08
0.21
0.38
0.17
0.17
0.25
N
12.26
10.49
7.75
2.32
0.17
0.25
0.34
0.29
0.08
0.13
0.29
Instance I_Re_E_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_100
0
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
0.2N
270.55 ± 1.01
278.73 ± 1.16
286.64 ± 0.71
297.00 ± 0.42
296.91 ± 0.60
296.73 ± 0.45
296.45 ± 0.64
296.82 ± 0.61
296.64 ± 0.58
296.73 ± 0.60
296.82 ± 0.45
0.4N
259.73 ± 1.52
267.09 ± 1.14
274.45 ± 0.76
294.09 ± 0.61
296.55 ± 0.68
296.91 ± 0.60
296.91 ± 0.45
296.36 ± 0.70
296.91 ± 0.45
296.64 ± 0.58
296.82 ± 0.73
0.6N
254.45 ± 1.31
262.00 ± 0.79
268.82 ± 1.08
288.36 ± 0.36
296.45 ± 0.64
296.82 ± 0.73
296.36 ± 0.81
296.82 ± 0.45
296.55 ± 0.55
296.64 ± 0.71
296.73 ± 0.83
0.8N
254.55 ± 1.35
260.00 ± 0.57
267.00 ± 1.41
286.82 ± 0.45
296.64 ± 0.42
296.64 ± 0.58
296.55 ± 0.79
296.82 ± 0.61
296.45 ± 0.76
296.64 ± 0.71
296.55 ± 0.89
N
254.55 ± 1.22
261.36 ± 1.53
268.36 ± 0.79
286.82 ± 0.45
296.82 ± 0.73
296.73 ± 0.45
296.45 ± 0.95
296.45 ± 0.76
296.73 ± 0.45
296.82 ± 0.61
296.55 ± 0.68
Instance I_Re_E_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_100
0.2N
8.82
6.07
3.40
0.09
0.06
0.00
0.09
0.03
0.03
0.00
0.03
0.4N
12.47
9.99
7.51
0.89
0.06
0.06
0.06
0.12
0.06
0.03
0.03
0.6N
14.25
11.70
9.41
2.82
0.09
0.03
0.12
0.03
0.06
0.03
0.00
0.8N
14.22
12.38
10.02
3.34
0.03
0.03
0.06
0.03
0.09
0.03
0.06
N
14.22
11.92
9.56
3.34
0.03
0.00
0.09
0.09
0.00
0.03
0.06
Instance I_Re_E_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_120
0
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
0.2N
315.64 ± 0.79
323.45 ± 0.68
331.00 ± 0.86
340.00 ± 0.81
339.82 ± 0.79
339.36 ± 0.82
339.82 ± 0.79
340.09 ± 0.76
339.55 ± 0.45
339.91 ± 0.95
339.45 ± 0.73
0.4N
304.45 ± 0.76
312.00 ± 0.55
319.64 ± 0.73
337.00 ± 0.82
340.00 ± 0.57
340.27 ± 0.71
340.36 ± 0.73
339.82 ± 0.89
339.82 ± 0.79
339.91 ± 0.86
339.91 ± 0.76
0.6N
300.27 ± 1.00
308.45 ± 0.71
315.73 ± 0.58
332.09 ± 1.29
340.09 ± 0.76
339.27 ± 0.68
339.73 ± 0.58
339.64 ± 1.36
340.00 ± 0.81
339.91 ± 0.64
339.82 ± 0.68
0.8N
300.18 ± 0.68
308.18 ± 0.57
315.55 ± 0.86
330.82 ± 1.03
340.09 ± 0.64
339.73 ± 0.82
340.18 ± 0.68
340.00 ± 0.57
339.73 ± 0.58
339.82 ± 0.79
339.73 ± 0.42
N
300.45 ± 0.84
307.91 ± 0.82
315.36 ± 0.64
331.09 ± 1.14
340.18 ± 0.89
339.64 ± 0.93
340.27 ± 0.71
339.55 ± 0.45
339.82 ± 0.79
339.91 ± 0.86
339.73 ± 0.82
Instance I_Re_E_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_120
0.2N
7.09
4.79
2.57
0.08
0.03
0.11
0.03
0.11
0.05
0.05
0.08
0.4N
10.38
8.16
5.91
0.80
0.08
0.16
0.19
0.03
0.03
0.05
0.05
0.6N
11.61
9.21
7.06
2.25
0.11
0.13
0.00
0.03
0.08
0.05
0.03
0.8N
11.64
9.29
7.12
2.62
0.11
0.00
0.13
0.08
0.00
0.03
0.00
N
11.56
9.37
7.17
2.54
0.13
0.03
0.16
0.05
0.03
0.05
0.00
Instance I_Re_E_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_150
0
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
0.2N
373.18 ± 0.73
382.36 ± 0.93
392.18 ± 0.83
404.55 ± 0.81
404.82 ± 1.00
404.09 ± 0.61
403.91 ± 1.22
404.73 ± 0.98
404.55 ± 0.81
404.36 ± 0.89
404.36 ± 0.79
0.4N
361.64 ± 0.89
370.91 ± 0.81
379.55 ± 1.48
398.64 ± 1.48
404.91 ± 0.83
404.73 ± 0.79
404.45 ± 1.25
404.36 ± 0.68
405.27 ± 0.98
404.36 ± 0.55
404.64 ± 1.11
0.6N
357.45 ± 0.98
365.82 ± 1.09
374.55 ± 0.81
393.64 ± 0.70
404.82 ± 1.08
404.73 ± 1.14
404.91 ± 0.93
404.91 ± 1.69
404.64 ± 1.38
405.00 ± 0.93
405.09 ± 0.83
0.8N
356.82 ± 0.73
366.09 ± 1.22
373.64 ± 1.08
393.09 ± 1.16
404.36 ± 0.89
404.55 ± 1.00
405.00 ± 0.93
405.00 ± 0.84
404.73 ± 1.06
404.73 ± 0.89
404.27 ± 1.00
N
357.27 ± 0.57
365.18 ± 1.15
374.09 ± 0.84
392.82 ± 0.95
405.00 ± 0.93
404.55 ± 0.70
405.09 ± 1.23
404.27 ± 0.71
404.73 ± 0.55
405.18 ± 1.29
404.55 ± 0.81
Instance I_Re_E_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_150
0.2N
7.73
5.46
3.03
0.02
0.09
0.09
0.13
0.07
0.02
0.02
0.02
0.4N
10.59
8.29
6.16
1.44
0.11
0.07
0.00
0.02
0.20
0.02
0.04
0.6N
11.62
9.55
7.39
2.67
0.09
0.07
0.11
0.11
0.04
0.13
0.16
0.8N
11.78
9.49
7.62
2.81
0.02
0.02
0.13
0.13
0.07
0.07
0.04
N
11.67
9.71
7.51
2.88
0.13
0.02
0.16
0.04
0.07
0.18
0.02
Instance I_Re_E_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_170
0
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
0.2N
413.09 ± 1.16
424.64 ± 1.49
435.27 ± 1.06
448.55 ± 1.78
448.55 ± 1.36
448.91 ± 0.79
449.18 ± 0.86
448.73 ± 0.83
449.09 ± 0.81
448.91 ± 0.89
448.82 ± 1.00
0.4N
402.27 ± 1.17
412.55 ± 1.56
423.36 ± 1.29
442.00 ± 1.85
449.18 ± 0.76
448.55 ± 0.83
448.91 ± 0.98
448.45 ± 0.91
448.82 ± 1.29
448.73 ± 1.01
448.55 ± 1.23
0.6N
397.09 ± 0.68
407.27 ± 1.29
417.18 ± 1.65
436.45 ± 1.75
447.91 ± 0.71
447.91 ± 1.22
448.18 ± 0.81
448.73 ± 1.01
448.64 ± 0.93
448.82 ± 1.15
449.00 ± 1.11
0.8N
396.82 ± 0.93
406.82 ± 1.24
416.36 ± 1.08
434.18 ± 1.42
448.00 ± 0.98
448.73 ± 1.16
449.09 ± 0.91
448.82 ± 1.41
448.45 ± 0.82
448.91 ± 1.06
448.82 ± 1.22
N
396.64 ± 0.71
407.36 ± 1.03
416.55 ± 1.40
434.55 ± 1.15
448.45 ± 1.52
448.55 ± 1.09
448.36 ± 1.56
448.45 ± 1.22
448.45 ± 1.63
449.36 ± 0.91
448.55 ± 1.16
Instance I_Re_E_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_170
0.2N
8.00
5.43
3.06
0.10
0.10
0.02
0.04
0.06
0.02
0.02
0.04
0.4N
10.41
8.12
5.71
1.56
0.04
0.10
0.02
0.12
0.04
0.06
0.10
0.6N
11.56
9.29
7.09
2.79
0.24
0.24
0.18
0.06
0.08
0.04
0.00
0.8N
11.62
9.39
7.27
3.30
0.22
0.06
0.02
0.04
0.12
0.02
0.04
N
11.66
9.27
7.23
3.22
0.12
0.10
0.14
0.12
0.12
0.08
0.10
Instance I_Re_E_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_200
0
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
0.2N
474.09 ± 1.53
486.09 ± 1.00
499.91 ± 0.86
512.73 ± 1.41
512.45 ± 1.22
513.00 ± 1.22
512.36 ± 1.48
