A Bee Evolutionary Guiding Nondominated Sorting Genetic Algorithm II for Multiobjective Flexible Job-Shop Scheduling
Table 4
Results on Experiment 2.
Problem ()
MOGA
BEG-NSGA-II
01a ()
2,568
2,505
11,137
2.04
2,568
2,505
11,137
1.91
2,572
2,568
11,137
2,572
2,568
11,137
2,594
2,554
11,137
2,594
2,554
11,137
02a ()
2,289
2,263
11,137
2.56
2,487
2,237
11,137
2.13
2,313
2,238
11,137
3,014
2,234
11,137
2,564
2,236
11,137
03a ()
2,287
2,248
11,137
2.90
2,492
2,247
11,137
2.5
2,256
2,252
11,137
2,516
2,234
11,137
04a ()
2,550
2,503
11,090
2.07
2,882
2,572
11,069
2.03
2,569
2,565
11,076
2,912
2,552
11,070
2,579
2,552
11,080
2,904
2,626
11,067
3,095
2,727
11,064
3,019
2,665
11,066
2,997
2,523
11,073
2,933
2,688
11,065
2,953
2,668
11,066
2,938
2,606
11,068
2,955
2,503
11,074
05a ()
2,292
2,252
11,077
2.37
2,740
2,250
10,981
2.12
2,293
2,242
11,091
2,846
2,212
10,986
2,297
2,255
11,054
2,747
2,229
10,988
2,315
2,272
11,063
2,700
2,255
10,977
2,343
2,298
11,050
2,915
2,231
10,981
2,358
2,322
11,038
2,818
2,208
10,990
2,376
2,243
11,022
2,787
2,350
10,970
2,904
2,620
10,941
2,759
2,320
10,971
2,945
2,571
10,941
2,667
2,237
10,983
3,056
2,507
10,941
2,686
2,277
10,974
2,641
2,332
10,974
2,687
2,221
11,000
2,779
2,237
10,981
2,707
2,299
10,972
2,702
2,233
10,989
06a ()
2,250
2,233
11,009
3.09
2,673
2,194
10,893
2.86
2,254
2,223
10,994
2,716
2,194
10,891
2,398
2,219
10,973
2,683
2,245
10,890
2,437
2,280
10,988
2,666
2,248
10,893
2,744
2,448
10,850
2,679
2,229
10,892
2,902
2,439
10,847
2,816
2,186
10,903
2,967
2,840
10,839
2,898
2,186
10,899
2,713
2,234
10,889
2,758
2,209
10,890
2,722
2,229
10,890
07a ()
2,450
2,413
16,485
7.63
2,927
2,187
16,485
6.21
2,457
2,299
16,485
2,910
2,213
16,485
2,484
2,289
16,485
2,889
2,264
16,485
2,891
2,219
16,485
2,922
2,190
16,485
08a ()
2,187
2,102
16,485
8.27
2,621
2,091
16,485
6.35
2,171
2,104
16,485
2,770
2,089
16,485
2,780
2,080
16,485
09a ()
2,157
2,113
16,485
10.16
2,442
2,103
16,485
7.26
2,144
2,119
16,485
2,470
2,074
16,485
2,158
2,102
16,485
2,455
2,081
16,485
10a ()
2,461
2,433
16,505
7.55
2,998
2,317
16,487
6.43
2,470
2,310
16,537
3,036
2,363
16,482
2,478
2,330
16,533
3,091
2,491
16,473
2,482
2,360
16,499
2,984
2,319
16,486
2,501
2,265
16,547
3,052
2,377
16,477
2,501
2,312
16,528
3,098
2,491
16,472
2,547
2,476
16,490
3,013
2,293
16,487
3,064
2,734
16,464
3,136
2,457
16,471
3,025
2,377
16,480
3,041
2,351
16,481
2,980
2,258
16,494
3,021
2,319
16,484
11a ()
2,182
2,170
16,449
10.14
2,551
2,116
16,229
7.25
2,202
2,114
16,476
2,599
2,131
16,224
2,210
