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

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  • Edward Hult
  • Houyuan Jiang
  • Daniel Ralph

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

Suggested Citation

  • Edward Hult & Houyuan Jiang & Daniel Ralph, 2014. "Exact computational approaches to a stochastic uncapacitated single allocation p-hub center problem," Computational Optimization and Applications, Springer, vol. 59(1), pages 185-200, October.
    • Handle: RePEc:spr:coopap:v:59:y:2014:i:1:p:185-200
    DOI: 10.1007/s10589-013-9629-5
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    Cited by:

    1. A. Ghodratnama & H. R. Arbabi & A. Azaron, 2020. "A bi˗objective hub location-allocation model considering congestion," Operational Research, Springer, vol. 20(4), pages 2427-2466, December.
    2. Yue Zhao & Zhi Chen & Zhenzhen Zhang, 2023. "Distributionally Robust Chance-Constrained p -Hub Center Problem," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1361-1382, November.
    3. Zhongfeng Qin & Yuan Gao, 2017. "Uncapacitated $$p$$ p -hub location problem with fixed costs and uncertain flows," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 705-716, March.
    4. Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.

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