513.18 ± 1.09
512.82 ± 1.18
512.55 ± 1.21
512.91 ± 1.34
0.4N
460.00 ± 1.00
471.18 ± 1.08
483.36 ± 1.63
502.82 ± 2.17
512.73 ± 1.41
511.82 ± 1.77
512.91 ± 1.51
513.36 ± 1.35
512.64 ± 1.84
513.36 ± 1.08
512.64 ± 0.95
0.6N
453.36 ± 1.29
465.18 ± 1.29
475.73 ± 1.47
497.27 ± 1.29
512.82 ± 1.31
513.09 ± 0.93
513.45 ± 1.14
513.18 ± 1.64
512.09 ± 1.22
513.09 ± 0.83
512.73 ± 1.15
0.8N
453.09 ± 1.42
463.18 ± 1.17
475.91 ± 1.09
495.18 ± 1.95
512.73 ± 0.81
513.45 ± 0.68
511.82 ± 1.22
512.64 ± 1.43
512.00 ± 1.40
512.82 ± 1.55
512.82 ± 1.03
N
452.55 ± 1.21
464.82 ± 1.41
475.18 ± 1.08
494.73 ± 1.81
512.82 ± 1.55
512.82 ± 0.76
513.09 ± 1.36
513.09 ± 0.73
512.45 ± 1.15
512.55 ± 1.21
513.27 ± 1.01
Instance I_Re_E_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_200
0.2N
7.63
5.30
2.60
0.11
0.16
0.05
0.18
0.02
0.09
0.14
0.07
0.4N
10.38
8.20
5.83
2.04
0.11
0.28
0.07
0.02
0.12
0.02
0.12
0.6N
11.67
9.37
7.31
3.12
0.09
0.04
0.04
0.02
0.23
0.04
0.11
0.8N
11.73
9.76
7.28
3.52
0.11
0.04
0.28
0.12
0.25
0.09
0.09
N
11.83
9.44
7.42
3.61
0.09
0.09
0.04
0.04
0.16
0.14
0.00
Instance I_Re_M_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_50
0
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
0.2N
189.29 ± 0.00
193.71 ± 0.43
197.86 ± 1.75
202.21 ± 0.98
202.00 ± 1.05
202.21 ± 0.98
202.64 ± 0.64
202.43 ± 0.86
201.36 ± 0.98
202.21 ± 0.98
202.43 ± 0.86
0.4N
185.00 ± 0.00
188.57 ± 0.00
191.64 ± 0.85
196.71 ± 0.65
202.64 ± 0.64
202.21 ± 0.98
202.43 ± 0.86
202.43 ± 0.86
202.00 ± 1.05
201.57 ± 1.05
202.00 ± 1.05
0.6N
182.43 ± 0.57
185.71 ± 0.32
190.00 ± 0.00
195.50 ± 0.64
202.43 ± 0.86
202.21 ± 0.98
202.64 ± 0.64
202.43 ± 0.86
202.43 ± 0.86
202.00 ± 1.05
202.00 ± 1.05
0.8N
182.14 ± 0.64
185.71 ± 0.00
189.79 ± 0.46
194.50 ± 1.53
202.64 ± 0.64
202.21 ± 0.98
202.21 ± 0.98
202.43 ± 0.86
202.43 ± 0.86
202.43 ± 0.86
202.21 ± 0.98
N
181.93 ± 0.64
185.64 ± 0.21
190.00 ± 0.00
194.57 ± 1.16
201.79 ± 1.07
202.00 ± 1.05
202.21 ± 0.98
202.64 ± 0.64
202.21 ± 0.98
202.43 ± 0.86
202.21 ± 0.98
Instance I_Re_M_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_50
0.2N
6.39
4.20
2.15
0.00
0.11
0.00
0.21
0.11
0.42
0.00
0.11
0.4N
8.51
6.75
5.23
2.72
0.21
0.00
0.11
0.11
0.11
0.32
0.11
0.6N
9.78
8.16
6.04
3.32
0.11
0.00
0.21
0.11
0.11
0.11
0.11
0.8N
9.93
8.16
6.15
3.81
0.21
0.00
0.00
0.11
0.11
0.11
0.00
N
10.03
8.19
6.04
3.78
0.21
0.11
0.00
0.21
0.00
0.11
0.00
Instance I_Re_M_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_70
0
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
0.2N
240.29 ± 0.57
245.14 ± 0.70
249.36 ± 0.38
254.07 ± 0.64
254.29 ± 0.78
254.43 ± 0.70
254.79 ± 0.85
254.14 ± 0.62
254.07 ± 0.64
254.57 ± 0.80
254.50 ± 0.56
0.4N
233.14 ± 0.47
237.71 ± 0.89
242.43 ± 0.47
254.79 ± 0.72
254.36 ± 0.87
254.29 ± 0.71
254.43 ± 0.83
254.21 ± 0.59
254.07 ± 0.72
254.14 ± 0.43
254.50 ± 0.72
0.6N
230.43 ± 0.97
235.21 ± 0.46
239.29 ± 0.64
253.00 ± 0.70
253.86 ± 0.35
254.50 ± 0.72
254.57 ± 0.57
254.00 ± 0.47
255.00 ± 0.55
254.43 ± 0.70
253.71 ± 1.14
0.8N
230.14 ± 0.70
235.00 ± 0.85
238.93 ± 0.36
252.43 ± 0.65
254.21 ± 0.59
254.29 ± 0.90
254.21 ± 0.59
254.29 ± 0.45
254.36 ± 0.75
254.86 ± 0.70
254.43 ± 0.77
N
230.36 ± 0.58
234.00 ± 1.32
239.07 ± 0.91
252.14 ± 0.85
254.21 ± 0.67
254.00 ± 0.35
254.29 ± 0.90
254.29 ± 0.45
254.36 ± 0.87
254.64 ± 0.73
254.57 ± 0.73
Instance I_Re_M_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_70
0.2N
5.64
3.73
2.08
0.22
0.14
0.08
0.06
0.20
0.22
0.03
0.06
0.4N
8.44
6.65
4.80
0.06
0.11
0.14
0.08
0.17
0.22
0.20
0.06
0.6N
9.51
7.63
6.03
0.65
0.31
0.06
0.03
0.25
0.14
0.08
0.36
0.8N
9.62
7.71
6.17
0.87
0.17
0.14
0.17
0.14
0.11
0.08
0.08
N
9.54
8.11
6.12
0.98
0.17
0.25
0.14
0.14
0.11
0.00
0.03
Instance I_Re_M_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_100
0
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
0.2N
298.86 ± 0.91
305.29 ± 0.86
313.00 ± 0.95
319.57 ± 0.65
319.36 ± 0.93
319.21 ± 0.59
320.21 ± 0.79
319.36 ± 0.67
319.21 ± 0.67
319.36 ± 0.67
319.36 ± 0.81
0.4N
288.79 ± 0.91
295.21 ± 0.64
302.64 ± 0.91
318.93 ± 1.51
319.43 ± 0.70
319.43 ± 0.95
319.43 ± 0.89
319.50 ± 1.01
319.29 ± 0.78
319.00 ± 0.86
319.79 ± 0.64
0.6N
286.21 ± 0.56
291.64 ± 0.64
298.29 ± 0.57
318.57 ± 0.90
319.71 ± 1.02
319.00 ± 0.73
319.43 ± 0.77
319.14 ± 0.70
319.21 ± 0.67
319.64 ± 0.97
319.07 ± 0.64
0.8N
285.36 ± 0.58
291.43 ± 0.45
298.00 ± 0.77
317.57 ± 1.16
319.50 ± 0.91
319.43 ± 0.70
319.14 ± 0.62
319.36 ± 0.81
319.71 ± 0.91
319.36 ± 0.67
319.64 ± 0.97
N
286.00 ± 0.47
291.21 ± 0.91
297.93 ± 0.59
317.79 ± 0.98
319.50 ± 0.64
319.36 ± 0.81
319.50 ± 1.01
319.00 ± 0.57
319.71 ± 0.57
319.43 ± 0.95
319.21 ± 0.67
Instance I_Re_M_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_100
0.2N
6.38
4.36
1.95
0.11
0.04
0.00
0.31
0.04
0.00
0.04
0.04
0.4N
9.53
7.52
5.19
0.09
0.07
0.07
0.07
0.09
0.02
0.07
0.18
0.6N
10.34
8.64
6.56
0.20
0.16
0.07
0.07
0.02
0.00
0.13
0.04
0.8N
10.61
8.70
6.65
0.51
0.09
0.07
0.02
0.04
0.16
0.04
0.13
N
10.41
8.77
6.67
0.45
0.09
0.04
0.09
0.07
0.16
0.07
0.00
Instance I_Re_M_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_120
0
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
0.2N
339.93 ± 0.81
347.21 ± 0.93
355.93 ± 0.96
365.86 ± 1.05
365.29 ± 1.20
365.43 ± 1.25
365.79 ± 0.81
366.07 ± 1.21
365.93 ± 1.01
365.50 ± 1.47
365.71 ± 1.15
0.4N
328.71 ± 1.00
335.64 ± 0.67
343.71 ± 0.29
365.71 ± 1.36
365.93 ± 0.79
366.21 ± 0.79
366.14 ± 0.65
365.93 ± 0.56
365.71 ± 1.01
365.64 ± 1.21
365.50 ± 0.85
0.6N
324.07 ± 0.85
330.86 ± 0.95
338.79 ± 0.72
361.79 ± 0.73
366.14 ± 0.80
366.00 ± 1.07
366.14 ± 0.91
365.71 ± 0.64
