Computational Optimization and Applications

, Volume 59, Issue 1–2, pp 185–200 | Cite as

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

  • Edward Hult
  • Houyuan Jiang
  • Daniel Ralph


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.


Hub location Center problem Stochastic programming Variable reduction Separation algorithm 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.EF Education FirstCambridgeUSA
  2. 2.Judge Business SchoolUniversity of CambridgeCambridgeUK

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