Exact computational approaches to a stochastic uncapacitated single allocation p-hub center problem

Edward Hult (), Houyuan Jiang () and Daniel Ralph ()

Computational Optimization and Applications, 2014, vol. 59, issue 1, 185-200

Abstract: The stochastic uncapacitated single allocation p-hub center problem is an extension of the deterministic version which aims to minimize the longest origin-destination path in a hub and spoke network. Considering the stochastic nature of travel times on links is important when designing a network to guarantee the quality of service measured by a maximum delivery time for a proportion of all deliveries. We propose an efficient reformulation for a stochastic p-hub center problem and develop exact solution approaches based on variable reduction and a separation algorithm. We report numerical results to show effectiveness of our new reformulations and approaches by finding global solutions of small-medium sized problems. The combination of model reformulation and a separation algorithm is particularly noteworthy in terms of computational speed. Copyright Springer Science+Business Media New York 2014

Keywords: Hub location; Center problem; Stochastic programming; Variable reduction; Separation algorithm (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10589-013-9629-5

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