366.21 ± 0.96
365.64 ± 1.30
366.00 ± 0.73
0.8N
323.93 ± 0.80
330.36 ± 0.58
339.14 ± 0.77
360.21 ± 0.85
365.21 ± 0.72
366.07 ± 0.80
365.64 ± 0.81
365.64 ± 0.98
365.79 ± 0.93
365.86 ± 0.77
365.50 ± 0.64
N
323.93 ± 0.97
330.36 ± 1.02
338.50 ± 0.87
360.57 ± 1.39
365.93 ± 1.06
365.93 ± 0.56
365.21 ± 1.01
365.86 ± 0.77
365.93 ± 1.01
365.71 ± 0.85
365.79 ± 0.87
Instance I_Re_M_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_120
0.2N
7.14
5.15
2.77
0.06
0.21
0.18
0.08
0.00
0.04
0.16
0.10
0.4N
10.20
8.31
6.11
0.10
0.04
0.04
0.02
0.04
0.10
0.12
0.16
0.6N
11.47
9.62
7.45
1.17
0.02
0.02
0.02
0.10
0.04
0.12
0.02
0.8N
11.51
9.76
7.36
1.60
0.23
0.00
0.12
0.12
0.08
0.06
0.16
N
11.51
9.76
7.53
1.50
0.04
0.04
0.23
0.06
0.04
0.10
0.08
Instance I_Re_M_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_150
0
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
0.2N
394.93 ± 0.50
403.71 ± 0.53
419.00 ± 0.97
423.93 ± 0.48
423.43 ± 0.62
423.93 ± 0.36
424.07 ± 0.33
423.93 ± 0.58
423.93 ± 0.48
423.86 ± 0.35
424.00 ± 0.35
0.4N
379.64 ± 0.73
388.00 ± 0.70
402.79 ± 0.87
423.71 ± 0.62
423.86 ± 0.47
423.93 ± 0.36
424.14 ± 0.53
423.79 ± 0.56
424.00 ± 0.47
423.79 ± 0.56
423.71 ± 0.62
0.6N
375.57 ± 0.43
383.50 ± 0.81
397.29 ± 0.70
423.43 ± 0.53
423.93 ± 0.36
424.07 ± 0.46
423.71 ± 0.83
423.86 ± 0.35
424.07 ± 0.46
423.79 ± 0.46
424.14 ± 0.43
0.8N
375.43 ± 0.80
382.64 ± 0.85
396.50 ± 0.59
422.57 ± 0.65
423.93 ± 0.58
424.00 ± 0.65
424.00 ± 0.47
423.79 ± 0.33
423.71 ± 0.95
423.93 ± 0.36
424.14 ± 0.29
N
374.93 ± 0.67
383.00 ± 0.83
396.57 ± 0.83
422.71 ± 0.77
424.07 ± 0.33
424.00 ± 0.57
424.14 ± 0.43
424.00 ± 0.65
424.14 ± 0.29
424.00 ± 0.35
423.86 ± 0.47
Instance I_Re_M_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_150
0.2N
6.78
4.70
1.10
0.07
0.05
0.07
0.10
0.07
0.07
0.05
0.08
0.4N
10.39
8.41
4.92
0.02
0.05
0.07
0.12
0.03
0.08
0.03
0.02
0.6N
11.35
9.48
6.22
0.05
0.07
0.10
0.02
0.05
0.10
0.03
0.12
0.8N
11.38
9.68
6.41
0.25
0.07
0.08
0.08
0.03
0.02
0.07
0.12
N
11.50
9.59
6.39
0.22
0.10
0.08
0.12
0.08
0.12
0.08
0.05
Instance I_Re_M_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_170
0
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
0.2N
430.07 ± 0.87
439.21 ± 0.59
454.71 ± 0.73
457.07 ± 0.67
457.14 ± 0.45
457.36 ± 0.56
457.36 ± 0.56
456.86 ± 0.73
457.29 ± 0.43
457.14 ± 0.55
457.57 ± 0.35
0.4N
418.21 ± 1.33
426.86 ± 1.02
441.57 ± 1.77
457.00 ± 0.53
457.07 ± 0.38
456.64 ± 0.56
457.14 ± 0.45
457.21 ± 0.38
457.00 ± 0.62
456.86 ± 0.35
457.00 ± 0.43
0.6N
414.07 ± 1.20
422.86 ± 0.55
437.36 ± 0.72
457.29 ± 0.43
457.00 ± 0.62
457.36 ± 0.46
457.00 ± 0.70
457.07 ± 0.59
457.21 ± 0.50
457.29 ± 0.53
456.86 ± 0.65
0.8N
414.14 ± 0.89
422.64 ± 0.56
436.64 ± 1.60
457.14 ± 0.71
457.29 ± 0.62
456.93 ± 0.91
456.64 ± 0.96
456.79 ± 0.80
456.79 ± 0.66
457.21 ± 0.67
456.93 ± 0.56
N
414.07 ± 0.79
422.64 ± 0.72
436.43 ± 0.71
456.71 ± 0.86
457.14 ± 0.64
457.50 ± 0.66
457.29 ± 0.29
457.14 ± 0.45
457.14 ± 0.55
457.00 ± 0.29
456.93 ± 0.56
Instance I_Re_M_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_170
0.2N
5.86
3.86
0.47
0.05
0.06
0.11
0.11
0.00
0.09
0.06
0.16
0.4N
8.46
6.57
3.35
0.03
0.05
0.05
0.06
0.08
0.03
0.00
0.03
0.6N
9.37
7.44
4.27
0.09
0.03
0.11
0.03
0.05
0.08
0.09
0.00
0.8N
9.35
7.49
4.42
0.06
0.09
0.02
0.05
0.02
0.02
0.08
0.02
N
9.37
7.49
4.47
0.03
0.06
0.14
0.09
0.06
0.06
0.03
0.02
Instance I_Re_M_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_200
0
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
0.2N
472.79 ± 0.75
483.29 ± 1.16
504.21 ± 1.21
507.93 ± 1.26
508.07 ± 0.64
508.07 ± 0.85
508.14 ± 0.97
508.50 ± 0.67
507.86 ± 0.78
508.57 ± 0.78
507.71 ± 1.10
0.4N
455.36 ± 1.12
465.29 ± 0.73
484.57 ± 1.02
507.93 ± 1.17
508.14 ± 0.65
507.71 ± 0.62
508.21 ± 0.48
507.93 ± 0.93
507.93 ± 1.13
507.64 ± 0.56
508.21 ± 0.97
0.6N
450.71 ± 0.71
459.93 ± 0.67
477.93 ± 0.75
508.50 ± 0.75
507.43 ± 1.07
508.43 ± 0.43
508.07 ± 1.01
507.79 ± 0.75
507.93 ± 0.59
507.71 ± 0.89
508.29 ± 0.73
0.8N
450.43 ± 0.35
459.50 ± 0.56
477.14 ± 0.85
507.93 ± 0.59
508.64 ± 0.87
508.00 ± 0.89
507.93 ± 0.87
508.00 ± 0.77
507.79 ± 0.59
507.79 ± 1.03
507.71 ± 0.95
N
450.79 ± 0.93
458.93 ± 0.73
477.00 ± 0.77
507.57 ± 0.73
507.64 ± 1.15
508.14 ± 0.65
507.93 ± 0.50
508.21 ± 0.86
507.64 ± 1.28
508.21 ± 0.97
508.57 ± 0.85
Instance I_Re_M_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_200
0.2N
6.95
4.88
0.76
0.03
0.00
0.00
0.01
0.08
0.04
0.10
0.07
0.4N
10.38
8.42
4.63
0.03
0.01
0.07
0.03
0.03
0.03
0.08
0.03
0.6N
11.29
9.48
5.93
0.08
0.13
0.07
0.00
0.06
0.03
0.07
0.04
0.8N
11.35
9.56
6.09
0.03
0.11
0.01
0.03
0.01
0.06
0.06
0.07
N
11.28
9.67
6.12
0.10
0.08
0.01
0.03
0.03
0.08
0.03
0.10
After Recovery Results
Instance I_S_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_50
0
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
256.83 ± 0.30
0.2N
243.69 ± 0.00
241.49 ± 1.11
240.64 ± 0.55
235.36 ± 2.41
235.23 ± 2.23
235.98 ± 2.90
237.56 ± 2.96
235.68 ± 2.93
236.10 ± 2.52
236.06 ± 2.80
237.11 ± 1.82
0.4N
237.31 ± 0.55
235.44 ± 1.07
234.32 ± 0.58
230.55 ± 1.72
225.66 ± 4.27
225.34 ± 3.24
224.40 ± 2.17
226.36 ± 2.31
226.51 ± 2.11
227.74 ± 3.04
226.60 ± 3.85
0.6N
233.93 ± 0.41
231.73 ± 1.12
230.73 ± 1.09
227.71 ± 2.00
223.60 ± 2.57
220.38 ± 2.11
221.29 ± 1.11
221.10 ± 1.18
222.92 ± 2.68
221.36 ± 1.22
220.99 ± 1.85
0.8N
233.03 ± 0.25
231.06 ± 1.13
229.46 ± 1.31
229.96 ± 1.17
222.26 ± 2.04
221.83 ± 1.78
222.66 ± 1.69
222.53 ± 2.20
221.73 ± 1.97
222.50 ± 2.53
221.59 ± 1.85
N
233.08 ± 0.26
230.61 ± 1.02
230.34 ± 1.18
229.18 ± 1.06
222.92 ± 2.65
222.29 ± 2.80
221.87 ± 1.68
