Intelligent Optimization Algorithms: A Stochastic Closed-Loop Supply Chain Network Problem Involving Oligopolistic Competition for Multiproducts and Their Product Flow Routings
Table 1
Comparison of the optimal strategies obtained by the Euler algorithm with the optimal strategies obtained by PSO algorithm and GA in the forward logistics of Example 1.
PSO
GA
Euler
Mean
Stdev.
Mean
Stdev.
Firm 1
Optimal quantity of product 1 supplied by firm 1 to demand market
15.4812
0.1763
15.2751
0.3265
15.2807
15.3944
0.2543
15.8214
0.3163
15.4540
15.1247
0.3744
14.9799
0.5525
15.2798
Optimal quantity of new manufactured product 1
34.0004
0.2496
34.0874
0.0301
34.0124
Optimal quantity of product 2 supplied by firm 1 to demand market
11.8935
0.2569
11.2828
0.7107
12.0464
11.6125
0.3073
12.3592
0.5675
12.1290
12.5527
0.3890
12.5719
0.7039
12.0301
Optimal quantity of new manufactured product 2
24.0588
0.4450
24.2513
0.0708
24.2025
Firm 2
Optimal quantity of product 1 supplied by firm 2 to demand market
14.8362
0.4743
14.4733
0.3827
15.0069
14.4819
0.5303
14.7227
0.2718
15.0784
14.8862
0.3080
14.9882
0.2961
14.8107
Optimal quantity of new manufactured product 1
32.2042
0.2463
32.1870
0.0825
32.8937
Optimal quantity of product 2 supplied by firm 2 to demand market
11.8696
0.2370
11.4820
0.7778
11.8671
11.6569
0.2564
11.9422
0.4798
11.8944
11.4962
0.3879
11.7069
0.8136
11.7576
Optimal quantity of new manufactured product 2
23.0228
0.3726
23.3518
0.2146
23.5153
Firm 3
Optimal quantity of product 1 supplied by firm 3 to demand market
15.2002
0.3042
14.7245
0.6152
14.5303
13.6609
0.5233
14.3239
0.7908
14.5972
14.1390
0.3938
14.5945
0.8268
14.3372
Optimal quantity of new manufactured product 1
31.0001
0.1009
31.6438
0.4290
31.4625
Optimal quantity of product 2 supplied by firm 3 to demand market
11.7620
0.3609
10.7958
0.4134
11.5539
11.9596
0.3486
11.8798
0.4157
11.5755
11.5913
0.3544
11.4596
0.7349
11.4546
Optimal quantity of new manufactured product 2
23.3130
0.4206
22.1509
0.0989
22.5796
Firm 4
Optimal quantity of product 1 supplied by firm 4 to demand market
13.7444
0.3978
13.5301
0.4678
14.1712
14.1173
0.2761
14.1522
0.8036
14.1888
14.2150
0.4706
13.7095
0.7046
14.0771
Optimal quantity of new manufactured product 1
30.0767
0.5645
30.4098
0.1273
30.4346
Optimal quantity of product 2 supplied by firm 4 to demand market
