Research Article

A Modified Priority-Based Encoding for Design of a Closed-Loop Supply Chain Network Using a Discrete League Championship Algorithm

Table 6

The average of the objective values for each sample problem instance.

Scale of the problem Problem instance CPLEX PB1 PB2 PB3

Small 1 5216131.55 5216258.95 5216878.01 5216131.55
2 6537367.23 6537605.34 6538131.72 6537367.23
3 7709177.89 7709634.54 7710523.47 7709177.89
4 9378103.61 9378752.72 9379025.74 9378103.61
5 11611170.7 11612119.3 11612637.7 11611172.3
6 12217294.9 12219232.9 12218828.6 12217296.1
7 14546224.7 14547451.7 14547694.5 14546227.6

Medium 8 15642700.4 15645397.6 15644410.2 15642705.3
9 16394986.2 16411886.8 16408650.5 16395010.8
10 18192348.5 18209196.2 18199012.0 18192397.3
11 19613086.9 19800951.6 19628863.7 19613153.8
12 22984000.0 23693969.4 23485221.2 22984540.7
13 25164851.6 26212668.5 26139382.5 25165442.0
14 32156898.7 34013530.3 33511564.3 32157659.6