223.21 ± 2.16
221.96 ± 1.87
220.78 ± 1.04
222.22 ± 2.67
Instance I_S_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_50
0.2N
5.12
5.97
6.30
8.36
8.41
8.12
7.50
8.23
8.07
8.09
7.68
0.4N
7.60
8.33
8.77
10.23
12.13
12.26
12.63
11.86
11.80
11.32
11.77
0.6N
8.92
9.77
10.16
11.34
12.94
14.19
13.84
13.91
13.20
13.81
13.95
0.8N
9.26
10.03
10.66
10.46
13.46
13.63
13.31
13.35
13.67
13.37
13.72
N
9.25
10.21
10.31
10.77
13.20
13.45
13.61
13.09
13.58
14.04
13.48
Instance I_S_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_70
0
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
342.35 ± 0.21
0.2N
320.24 ± 0.28
318.23 ± 0.92
317.57 ± 1.48
313.05 ± 2.87
311.03 ± 4.68
313.00 ± 2.66
309.63 ± 3.72
309.62 ± 3.26
310.49 ± 4.10
310.04 ± 3.39
310.19 ± 3.69
0.4N
309.79 ± 0.50
307.96 ± 1.58
307.37 ± 1.22
301.15 ± 3.08
294.98 ± 3.02
294.86 ± 2.18
292.55 ± 2.63
293.71 ± 3.93
293.63 ± 4.36
293.55 ± 2.99
294.03 ± 4.31
0.6N
306.07 ± 0.64
303.88 ± 1.06
303.18 ± 1.65
297.85 ± 2.01
290.16 ± 1.75
290.40 ± 3.38
291.69 ± 3.02
289.25 ± 2.18
289.42 ± 2.47
290.48 ± 3.38
290.80 ± 3.16
0.8N
305.84 ± 0.73
304.01 ± 0.97
302.13 ± 2.12
298.04 ± 1.66
289.62 ± 2.33
292.57 ± 2.06
288.84 ± 3.08
291.68 ± 2.40
290.27 ± 1.57
290.74 ± 3.14
290.27 ± 2.35
N
306.04 ± 0.47
304.10 ± 1.31
302.99 ± 1.83
298.45 ± 3.53
290.02 ± 2.20
291.27 ± 2.43
289.62 ± 1.82
291.86 ± 3.00
290.35 ± 2.12
291.39 ± 2.15
290.90 ± 3.53
Instance I_S_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_70
0.2N
6.46
7.05
7.24
8.56
9.15
8.57
9.56
9.56
9.31
9.44
9.40
0.4N
9.51
10.05
10.22
12.04
13.84
13.87
14.55
14.21
14.23
14.26
14.12
0.6N
10.60
11.24
11.44
13.00
15.25
15.18
14.80
15.51
15.46
15.15
15.06
0.8N
10.67
11.20
11.75
12.94
15.40
14.54
15.63
14.80
15.21
15.08
15.21
N
10.61
11.17
11.50
12.82
15.29
14.92
15.40
14.75
15.19
14.89
15.03
Instance I_S_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_100
0
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
450.16 ± 0.55
0.2N
427.43 ± 0.43
424.47 ± 1.82
421.42 ± 1.77
412.22 ± 2.94
411.14 ± 2.48
410.20 ± 4.62
412.09 ± 3.93
409.41 ± 4.12
411.93 ± 4.83
412.84 ± 4.82
409.58 ± 2.81
0.4N
419.76 ± 0.85
417.10 ± 1.80
414.27 ± 2.73
406.36 ± 2.78
392.89 ± 5.18
396.47 ± 4.26
393.19 ± 6.97
391.53 ± 3.21
393.81 ± 6.10
395.31 ± 4.66
395.01 ± 3.30
0.6N
415.48 ± 0.71
412.22 ± 1.86
409.59 ± 1.96
402.35 ± 1.55
385.49 ± 5.22
387.77 ± 7.30
386.56 ± 6.76
389.36 ± 5.52
388.12 ± 6.17
386.94 ± 4.53
387.29 ± 7.70
0.8N
414.41 ± 0.68
412.92 ± 1.42
410.12 ± 2.00
402.05 ± 2.75
384.23 ± 4.13
388.83 ± 6.08
386.99 ± 5.84
386.42 ± 5.04
388.53 ± 4.63
386.55 ± 6.27
386.05 ± 4.21
N
414.70 ± 0.60
411.89 ± 2.02
407.86 ± 1.86
402.52 ± 3.06
389.15 ± 6.21
386.08 ± 6.19
388.90 ± 5.01
388.71 ± 5.23
386.58 ± 4.95
388.17 ± 7.75
387.24 ± 6.40
Instance I_S_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_100
0.2N
5.05
5.71
6.38
8.43
8.67
8.88
8.46
9.05
8.49
8.29
9.01
0.4N
6.75
7.34
7.97
9.73
12.72
11.93
12.65
13.02
12.52
12.18
12.25
0.6N
7.70
8.43
9.01
10.62
14.37
13.86
14.13
13.51
13.78
14.04
13.97
0.8N
7.94
8.27
8.89
10.69
14.64
13.62
14.03
14.16
13.69
14.13
14.24
N
7.88
8.50
9.40
10.58
13.55
14.23
13.61
13.65
14.12
13.77
13.98
Instance I_S_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_120
0
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
581.21 ± 0.38
0.2N
544.49 ± 0.70
541.17 ± 2.42
533.24 ± 3.58
521.99 ± 3.95
513.38 ± 7.35
515.28 ± 7.82
516.26 ± 5.46
517.84 ± 4.76
514.56 ± 3.72
513.86 ± 7.25
510.28 ± 7.45
0.4N
531.82 ± 0.62
528.70 ± 1.75
522.84 ± 2.98
510.81 ± 5.07
487.29 ± 5.56
486.17 ± 5.10
488.54 ± 7.34
484.22 ± 6.75
488.09 ± 5.13
484.70 ± 5.55
482.69 ± 6.01
0.6N
526.27 ± 0.70
524.54 ± 1.41
518.04 ± 2.67
509.58 ± 4.55
486.96 ± 5.80
480.49 ± 7.82
480.47 ± 5.63
478.16 ± 5.39
481.18 ± 11.23
476.78 ± 7.10
478.11 ± 6.70
0.8N
525.98 ± 0.49
522.78 ± 1.66
518.07 ± 1.39
509.17 ± 3.28
485.85 ± 3.59
482.48 ± 7.41
481.30 ± 6.68
478.70 ± 3.40
479.72 ± 3.42
482.30 ± 8.87
485.00 ± 5.51
N
525.58 ± 0.58
522.03 ± 1.60
518.89 ± 2.43
509.38 ± 4.35
485.30 ± 4.60
478.75 ± 4.28
481.96 ± 7.08
481.24 ± 5.74
481.07 ± 5.58
477.72 ± 5.70
480.83 ± 8.82
Instance I_S_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_120
0.2N
6.32
6.89
8.25
10.19
11.67
11.34
11.17
10.90
11.47
11.59
12.20
0.4N
8.50
9.03
10.04
12.11
16.16
16.35
15.94
16.69
16.02
16.60
16.95
0.6N
9.45
9.75
10.87
12.32
16.22
17.33
17.33
17.73
17.21
17.97
17.74
0.8N
9.50
10.05
10.86
12.40
16.41
16.99
17.19
17.64
17.46
17.02
16.55
N
9.57
10.18
10.72
12.36
16.50
17.63
17.08
17.20
17.23
17.81
17.27
Instance I_S_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_150
0
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
739.60 ± 0.41
0.2N
690.88 ± 0.65
685.57 ± 2.13
676.58 ± 2.54
666.32 ± 4.02
667.01 ± 2.37
666.90 ± 3.62
667.12 ± 3.49
667.10 ± 4.22
668.32 ± 2.38
670.28 ± 3.14
667.09 ± 3.71
0.4N
669.65 ± 1.01
664.37 ± 2.41
653.87 ± 4.11
640.03 ± 4.96
635.24 ± 5.37
633.03 ± 5.08
634.12 ± 5.81
633.52 ± 5.97
631.56 ± 4.51
630.97 ± 5.32
633.29 ± 5.03
0.6N
663.27 ± 0.80
659.00 ± 2.62
649.74 ± 2.54
635.72 ± 3.19
627.17 ± 4.72
626.21 ± 5.23
622.96 ± 3.83
623.70 ± 6.47
626.88 ± 3.94
624.25 ± 5.06
626.65 ± 4.88
0.8N
662.96 ± 0.66
659.68 ± 2.45
649.50 ± 2.45
636.22 ± 4.48
627.02 ± 4.16
627.90 ± 4.06
628.68 ± 3.72
625.98 ± 5.00
624.24 ± 4.32
628.88 ± 5.58
628.26 ± 4.92
N
663.41 ± 0.59
658.52 ± 1.92
649.51 ± 3.96
635.44 ± 2.42
626.92 ± 4.18
628.48 ± 5.11
625.65 ± 4.21
627.51 ± 3.46
629.70 ± 5.67
622.97 ± 2.58
625.51 ± 6.48
Instance I_S_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_150
0.2N
6.59
7.30
8.52