2,113
16,442
2,612
2,146
16,222
2,337
2,185
16,377
2,573
2,058
16,231
2,874
2,389
16,247
2,753
2,186
16,217
2,894
2,330
16,247
2,628
2,102
16,224
2,962
2,312
16,247
2,702
2,098
16,223
2,658
2,089
16,224
2,555
2,111
16,229
2,664
2,063
16,228
12a ()
2,161
2,107
16,295
11.92
2,624
2,049
16,055
8.22
2,168
2,130
16,220
2,620
2,022
16,068
2,191
2,084
16,355
2,587
2,035
16,065
2,210
2,103
16,331
2,614
2,057
16,051
2,315
2,125
16,292
2,585
2,043
16,061
2,366
2,105
16,237
2,659
2,038
16,055
2,493
2,297
16,124
2,617
2,024
16,065
2,631
2,309
16,112
2,575
2,057
16,057
2,637
2,303
16,113
2,587
2,050
16,059
2,683
2,397
16,104
2,582
2,098
16,052
13a ()
2,595
2,036
16,059
2,566
2,044
16,061
2,408
2,326
21,610
23.99
2,894
2,277
21,610
10.27
2,928
2,233
21,610
2,896
2,244
21,610
2,877
2,282
21,610
14a ()
2,340
2,251
21,610
29.05
2,649
2,186
21,610
12.39
2,334
2,258
21,610
2,664
2,183
21,610
2,641
2,207
21,610
2,738
2,182
21,610
15a ()
2,285
2,247
21,610
33.29
2,627
2,216
21,610
13.60
2,287
2,218
21,610
2,681
2,196
21,610
2,645
2,215
21,610
2,652
2,201
21,610
2,668
2,197
21,610
2,682
2,178
21,610
16a ()
2,447
2,354
21,602
21.52
2,965
2,279
21,534
11.48
2,450
2,380
21,590
3,158
2,303
21,504
2,487
2,454
21,584
3,184
2,400
21,490
2,492
2,417
21,576
3,039
2,279
21,523
2,540
2,396
21,547
3,050
2,318
21,507
2,550
2,492
21,545
3,071
2,286
21,513
2,568
2,428
21,540
3,275
2,281
21,511
3,013
2,588
21,478
3,105
2,352
21,496
3,106
2,548
21,478
3,175
2,344
21,497
3,180
2,293
21,507
3,130
2,312
21,503
3,034
2,352
21,503
17a ()
2,322
2,240
21,433
28.47
2,806
2,195
21,096
13.92
2,322
2,280
21,362
2,750
2,165
21,120
2,323
2,238
21,454
2,791
2,141
21,114
2,343
2,224
21,420
2,716
2,157
21,129
2,480
2,285
21,344
2,849
2,148
21,107
2,528
2,231
21,313
2,769
2,166
21,111
2,789
2,448
21,198
2,856
2,183
21,098
2,808
2,303
21,200
2,773
2,145
21,111
2,816
2,370
21,197
2,856
2,142
21,105
2,803
2,203
21,094
2,759
2,186
21,106
2,789
2,176
21,101
2,772
2,202
21,101
18a ()
2,267
2,235
21,483
33.01
2,634
2,156
21,005
16.23
2,269
2,206
21,408
2,642
2,126
21,006
2,320
2,208
21,354
2,638
2,185
20,999
2,437
2,221
21,311
2,638
2,148
21,002
2,531
2,310
21,285
2,674
2,148
21,000
2,545
2,305
21,282
2,644
2,145
21,002
2,651
2,140
21,005
2,641
2,157
21,000
2,664
2,145
21,001
2,621
2,181
21,002
2,659
2,140
21,003
2,661
2,137
21,004
2,651
2,181
20,999
2,669
2,126
21,005
2,708
2,125
21,009
The CPU time on a PC with 2 GHz CPU and 2 GB of RAM memory in C++. The CPU time on an Intel Core i3, 2.67 GHz processor with 4 GB RAM in MATLAB R2014a.