Intelligent Optimization Algorithms: A Stochastic Closed-Loop Supply Chain Network Problem Involving Oligopolistic Competition for Multiproducts and Their Product Flow Routings
Table 2
Comparison of the optimal strategies obtained by the Euler algorithm with the optimal strategies obtained by PSO algorithm and GA in the reverse logistics of Example 1.
PSO
GA
Euler
Mean
Stdev.
Mean
Stdev.
Firm 1
Optimal percentage of product 1 returning from demand market to firm 1 via recovery center
0.5014
0.0289
0.5036
0.0187
0.5000
0.5240
0.0243
0.5545
0.0121
0.5937
0.6922
0.0339
0.6201
0.0172
0.6875
Optimal percentage of product 2 returning from demand market to firm 1 via recovery center
0.4938
0.0313
0.5258
0.0183
0.5000
0.6306
0.0212
0.6133
0.0253
0.6250
0.7990
0.0300
0.7686
0.0242
0.7500
Firm 2
Optimal percentage of product 1 returning from demand market to firm 2 via recovery center
0.4124
0.0281
0.4216
0.0161
0.4063
0.5515
0.0162
0.5235
0.0103
0.5000
0.5958
0.0331
0.5309
0.0090
0.5937
Optimal percentage of product 2 returning from demand market to firm 2 via recovery center
0.3626
0.0235
0.3118
0.0213
0.3750
0.5039
0.0339
0.5100
0.0159
0.5000
0.6709
0.0338
0.6086
0.0219
0.6250
Firm 3
Optimal percentage of product 1 returning from demand market to firm 3 via recovery center
0.3098
0.0296
0.3770
0.0175
0.3125
0.3992
0.0285
0.4551
0.0108
0.4063
0.5000
0.0237
0.5092
0.0122
0.5000
Optimal percentage of product 2 returning from demand market to firm 3 via recovery center
0.2012
0.0236
0.2647
0.0182
0.2500
0.3534
0.0321
0.3434
0.0156
0.3750
0.5028
0.0258
0.5078
0.0154
0.5000
Firm 4
Optimal percentage of product 1 returning from demand market to firm 4 via recovery center
0.2128
0.0170
0.2099
0.0186
0.2188
0.3749
0.0231
0.3623
0.0199
0.3125
0.4598
0.0315
0.4481
0.0100
0.4063
Optimal percentage of product 2 returning from demand market to firm 4 via recovery center
0.1238
0.0317
0.1118
0.0317
0.1250
0.2219
0.0224
0.2399
0.0133
0.2500
0.3221
0.0224
0.3182
0.0182
0.3750
Note: optimal percentage of product returning from demand market to firm via recovery center − optimal percentage of product returning from demand market to firm via recovery center (, , and ).