9.91
9.81
9.83
9.80
9.80
9.64
9.37
9.80
0.4N
9.46
10.17
11.59
13.46
14.11
14.41
14.26
14.34
14.61
14.69
14.37
0.6N
10.32
10.90
12.15
14.05
15.20
15.33
15.77
15.67
15.24
15.60
15.27
0.8N
10.36
10.81
12.18
13.98
15.22
15.10
15.00
15.36
15.60
14.97
15.05
N
10.30
10.96
12.18
14.08
15.24
15.02
15.41
15.16
14.86
15.77
15.43
Instance I_S_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_170
0
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
849.80 ± 0.81
0.2N
793.96 ± 0.86
788.66 ± 1.62
784.07 ± 3.32
769.71 ± 3.78
763.36 ± 5.89
764.61 ± 3.37
764.74 ± 5.02
764.17 ± 4.53
763.32 ± 6.82
763.78 ± 5.42
770.01 ± 5.18
0.4N
774.46 ± 0.90
769.74 ± 2.85
764.71 ± 3.47
750.13 ± 2.81
732.13 ± 2.80
728.97 ± 5.09
729.48 ± 6.09
728.42 ± 6.86
728.87 ± 4.53
729.04 ± 4.52
729.08 ± 5.73
0.6N
766.84 ± 0.74
761.87 ± 1.88
755.71 ± 2.73
744.61 ± 1.57
716.96 ± 3.02
715.38 ± 5.82
722.09 ± 8.32
716.85 ± 4.99
715.81 ± 4.97
716.92 ± 3.17
720.54 ± 5.72
0.8N
765.45 ± 0.85
758.91 ± 2.31
757.42 ± 2.16
743.96 ± 3.73
720.47 ± 7.51
716.71 ± 8.32
717.25 ± 7.04
719.14 ± 4.95
718.69 ± 6.53
720.28 ± 5.78
718.81 ± 10.30
N
765.13 ± 1.28
761.34 ± 2.34
755.77 ± 1.97
742.56 ± 4.00
720.32 ± 4.69
716.46 ± 6.55
717.68 ± 5.91
716.09 ± 5.32
721.20 ± 5.47
719.04 ± 8.09
719.57 ± 5.77
Instance I_S_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_170
0.2N
6.57
7.19
7.74
9.42
10.17
10.02
10.01
10.08
10.18
10.12
9.39
0.4N
8.87
9.42
10.01
11.73
13.85
14.22
14.16
14.28
14.23
14.21
14.21
0.6N
9.76
10.35
11.07
12.38
15.63
15.82
15.03
15.64
15.77
15.64
15.21
0.8N
9.93
10.70
10.87
12.45
15.22
15.66
15.60
15.38
15.43
15.24
15.41
N
9.96
10.41
11.06
12.62
15.24
15.69
15.55
15.73
15.13
15.39
15.33
Instance I_S_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_200
0
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
946.62 ± 1.24
0.2N
886.95 ± 0.69
878.71 ± 1.82
868.38 ± 4.86
842.08 ± 3.59
843.87 ± 5.23
843.16 ± 4.78
843.23 ± 6.86
842.14 ± 7.04
844.19 ± 4.28
844.94 ± 6.68
845.27 ± 7.39
0.4N
861.32 ± 1.51
854.75 ± 3.11
840.90 ± 3.62
820.09 ± 4.12
808.65 ± 6.66
808.49 ± 4.15
809.66 ± 3.17
806.42 ± 2.75
807.88 ± 1.81
808.90 ± 4.27
807.09 ± 4.15
0.6N
851.83 ± 0.97
844.34 ± 3.79
833.54 ± 3.69
812.03 ± 1.55
798.48 ± 4.97
801.65 ± 4.99
801.76 ± 5.48
798.55 ± 3.88
803.14 ± 2.78
800.84 ± 4.31
800.46 ± 3.27
0.8N
850.16 ± 1.17
844.54 ± 3.22
831.85 ± 3.10
814.67 ± 4.70
799.50 ± 5.17
803.01 ± 3.82
801.57 ± 3.13
797.38 ± 5.25
802.10 ± 4.76
802.60 ± 5.18
802.65 ± 3.94
N
850.64 ± 1.01
844.15 ± 2.89
834.29 ± 4.49
815.96 ± 5.63
801.80 ± 5.31
796.61 ± 4.96
801.51 ± 2.47
800.48 ± 4.41
801.42 ± 4.90
798.30 ± 6.44
802.69 ± 3.66
Instance I_S_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_S_200
0.2N
6.30
7.17
8.26
11.04
10.85
10.93
10.92
11.04
10.82
10.74
10.71
0.4N
9.01
9.71
11.17
13.37
14.58
14.59
14.47
14.81
14.66
14.55
14.74
0.6N
10.01
10.81
11.95
14.22
15.65
15.31
15.30
15.64
15.16
15.40
15.44
0.8N
10.19
10.78
12.12
13.94
15.54
15.17
15.32
15.77
15.27
15.21
15.21
N
10.14
10.82
11.87
13.80
15.30
15.85
15.33
15.44
15.34
15.67
15.20
Instance I_Re_E_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_50
0
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
163.45 ± 0.79
0.2N
152.64 ± 1.03
151.55 ± 1.35
150.45 ± 1.59
149.73 ± 2.03
149.64 ± 1.30
149.73 ± 2.27
149.64 ± 1.48
148.45 ± 0.42
149.64 ± 1.30
149.73 ± 2.30
150.36 ± 1.36
0.4N
148.36 ± 0.36
148.18 ± 0.41
146.91 ± 1.48
145.45 ± 1.41
145.09 ± 1.59
144.36 ± 1.51
145.09 ± 1.96
144.64 ± 1.49
143.73 ± 1.49
145.00 ± 1.30
143.82 ± 1.56
0.6N
146.45 ± 1.43
145.00 ± 2.04
144.91 ± 0.45
144.00 ± 2.70
142.91 ± 1.21
141.64 ± 1.51
143.36 ± 1.68
143.27 ± 1.73
142.36 ± 2.20
142.91 ± 2.22
143.00 ± 1.63
0.8N
145.64 ± 1.14
145.27 ± 2.26
144.82 ± 0.58
142.55 ± 1.94
142.09 ± 1.52
142.36 ± 1.96
142.73 ± 1.52
142.00 ± 2.40
140.91 ± 1.91
143.45 ± 1.40
143.27 ± 1.59
N
146.73 ± 1.48
145.27 ± 1.06
144.00 ± 1.69
143.55 ± 1.38
143.91 ± 1.35
143.18 ± 1.53
142.18 ± 1.42
141.73 ± 1.31
143.09 ± 2.31
142.18 ± 1.23
141.82 ± 1.00
Instance I_Re_E_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_50
0.2N
6.62
7.29
7.95
8.40
8.45
8.40
8.45
9.18
8.45
8.40
8.01
0.4N
9.23
9.34
10.12
11.01
11.23
11.68
11.23
11.51
12.07
11.29
12.01
0.6N
10.40
11.29
11.35
11.90
12.57
13.35
12.29
12.35
12.90
12.57
12.51
0.8N
10.90
11.12
11.40
12.79
13.07
12.90
12.68
13.13
13.79
12.24
12.35
N
10.23
11.12
11.90
12.18
11.96
12.40
13.01
13.29
12.46
13.01
13.24
Instance I_Re_E_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_70
0
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
215.73 ± 1.58
0.2N
198.82 ± 1.15
197.27 ± 1.68
197.09 ± 1.72
196.91 ± 1.48
196.09 ± 1.77
197.27 ± 2.23
198.36 ± 1.45
196.27 ± 1.79
197.09 ± 1.67
197.36 ± 1.75
196.45 ± 2.13
0.4N
191.91 ± 1.03
189.64 ± 1.48
190.09 ± 1.60
186.45 ± 2.86
186.64 ± 2.34
187.82 ± 2.45
186.91 ± 2.27
186.73 ± 1.48
188.00 ± 1.51
188.18 ± 3.07
187.64 ± 1.16
0.6N
188.82 ± 1.47
186.55 ± 1.76
187.27 ± 1.57
182.91 ± 2.53
182.09 ± 2.88
184.45 ± 1.84
183.27 ± 3.62
182.82 ± 4.33
184.45 ± 2.32
182.45 ± 2.27
183.09 ± 3.07
0.8N
188.64 ± 0.45
186.91 ± 1.48
188.36 ± 1.06
180.73 ± 2.66
182.55 ± 1.76
183.55 ± 2.13
183.64 ± 3.35
182.45 ± 2.03
183.27 ± 3.73
184.36 ± 2.87
182.09 ± 2.67
N
189.27 ± 0.89
187.00 ± 2.11
188.00 ± 1.56
182.73 ± 3.52
183.27 ± 2.99
183.64 ± 3.04
182.09 ± 3.25
183.55 ± 3.80
182.00 ± 3.72
183.18 ± 2.55
185.00 ± 2.70
Instance I_Re_E_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_70
0.2N
7.84
8.55
8.64
8.72
9.10
8.55
8.05
9.02
8.64
8.51
8.93
0.4N
11.04
12.09
11.88
13.57
13.49
12.94
13.36
13.44
12.85
12.77
13.02
0.6N
