Research Article

A Multimodal Passenger-and-Package Sharing Network for Urban Logistics

Table 3

Comparison of results and computation times of the algorithms.

Scale of the problemExact algorithm in CPLEXModified GA
Computation time (min)Best solutionGap (%)Computation time (min)Best solution

(40, 28, 5)8.683,1390.026.783,139
(40, 28, 15)15.4159,7120.046.6159,712
(70, 30, 8)201.5358,1490.0183.9358,656
(70, 40, 14)1,440.0378,6733.1892.4374,123
(100, 30, 15)1,440.0818,4805.61,056.1782,291
(100, 75, 15)1,440.0700,52714.81,440.0670,920
(110, 30, 15)1,440.0901,69020.51,440.0858,458
(110, 80, 20)1,440.0n.f.s.p.9.01,440.0781,913
(127, 94, 15)1,440.0n.f.s.p.23.31,440.0973,549
(127, 94, 20)1,440.0n.f.s.p.13.41,440.0977,518

The upper time limit, i.e., 24 hours; n.f.s.p.: no feasible solution provided.