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A conditional β -mean approach to risk-averse stochastic multiple allocation hub location problems

2022; Elsevier BV; Volume: 158; Linguagem: Inglês

10.1016/j.tre.2021.102602

1878-5794

Nader Ghaffarinasab, Bahar Y. Kara,

Optimization and Mathematical Programming

This paper addresses risk-averse stochastic hub location problems where the risk is measured using the conditional β-mean criterion. Three variants of the classical multiple allocation hub location problem, namely the p-hub median, the p-hub maximal covering, and the weighted p-hub center problems are studied under demand data uncertainty represented by a finite set of scenarios. Novel mixed-integer linear programming formulations are proposed for the problems and exact algorithms based on Benders decomposition are developed for solving large instances of the problems. A large set of computational tests are conducted so that the efficiency of the proposed algorithms is proved and the effect of various input parameters on the optimal solutions is analyzed.