12.47
13.53
13.19
15.21
15.59
14.50
15.04
15.25
14.50
15.42
15.13
0.8N
12.56
13.36
12.68
16.22
15.38
14.92
14.88
15.42
15.04
14.54
15.59
N
12.26
13.32
12.85
15.30
15.04
14.88
15.59
14.92
15.63
15.09
14.24
Instance I_Re_E_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_100
0
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
296.73 ± 0.60
0.2N
270.55 ± 1.01
268.91 ± 1.45
266.36 ± 2.87
262.18 ± 2.73
261.55 ± 2.03
261.82 ± 2.54
260.36 ± 1.53
261.55 ± 1.91
262.64 ± 3.13
262.64 ± 1.70
261.91 ± 2.74
0.4N
259.73 ± 1.52
257.55 ± 2.44
254.73 ± 1.85
248.00 ± 1.51
245.82 ± 1.59
246.64 ± 1.82
247.73 ± 1.78
246.27 ± 2.24
246.64 ± 0.58
246.36 ± 1.63
245.73 ± 1.29
0.6N
254.45 ± 1.31
252.36 ± 1.42
250.64 ± 2.64
242.73 ± 1.15
240.36 ± 1.83
240.09 ± 2.68
240.00 ± 2.34
241.27 ± 1.78
241.00 ± 3.62
241.18 ± 1.73
239.64 ± 2.34
0.8N
254.55 ± 1.35
251.45 ± 2.48
249.82 ± 3.70
240.91 ± 1.35
241.36 ± 1.92
241.36 ± 1.92
240.91 ± 2.19
240.91 ± 1.68
240.82 ± 3.24
239.64 ± 2.73
241.09 ± 1.67
N
254.55 ± 1.22
252.55 ± 2.14
251.00 ± 2.52
242.09 ± 1.52
240.55 ± 2.16
242.45 ± 1.15
240.18 ± 1.72
240.00 ± 3.35
241.82 ± 1.41
241.55 ± 1.63
241.09 ± 2.33
Instance I_Re_E_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_100
0.2N
8.82
9.37
10.23
11.64
11.86
11.76
12.25
11.86
11.49
11.49
11.73
0.4N
12.47
13.20
14.15
16.42
17.16
16.88
16.51
17.00
16.88
16.97
17.19
0.6N
14.25
14.95
15.53
18.20
19.00
19.09
19.12
18.69
18.78
18.72
19.24
0.8N
14.22
15.26
15.81
18.81
18.66
18.66
18.81
18.81
18.84
19.24
18.75
N
14.22
14.89
15.41
18.41
18.93
18.29
19.06
19.12
18.50
18.60
18.75
Instance I_Re_E_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_120
0
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
339.73 ± 0.82
0.2N
315.64 ± 0.79
312.45 ± 2.23
307.64 ± 2.41
304.91 ± 2.88
305.73 ± 1.41
305.00 ± 1.53
305.27 ± 1.40
305.45 ± 1.77
305.55 ± 2.55
306.91 ± 1.64
306.55 ± 1.51
0.4N
304.45 ± 0.76
301.64 ± 1.45
298.45 ± 1.68
289.09 ± 1.77
288.64 ± 2.67
291.36 ± 2.45
290.55 ± 2.85
291.45 ± 2.41
290.18 ± 2.95
290.36 ± 3.15
290.09 ± 2.65
0.6N
300.27 ± 1.00
297.18 ± 2.42
294.64 ± 3.16
286.91 ± 2.45
286.64 ± 3.10
285.36 ± 2.17
285.27 ± 3.77
286.09 ± 2.37
285.00 ± 2.64
285.09 ± 2.82
284.45 ± 1.97
0.8N
300.18 ± 0.68
298.45 ± 1.47
294.45 ± 1.75
285.00 ± 2.91
287.27 ± 3.15
286.36 ± 3.10
286.27 ± 2.35
285.36 ± 2.65
286.27 ± 2.05
286.00 ± 1.92
285.45 ± 2.60
N
300.45 ± 0.84
297.18 ± 1.88
295.27 ± 2.02
285.00 ± 2.91
286.55 ± 2.87
285.73 ± 3.23
286.45 ± 2.13
285.55 ± 1.75
284.45 ± 1.60
285.73 ± 2.23
286.45 ± 2.71
Instance I_Re_E_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_120
0.2N
7.09
8.03
9.45
10.25
10.01
10.22
10.14
10.09
10.06
9.66
9.77
0.4N
10.38
11.21
12.15
14.91
15.04
14.24
14.48
14.21
14.58
14.53
14.61
0.6N
11.61
12.52
13.27
15.55
15.63
16.00
16.03
15.79
16.11
16.08
16.27
0.8N
11.64
12.15
13.33
16.11
15.44
15.71
15.73
16.00
15.73
15.81
15.98
N
11.56
12.52
13.09
16.11
15.65
15.90
15.68
15.95
16.27
15.90
15.68
Instance I_Re_E_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_150
0
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
404.45 ± 0.95
0.2N
373.18 ± 0.73
370.73 ± 1.14
366.45 ± 2.01
362.09 ± 1.73
362.91 ± 1.67
362.73 ± 0.41
362.27 ± 1.48
362.55 ± 1.56
362.55 ± 2.02
361.36 ± 1.36
363.36 ± 0.91
0.4N
361.64 ± 0.89
359.27 ± 1.62
353.55 ± 2.21
345.55 ± 3.26
346.45 ± 1.75
345.36 ± 2.13
347.00 ± 2.64
345.36 ± 2.55
347.09 ± 3.04
347.27 ± 2.60
346.09 ± 2.34
0.6N
357.45 ± 0.98
353.45 ± 2.22
350.64 ± 1.35
339.91 ± 3.89
341.91 ± 2.39
341.18 ± 2.51
340.64 ± 3.28
341.09 ± 2.60
341.55 ± 1.91
341.36 ± 2.51
342.64 ± 2.28
0.8N
356.82 ± 0.73
354.09 ± 1.92
350.73 ± 1.27
339.55 ± 2.58
343.00 ± 1.99
341.27 ± 2.04
341.73 ± 2.68
341.18 ± 2.08
340.91 ± 2.19
341.27 ± 2.61
340.55 ± 1.96
N
357.27 ± 0.57
353.64 ± 1.63
352.18 ± 2.27
340.09 ± 5.10
340.82 ± 2.39
341.82 ± 3.12
342.00 ± 2.22
342.55 ± 1.56
339.73 ± 1.95
341.09 ± 1.56
342.18 ± 2.76
Instance I_Re_E_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_150
0.2N
7.73
8.34
9.40
10.47
10.27
10.32
10.43
10.36
10.36
10.65
10.16
0.4N
10.59
11.17
12.59
14.57
14.34
14.61
14.21
14.61
14.18
14.14
14.43
0.6N
11.62
12.61
13.31
15.96
15.46
15.64
15.78
15.67
15.55
15.60
15.28
0.8N
11.78
12.45
13.28
16.05
15.19
15.62
15.51
15.64
15.71
15.62
15.80
N
11.67
12.56
12.92
15.91
15.73
15.49
15.44
15.31
16.00
15.67
15.40
Instance I_Re_E_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_170
0
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
449.00 ± 0.86
0.2N
413.09 ± 1.16
410.36 ± 2.64
405.73 ± 2.11
400.91 ± 1.99
400.27 ± 2.99
401.00 ± 2.13
400.55 ± 2.12
400.73 ± 2.29
401.09 ± 2.43
399.55 ± 2.99
399.09 ± 2.79
0.4N
402.27 ± 1.17
398.82 ± 1.73
395.82 ± 2.34
380.00 ± 4.93
382.73 ± 3.40
380.00 ± 1.08
379.73 ± 4.45
381.73 ± 2.09
380.73 ± 2.10
380.00 ± 4.96
382.00 ± 2.33
0.6N
397.09 ± 0.68
394.45 ± 2.05
390.91 ± 1.86
378.64 ± 4.17
374.82 ± 3.35
376.45 ± 2.32
375.27 ± 1.34
377.00 ± 1.35
375.55 ± 2.83
375.45 ± 4.64
375.73 ± 2.34
0.8N
396.82 ± 0.93
394.82 ± 1.35
391.82 ± 2.30
374.82 ± 2.30
375.45 ± 3.77
374.27 ± 2.30
374.64 ± 3.31
376.64 ± 2.44
373.91 ± 3.12
374.27 ± 3.57
374.55 ± 3.10
N
396.64 ± 0.71
394.09 ± 1.92
390.36 ± 2.51
376.55 ± 2.43
374.91 ± 2.82
376.00 ± 1.23
374.09 ± 2.38
373.18 ± 2.64
374.55 ± 3.47
376.09 ± 2.57
373.64 ± 2.63
Instance I_Re_E_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_170
0.2N
8.00
8.60
9.64
10.71
10.85
10.69
10.79
10.75
10.67
11.01
11.12
0.4N
10.41
11.18
11.84
15.37
14.76
15.37
15.43
14.98
15.21
15.37
14.92
0.6N
11.56
12.15
12.94
15.67
16.52
16.16
16.42
16.04
16.36
16.38
16.32
0.8N
11.62
