Modified Backtracking Search Optimization Algorithm Inspired by Simulated Annealing for Constrained Engineering Optimization Problems
Table 7
Comparison of the best values and FEs obtained by BSAISA and other algorithms.
Alg.
BSAISA
SR
FSA
CDE
AMA
MABC
RPGA
BSA-SA
Fun.
Best (FEs)
Best (FEs)
Best (FEs)
Best (FEs)
Best (FEs)
Best (FEs)
Best (FEs)
Best (FEs)
G01
−15
−15.000
−14.993316
−15.000000
−15.000
−15.000
−15.000
−15.000000
(84,630)
(148,200)
(205,748)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G02
−0.8036
−0.8035
−0.7549
−0.8036
−0.8035
−0.8036
−0.8036
−0.8036
(349,500)
(217,200)
(227,832)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G03
−1.000498
−1.000
−1.0000015
−0.995413
−1.000
−1.000
−1.000
−1.000498
(58,560)
(229,200)
(314,938)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G04
−30665.539
−30665.539
−30665.538
−30665.539
−30665.538
−30665.539
−30665.539
−30665.539
(121,650)
(88,200)
(86,154)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G05
5126.497
5126.497
5126.4981
5126.571
5126.512
5126.487
5126.544
5126.497
(238,410)
(51,600)
(47,661)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G06
−6961.814
−6961.814
−6961.814
−6961.814
−6961.807
−6961.814
−6961.814
−6961.814
(89,550)
(118,000)
(44,538)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G07
24.307
24.307
24.311
24.306
24.315
24.324
24.333
24.306
(15,060)
(143,000)
(404,501)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G08
−0.095825
−0.095825
−0.095825
−0.095825
−0.095825
−0.095825
−0.095825
−0.095825
(30,930)
(76,200)
(56,476)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G09
680.630057
680.630
680.63008
680.630057
680.645
680.631
680.631
680.6301
(347,760)
(111,400)
(324,569)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G10
7049.249
7054.316
7059.864
7049.248
7281.957
7058.823
7049.861
7049.278
(346,980)
(128,400)
(243,520)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G11
0.749900
0.750
0.749999
0.749900
0.750
0.750
0.749
0.749900
(87,870)
(11,400)
(23,722)
(100,100)
(350,000)
(350,000)
(350,000)
(350,000)
G12
−1
−1.000000
−1.000000
−1.000000
−1.000
−1.000
NA
−1.000000
(5430)
(16,400)
(59,355)
(100,100)
(350,000)
(350,000)
(350,000)
G13
0.0539415
0.053957
0.0539498
0.056180
0.053947
0.757
NA
0.0539415
(349,800)
(69,800)
(120,268)
(100,100)
(350,000)
(350,000)
(350,000)
Nu.
RK
1
5
7
2
8
4
6
3
Note. “NA” means not available. The same as Tables 8, 10, 11, 12, 13, 14, 15, and 17. “RK” represents the comprehensive ranking of each algorithm on the set of benchmarks. “Nu.” represents the sum of the number of winners and the number of the optimal function values for each algorithm on the set of benchmarks.