Research Article

Analyzing the Performance of a Hybrid Heuristic for Solving a Bilevel Location Problem under Different Approaches to Tackle the Lower Level

Table 3

Results for the large size instances.

InstanceEAEA+PREA+PRw
Best gapAverage gapTime (sec)Best gapAverage gapTime (sec)Best gapAverage gapTime (sec)

a-10.00%9.76%3.550.00%8.89%2.070.00%9.89%1.84
a-20.00%6.94%3.490.00%6.30%2.020.00%7.12%1.77
a-30.00%7.23%3.480.00%6.25%2.090.00%7.23%1.86
a-40.00%5.85%3.610.00%5.08%2.110.00%5.72%1.85
b-10.77%5.39%3.670.77%4.72%2.350.87%6.09%2.09
b-21.01%4.71%3.650.29%4.00%2.160.63%5.29%2.05
b-30.00%4.37%3.650.00%4.07%2.130.86%4.48%2.00
b-40.00%6.47%3.710.00%5.88%2.251.14%6.74%2.08
c-10.00%4.04%3.690.00%3.65%2.220.00%4.21%2.00
c-20.00%3.82%3.650.00%4.17%2.280.00%4.62%2.05
c-30.00%4.53%3.610.00%4.05%2.120.00%4.91%2.00
c-40.00%4.67%3.690.00%4.35%2.250.00%5.14%2.05