12.07
12.74
16.52
16.38
16.64
16.56
16.12
16.72
16.64
16.58
N
11.66
12.23
13.06
16.14
16.50
16.26
16.68
16.89
16.58
16.24
16.78
Instance I_Re_E_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_200
0
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
513.27 ± 2.08
0.2N
474.09 ± 1.53
470.09 ± 2.05
466.55 ± 1.67
461.45 ± 2.20
461.45 ± 2.27
461.36 ± 2.76
460.36 ± 1.87
461.55 ± 2.47
461.18 ± 1.99
461.45 ± 4.07
461.91 ± 1.65
0.4N
460.00 ± 1.00
455.55 ± 2.32
450.45 ± 2.48
435.09 ± 4.90
437.45 ± 2.69
436.09 ± 6.63
438.18 ± 2.44
433.82 ± 5.76
438.00 ± 2.95
436.91 ± 3.84
436.27 ± 3.67
0.6N
453.36 ± 1.29
450.18 ± 2.47
445.82 ± 2.08
430.36 ± 3.69
429.36 ± 4.49
429.91 ± 3.55
430.82 ± 2.77
429.91 ± 4.17
429.73 ± 3.33
424.45 ± 3.55
428.73 ± 4.40
0.8N
453.09 ± 1.42
447.91 ± 2.37
445.64 ± 1.98
428.36 ± 5.51
429.45 ± 4.40
428.00 ± 3.94
427.36 ± 4.84
429.27 ± 3.42
429.27 ± 3.25
427.64 ± 3.02
431.00 ± 3.41
N
452.55 ± 1.21
449.55 ± 2.16
444.73 ± 3.49
431.18 ± 3.88
428.91 ± 3.40
428.18 ± 3.33
429.55 ± 3.41
430.36 ± 2.91
428.73 ± 4.29
426.45 ± 3.87
427.36 ± 4.97
Instance I_Re_E_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_E_200
0.2N
7.63
8.41
9.10
10.10
10.10
10.11
10.31
10.08
10.15
10.10
10.01
0.4N
10.38
11.25
12.24
15.23
14.77
15.04
14.63
15.48
14.67
14.88
15.00
0.6N
11.67
12.29
13.14
16.15
16.35
16.24
16.06
16.24
16.28
17.30
16.47
0.8N
11.73
12.73
13.18
16.54
16.33
16.61
16.74
16.37
16.37
16.68
16.03
N
11.83
12.42
13.35
15.99
16.44
16.58
16.31
16.15
16.47
16.91
16.74
Instance I_Re_M_50 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_50
0
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
202.21 ± 0.98
0.2N
189.29 ± 0.00
187.00 ± 2.63
184.86 ± 1.31
183.57 ± 2.09
182.57 ± 2.73
182.43 ± 1.78
182.79 ± 1.70
182.86 ± 2.43
182.50 ± 2.26
183.43 ± 2.76
182.57 ± 2.26
0.4N
185.00 ± 0.00
183.43 ± 1.35
180.50 ± 2.19
174.79 ± 2.89
173.57 ± 3.11
174.43 ± 2.14
173.57 ± 2.26
175.29 ± 3.15
174.86 ± 3.13
175.93 ± 3.37
175.57 ± 2.71
0.6N
182.43 ± 0.57
180.79 ± 1.44
178.79 ± 2.67
175.36 ± 4.17
172.43 ± 3.49
173.07 ± 2.33
172.64 ± 2.65
172.93 ± 3.07
171.64 ± 2.17
171.86 ± 2.39
171.93 ± 1.81
0.8N
182.14 ± 0.64
179.86 ± 1.65
179.00 ± 1.97
175.00 ± 3.34
171.57 ± 2.16
173.64 ± 3.43
171.36 ± 3.33
173.00 ± 2.57
172.43 ± 2.62
174.71 ± 2.98
172.36 ± 3.03
N
181.93 ± 0.64
179.43 ± 2.41
178.64 ± 2.50
174.07 ± 3.50
172.00 ± 2.65
172.71 ± 2.07
172.00 ± 1.94
173.64 ± 2.15
172.57 ± 2.52
172.14 ± 2.37
173.29 ± 1.76
Instance I_Re_M_50 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_50
0.2N
6.39
7.52
8.58
9.22
9.71
9.78
9.61
9.57
9.75
9.29
9.71
0.4N
8.51
9.29
10.74
13.56
14.16
13.74
14.16
13.32
13.53
13.00
13.18
0.6N
9.78
10.60
11.59
13.28
14.73
14.41
14.62
14.48
15.12
15.01
14.98
0.8N
9.93
11.06
11.48
13.46
15.15
14.13
15.26
14.45
14.73
13.60
14.77
N
10.03
11.27
11.66
13.92
14.94
14.59
14.94
14.13
14.66
14.87
14.31
Instance I_Re_M_70 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_70
0
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
254.64 ± 0.80
0.2N
240.29 ± 0.57
239.21 ± 1.17
239.36 ± 1.03
234.71 ± 1.81
235.93 ± 2.14
235.86 ± 2.76
235.00 ± 2.09
235.14 ± 2.19
234.29 ± 2.07
235.64 ± 3.58
235.57 ± 2.25
0.4N
233.14 ± 0.47
231.14 ± 1.73
230.00 ± 1.97
225.50 ± 3.43
225.21 ± 2.91
225.64 ± 3.31
225.86 ± 2.41
224.07 ± 3.15
225.00 ± 2.52
223.07 ± 3.31
225.79 ± 2.54
0.6N
230.43 ± 0.97
228.50 ± 0.75
228.93 ± 0.92
222.14 ± 2.93
219.50 ± 3.38
221.50 ± 3.58
221.86 ± 3.35
221.00 ± 2.97
222.64 ± 3.00
222.36 ± 2.95
222.57 ± 3.35
0.8N
230.14 ± 0.70
229.21 ± 1.03
227.71 ± 1.71
224.29 ± 1.36
220.43 ± 2.79
219.21 ± 4.45
222.00 ± 4.19
220.57 ± 2.49
221.86 ± 2.97
221.71 ± 4.19
221.43 ± 2.35
N
230.36 ± 0.58
227.57 ± 1.95
227.36 ± 2.00
223.50 ± 3.04
221.00 ± 3.29
219.00 ± 3.25
221.29 ± 3.03
220.71 ± 3.68
222.43 ± 2.62
221.93 ± 4.03
219.43 ± 3.09
Instance I_Re_M_70 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_70
0.2N
5.64
6.06
6.00
7.83
7.35
7.38
7.71
7.66
7.99
7.46
7.49
0.4N
8.44
9.23
9.68
11.44
11.56
11.39
11.30
12.01
11.64
12.40
11.33
0.6N
9.51
10.27
10.10
12.76
13.80
13.02
12.88
13.21
12.57
12.68
12.59
0.8N
9.62
9.99
10.58
11.92
13.44
13.91
12.82
13.38
12.88
12.93
13.04
N
9.54
10.63
10.72
12.23
13.21
14.00
13.10
13.32
12.65
12.85
13.83
Instance I_Re_M_100 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_100
0
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
319.21 ± 1.03
0.2N
298.86 ± 0.91
297.29 ± 1.35
296.57 ± 2.16
293.93 ± 1.47
293.57 ± 1.94
294.07 ± 1.94
295.64 ± 1.76
293.79 ± 1.50
293.43 ± 2.21
294.36 ± 2.15
292.71 ± 1.88
0.4N
288.79 ± 0.91
287.64 ± 1.01
288.21 ± 0.86
282.93 ± 2.15
281.43 ± 2.14
282.14 ± 1.28
282.21 ± 1.21
282.86 ± 1.63
282.07 ± 1.58
281.36 ± 1.48
282.43 ± 1.60
0.6N
286.21 ± 0.56
285.21 ± 0.85
284.36 ± 0.75
281.14 ± 1.32
278.86 ± 2.24
278.07 ± 0.96
279.14 ± 1.46
278.07 ± 1.53
278.43 ± 1.31
279.71 ± 1.64
278.29 ± 1.67
0.8N
285.36 ± 0.58
285.21 ± 1.20
284.14 ± 0.77
281.36 ± 0.67
278.79 ± 1.50
279.86 ± 1.68
279.36 ± 1.55
279.21 ± 2.25
279.50 ± 1.86
279.14 ± 1.14
279.29 ± 2.12
N
286.00 ± 0.47
284.57 ± 1.54
283.57 ± 1.86
281.00 ± 0.80
279.21 ± 1.41
278.57 ± 1.53
280.36 ± 1.33
278.00 ± 1.49
279.36 ± 1.03
279.00 ± 2.33
279.14 ± 1.10
Instance I_Re_M_100 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_100
0.2N
6.38
6.87
7.09
7.92
8.03
7.88
7.38
7.97
8.08
7.79
8.30
0.4N
9.53
9.89
9.71
11.37
11.84
11.61
11.59
11.39
11.64
11.86
11.52
0.6N
10.34
10.65
10.92
11.93
12.64
12.89
12.55
12.89
12.78
12.37
12.82
0.8N
10.61
10.65
10.99
11.86
12.67
12.33
12.49
12.53
12.44
12.55
12.51
N
10.41
10.85
11.17
11.97
12.53
12.73
