Research Article

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
MeanStdev. MeanStdev.

Firm 1Optimal 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 128.3783 0.3691 29.36750.2781
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 220.6338 0.3454 20.82590.2688

Firm 2Optimal 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 127.0000 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 20.59140.5499

Firm 3Optimal 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 126.3238 0.3406 26.11930.7190
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 219.4547 0.3097 19.36870.1064

Firm 4Optimal 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 126.1646 0.5159 25.71090.7179
Optimal quantity of product 2 supplied by firm 4 to demand market 10.5663 0.3677 11.0721 0.6788
10.0228 0.3526 10.3900 0.6832
10.7935 0.3971 11.1403 0.8083
Optimal quantity of new manufactured product 2 19.3827 0.2282 19.60670.7179