Research Article

Adaptive Black Hole Algorithm for Solving the Set Covering Problem

Table 10

Sampling phase: hardest instances for groups C, D, NRE, NRF, BRG, and NRH.

Hardest instances Transfer functions Discretization methods
ID Optimum values Standard Complement Static probability Elitist

B.57275757374
73747572
75747473
75737274
73737475
74727274
74747275
75747275

C.5215217215216216
217217218218
216216218217
215218217217
216216218217
215216217216
216217215216
216218215217

D.56161616163
62616364
64636463
64616362
61616164
63626464
61636262
62636262

NRE.52830293130
29312831
31283028
28312828
30313129
29292928
29302828
31303028

NRF.51314151514
15161414
16131415
14161415
16141616
15161514
13161414
13141513

NRG.5168170171169171
170171171171
169168168169
170171171169
168169171169
170169170171
170171171168
171169170169

NRH.55558575856
56585855
58565757
57575557
58575855
55555657
55585658
56565656