12.17
12.91
12.49
12.60
12.55
Instance I_Re_M_120 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_120
0
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
366.07 ± 1.40
0.2N
339.93 ± 0.81
338.64 ± 0.93
337.14 ± 1.20
334.29 ± 1.50
332.86 ± 1.66
332.79 ± 2.01
333.93 ± 1.92
333.79 ± 1.89
334.57 ± 2.31
333.07 ± 1.92
334.86 ± 1.74
0.4N
328.71 ± 1.00
327.29 ± 1.10
326.00 ± 1.25
319.64 ± 1.29
319.43 ± 1.65
319.00 ± 1.67
318.29 ± 2.03
318.64 ± 2.06
318.64 ± 1.82
318.86 ± 2.03
318.93 ± 1.90
0.6N
324.07 ± 0.85
322.86 ± 1.15
322.00 ± 0.70
317.36 ± 2.10
314.71 ± 2.54
314.93 ± 2.31
314.71 ± 1.95
315.71 ± 1.69
315.57 ± 1.49
315.79 ± 1.30
314.71 ± 1.12
0.8N
323.93 ± 0.80
322.21 ± 1.17
322.57 ± 1.60
317.79 ± 1.21
314.00 ± 1.87
314.50 ± 1.43
315.07 ± 1.82
313.64 ± 1.64
313.64 ± 2.60
316.29 ± 1.14
315.14 ± 2.30
N
323.93 ± 0.97
322.07 ± 1.17
321.86 ± 0.80
316.21 ± 3.06
315.07 ± 2.08
314.71 ± 1.02
313.86 ± 1.40
315.43 ± 1.67
315.86 ± 1.39
314.79 ± 1.57
314.79 ± 2.10
Instance I_Re_M_120 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_120
0.2N
7.14
7.49
7.90
8.68
9.07
9.09
8.78
8.82
8.60
9.01
8.53
0.4N
10.20
10.60
10.95
12.68
12.74
12.86
13.05
12.96
12.96
12.90
12.88
0.6N
11.47
11.80
12.04
13.31
14.03
13.97
14.03
13.76
13.80
13.74
14.03
0.8N
11.51
11.98
11.88
13.19
14.22
14.09
13.93
14.32
14.32
13.60
13.91
N
11.51
12.02
12.08
13.62
13.93
14.03
14.26
13.83
13.72
14.01
14.01
Instance I_Re_M_150 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_150
0
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
423.64 ± 0.59
0.2N
394.93 ± 0.50
393.21 ± 0.66
392.29 ± 0.95
389.93 ± 0.98
389.14 ± 1.00
389.36 ± 0.75
390.00 ± 1.24
389.07 ± 1.15
389.29 ± 1.20
389.64 ± 1.07
389.29 ± 1.36
0.4N
379.64 ± 0.73
378.00 ± 0.95
376.50 ± 0.93
371.50 ± 2.15
370.93 ± 1.86
372.14 ± 0.96
372.14 ± 1.39
372.71 ± 1.05
371.36 ± 0.75
371.79 ± 1.87
371.21 ± 1.86
0.6N
375.57 ± 0.43
374.29 ± 0.90
372.57 ± 0.65
368.79 ± 1.01
367.14 ± 0.96
368.64 ± 1.30
367.07 ± 1.61
367.64 ± 0.79
367.86 ± 1.75
366.64 ± 1.75
368.93 ± 1.02
0.8N
375.43 ± 0.80
373.79 ± 0.85
372.21 ± 0.98
368.71 ± 1.88
368.14 ± 1.84
367.86 ± 2.30
366.79 ± 1.54
368.36 ± 1.06
367.43 ± 1.84
366.07 ± 2.08
368.07 ± 2.05
N
374.93 ± 0.67
374.00 ± 1.12
372.43 ± 0.80
369.36 ± 1.55
368.07 ± 1.32
367.43 ± 1.67
367.07 ± 2.13
366.86 ± 1.95
367.93 ± 2.03
367.21 ± 2.25
367.79 ± 2.01
Instance I_Re_M_150 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_150
0.2N
6.78
7.18
7.40
7.96
8.14
8.09
7.94
8.16
8.11
8.03
8.11
0.4N
10.39
10.77
11.13
12.31
12.44
12.16
12.16
12.02
12.34
12.24
12.38
0.6N
11.35
11.65
12.06
12.95
13.34
12.98
13.35
13.22
13.17
13.45
12.92
0.8N
11.38
11.77
12.14
12.97
13.10
13.17
13.42
13.05
13.27
13.59
13.12
N
11.50
11.72
12.09
12.81
13.12
13.27
13.35
13.40
13.15
13.32
13.18
Instance I_Re_M_170 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_170
0
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
456.86 ± 0.65
0.2N
430.07 ± 0.87
428.93 ± 1.16
426.50 ± 0.98
423.71 ± 2.28
424.64 ± 1.47
425.07 ± 1.26
424.79 ± 0.85
423.50 ± 1.93
424.86 ± 1.68
424.43 ± 1.19
424.93 ± 1.33
0.4N
418.21 ± 1.33
415.57 ± 1.39
412.29 ± 2.07
406.71 ± 2.79
407.79 ± 2.18
407.64 ± 2.43
408.71 ± 1.39
408.36 ± 3.38
408.71 ± 2.87
407.43 ± 3.38
408.86 ± 2.29
0.6N
414.07 ± 1.20
412.57 ± 0.91
410.29 ± 1.64
404.50 ± 2.48
402.64 ± 2.28
403.64 ± 1.70
402.57 ± 1.36
402.71 ± 1.49
403.29 ± 1.36
403.43 ± 2.02
402.29 ± 2.53
0.8N
414.14 ± 0.89
412.21 ± 0.67
409.64 ± 1.67
403.14 ± 2.22
402.50 ± 1.29
402.64 ± 2.07
402.79 ± 1.85
402.64 ± 1.75
402.50 ± 2.03
403.86 ± 2.19
402.71 ± 1.94
N
414.07 ± 0.79
412.64 ± 1.11
408.71 ± 1.91
403.21 ± 2.03
402.71 ± 1.96
403.14 ± 2.29
402.71 ± 1.65
404.21 ± 2.22
403.21 ± 1.33
403.07 ± 1.94
402.71 ± 1.77
Instance I_Re_M_170 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_170
0.2N
5.86
6.11
6.64
7.25
7.05
6.96
7.02
7.30
7.00
7.10
6.99
0.4N
8.46
9.04
9.76
10.98
10.74
10.77
10.54
10.62
10.54
10.82
10.51
0.6N
9.37
9.69
10.19
11.46
11.87
11.65
11.88
11.85
11.73
11.69
11.94
0.8N
9.35
9.77
10.33
11.76
11.90
11.87
11.84
11.87
11.90
11.60
11.85
N
9.37
9.68
10.54
11.74
11.85
11.76
11.85
11.52
11.74
11.77
11.85
Instance I_Re_M_200 - Fitness Values Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_200
0
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
508.07 ± 0.85
0.2N
472.79 ± 0.75
471.14 ± 1.47
467.86 ± 1.75
466.07 ± 1.25
466.57 ± 1.91
467.00 ± 1.53
467.00 ± 1.23
466.14 ± 1.12
466.43 ± 2.02
467.71 ± 1.39
465.71 ± 1.84
0.4N
455.36 ± 1.12
454.07 ± 1.20
450.14 ± 2.02
443.64 ± 1.64
443.79 ± 1.66
443.43 ± 2.21
443.64 ± 2.38
443.43 ± 2.21
443.21 ± 1.57
443.86 ± 2.12
442.79 ± 1.93
0.6N
450.71 ± 0.71
448.64 ± 1.17
443.86 ± 1.97
438.07 ± 1.32
438.93 ± 2.12
438.07 ± 1.32
438.50 ± 2.31
437.71 ± 1.27
438.50 ± 1.37
438.50 ± 2.13
438.14 ± 2.05
0.8N
450.43 ± 0.35
448.71 ± 1.19
444.29 ± 1.20
438.14 ± 1.54
438.29 ± 1.16
438.29 ± 1.47
437.07 ± 1.33
438.00 ± 1.59
437.71 ± 1.27
438.36 ± 2.79
437.64 ± 1.32
N
450.79 ± 0.93
447.43 ± 0.73
445.07 ± 1.73
438.36 ± 1.66
437.50 ± 1.90
438.50 ± 2.76
437.71 ± 1.68
438.71 ± 2.16
438.14 ± 2.05
437.50 ± 1.70
438.86 ± 2.33
Instance I_Re_M_200 - Reduction Factor Results
Instance
0
0.1N
0.2N
0.3N
0.4N
0.5N
0.6N
0.7N
0.8N
0.9N
N
I_Re_M_200
0.2N
6.95
7.27
7.92
8.27
8.17
8.08
8.08
8.25
8.20
7.94
8.34
0.4N
10.38
10.63
11.40
12.68
12.65
12.72
12.68
12.72
12.77
12.64
12.85
0.6N
11.29
11.70
12.64
13.78
13.61
13.78
13.69
13.85
13.69
13.69
13.76
0.8N
11.35
11.68
12.55
13.76
13.74
13.74
13.97
13.79
13.85
13.72
13.86
N
11.28
11.94
12.40
13.72
13.89
13.69
13.85
13.65
13.76
13.89
13.62