Journal of Optimization

Research Article

An Analysis of Robustness Approaches for the Airport Baggage Sorting Station Assignment Problem

Table 11

Conflicts statistical significance for combined robustness approaches for Terminal 1 with algorithm SSEA1, operator MEFNR3, and population size of 2,000 for perturbations of  min average and  min deviation, Mann-Whitney test, and significance level of 0.05.
Approach H091216H100301
Max. 17 (9, 5, 3)Max. 17 (6, 6, 5)
3-pier4-pier3-pier4-pier
0.008 × ARS + 10 × UESRS (Exp 0.03) 3 (1, 2, 0)5 (0, , 2)4 (0, 1, 3)3 (0, 2, 1)
0.008 × ARS + 10 × UESRS (Inverse 6) 1 (0, 0, 1)4 (0, 1, )3 (0, 1, 2) (0, 1, )
0.008 × ARS + 7.2 × UESRS (Inverse 6) 3 (0, 2, 1)0 (0, 0, 0)1 (0, 0, 1)0 (0, 0, 0)
0.008 × BSARS + 10 × UESRS (Exp 0.03) (4, 2, 1) (0, , )3 (0, 0, 3) (3, 2, 1)
0.008 × BSARS + 10 × UESRS (Inverse 6) (1, , )5 (0, 2, ) (0, , ) (0, 2, )
0.008 × BSARS + 7.2 × UESRS (Exp 0.03) 3 (2, 1, 0)2 (2, 0, 0)1 (0, 0, 1)5 (, 1, 0)
0.008 × BSARS + 7.2 × UESRS (Inverse 6) 5 (1, 2, 2)0 (0, 0, 0)2 (0, 1, 1)0 (0, 0, 0)
0.008 × TRS + 0.008 × BSARS 0 (0, 0, 0)2 (2, 0, 0)0 (0, 0, 0)1 (1, 0, 0)
0.008 × TRS + 10 × UESRS (Exp 0.03) 0 (0, 0, 0)2 (0, 0, 2)4 (, 0, 2)1 (0, 0, 1)
0.008 × TRS + 10 × UESRS (Inverse 2) 1 (0, 0, 1)0 (0, 0, 0)1 (0, 0, 1)0 (0, 0, 0)
0.008 × TRS + 10 × UESRS (Inverse 4) 1 (0, 0, 1)0 (0, 0, 0)2 (0, 0, 2)4 (0, 1, 3)
0.008 × TRS + 10 × UESRS (Inverse 6) 2 (0, 0, 2)1 (0, 0, 1)3 (0, 0, 3)5 (0, 1, 4)
0.008 × TRS + 7.2 × PCBG () 6 (, 0, 0)2 (2, 0, 0)4 (, 2, 0)4 (2, 2, 0)
0.008 × TRS + 7.2 × UESRS (Inverse 4) 1 (0, 0, 1)0 (0, 0, 0)1 (0, 0, 1)0 (0, 0, 0)
0.008 × TRS + 7.2 × UESRS (Inverse 6) 1 (0, 0, 1)0 (0, 0, 0)1 (0, 0, 1)0 (0, 0, 0)
10 × PCBG () 5 (4, 1, 0)5 (, 0, 0)6 (, , 0)5 (2, , 0)
7.2 × PCBG () 0 (0, 0, 0)0 (0, 0, 0)1 (0, 1, 0)3 (1, 2, 0)