A genetic algorithm for the uncapacitated single allocation planar hub location problem. (October 2015)

• Record Type: Journal Article
• Authors: Damgacioglu, Haluk; Dinler, Derya; Evin Ozdemirel, Nur; Iyigun, Cem
• Is Part Of: Computers & operations research. Volume 62(2015)
• Page Start: 224
• Page End: 236
• Publication Date: 2015-10
• Subjects: Genetic algorithms -- Hub location problems -- Planar hub location problems; Operations research -- Periodicals; Electronic digital computers -- Periodicals; 004.05
• DOI: 10.1016/j.cor.2014.09.003
• Languages: English
• ISSNs: 0305-0548

Abstract

Abstract: Given a set of n interacting points in a network, the hub location problem determines location of the hubs (transfer points) and assigns spokes (origin and destination points) to hubs so as to minimize the total transportation cost. In this study, we deal with the uncapacitated single allocation planar hub location problem (PHLP). In this problem, all flow between pairs of spokes goes through hubs, capacities of hubs are infinite, they can be located anywhere on the plane and are fully connected, and each spoke must be assigned to only one hub. We propose a mathematical formulation and a genetic algorithm (PHLGA) to solve PHLP in reasonable time. We test PHLGA on simulated and real life data sets. We compare our results with optimal solution and analyze results for special cases of PHLP for which the solution behavior can be predicted. Moreover, PHLGA results for the AP and CAB data set are compared with other heuristics.