Research Article

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

Table 2

Results for the medium size instances.

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

a-10.09%4.89%2.070.00%4.44%1.040.09%5.04%0.93
a-20.00%6.51%2.080.00%5.59%1.110.00%6.86%1.00
a-30.04%4.72%2.080.00%4.22%1.100.00%4.93%0.98
a-40.00%5.48%2.070.00%5.02%1.070.00%5.57%1.00
b-10.00%5.68%2.060.00%5.76%1.080.00%6.08%1.00
b-20.10%3.70%2.070.00%3.10%1.120.00%4.72%1.08
b-30.00%5.06%2.070.00%4.52%1.100.49%5.57%1.02
b-40.00%4.80%2.040.02%4.45%1.020.52%5.06%0.98
c-10.26%2.95%2.030.26%2.54%1.100.26%2.96%1.04
c-20.25%3.46%2.040.00%3.12%1.100.00%3.92%1.04
c-30.00%3.71%2.010.00%3.52%1.060.00%3.91%1.00
c-40.00%3.03%2.040.00%2.72%1.050.00%3.14%0.99