Genetic algorithm-based optimization approach for an uncapacitated single allocation P-hub center problem with more realistic cost structure

A p-hub center network design problem consists of some nodes as hubs and allocation of non-hub nodes to them wherein the maximum travel times between any pair of nodes is minimized. the distinctive feature of this study is proposing a new mathematical formulation for modeling costs in a p-hub center problem. here, instead of considering costs as a linear function of distance, for the first time, we formulate costs as a summation of different parts: fixed cost, health, safety and environment (hse) cost, energy cost and personnel cost. such integrated model results in a hard-tosolve nonlinear formulation. to validate the proposed model, a small scale problem instance of cab dataset solved by lingo software. we also prepared a genetic algorithm (ga) by matlab software to solve complete problems of cab and ap datasets.