A genetic algorithm for the uncapacitated single allocation planar hub location problem

作者：Damgacioglu Haluk^*; Dinler Derya; Ozdemirel Nur Evin; Iyigun Cem

来源：Computers & Operations Research, 2015, 62: 224-236.

DOI：10.1016/j.cor.2014.09.003

• Genetic algorithms
• Hub location problems
• Planar hub location problems

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.

• 出版日期2015-10