Intelligent Optimization Algorithms: A Stochastic Closed-Loop Supply Chain Network Problem Involving Oligopolistic Competition for Multiproducts and Their Product Flow Routings
Table 3
Comparison of the optimal strategies obtained by PSO algorithm and GA in the forward logistics of Example 2.
PSO
GA
Mean
Stdev.
Mean
Stdev.
Firm 1
Optimal quantity of product 1 supplied by firm 1 to demand market
13.0209
0.3023
14.4351
0.7513
14.0660
0.3063
13.3885
0.4320
13.2913
0.2571
13.5359
0.6898
Optimal quantity of new manufactured product 1
28.3783
0.3691
29.3675
0.2781
Optimal quantity of product 2 supplied by firm 1 to demand market
10.6559
0.2370
10.6977
0.5947
10.1936
0.3070
11.1715
0.7511
11.7843
0.3214
10.9480
0.3460
Optimal quantity of new manufactured product 2
20.6338
0.3454
20.8259
0.2688
Firm 2
Optimal quantity of product 1 supplied by firm 2 to demand market
13.0987
0.1915
12.7234
0.6973
12.9814
0.2434
13.7705
0.0993
12.9200
0.2846
13.5463
0.2621
Optimal quantity of new manufactured product 1
27.0000
0.4155
28.0405
0.6897
Optimal quantity of product 2 supplied by firm 2 to demand market
11.3123
0.3327
9.8867
0.7544
10.6753
0.3787
11.4666
0.9035
10.3289
0.3804
11.2320
0.8300
Optimal quantity of new manufactured product 2
20.3165
0.3663
20.5914
0.5499
Firm 3
Optimal quantity of product 1 supplied by firm 3 to demand market
12.5400
0.4467
12.9380
0.6420
13.0791
0.4328
13.0966
0.8916
12.7047
0.5142
12.0838
0.3959
Optimal quantity of new manufactured product 1
26.3238
0.3406
26.1193
0.7190
Optimal quantity of product 2 supplied by firm 3 to demand market
10.4219
0.4377
10.7817
0.4922
10.4076
0.3780
9.8720
0.3852
10.6253
0.2417
10.7148
0.3356
Optimal quantity of new manufactured product 2
19.4547
0.3097
19.3687
0.1064
Firm 4
Optimal quantity of product 1 supplied by firm 4 to demand market
12.5708
0.3300
11.2457
0.8963
13.3946
0.5604
13.1968
0.4776
12.1992
0.2689
13.2656
0.0695
Optimal quantity of new manufactured product 1
26.1646
0.5159
25.7109
0.7179
Optimal quantity of product 2 supplied by firm 4 to demand market