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The capacitated multi-facility location–allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms

Author

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  • Seyed Mousavi
  • Seyed Niaki
  • Esmaeil Mehdizadeh
  • Mohammad Tavarroth

Abstract

A new mathematical model for the capacitated multi-facility location–allocation problem with probabilistic customers' locations and demands is developed in this article. The model is formulated into the frameworks of the expected value model (EVM) and the chance-constrained programming (CCP) based on two different distance measures. In order to solve the model, two hybrid intelligent algorithms are proposed, where the simplex algorithm and stochastic simulation are the bases for both algorithms. However, in the first algorithm, named SSGA, a special type of genetic algorithm is combined and in the second, SSVDO, a vibration-damping optimisation (VDO) algorithm is united. The Taguchi method is employed to tune the parameters of the two proposed algorithms. Finally, some numerical examples are given to illustrate the applications of the proposed methodologies and to compare their performances.

Suggested Citation

  • Seyed Mousavi & Seyed Niaki & Esmaeil Mehdizadeh & Mohammad Tavarroth, 2013. "The capacitated multi-facility location–allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1897-1912.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1897-1912
    DOI: 10.1080/00207721.2012.670301
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    Cited by:

    1. Qingwei Li & Alex Savachkin, 2016. "Reliable distribution networks design with nonlinear fortification function," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 805-813, March.
    2. Mohammad Alaghebandha & Vahid Hajipour, 2015. "A soft computing-based approach to optimise queuing-inventory control problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1113-1130, April.
    3. Mahmoud Golabi & Seyed Mahdi Shavarani & Gokhan Izbirak, 2017. "An edge-based stochastic facility location problem in UAV-supported humanitarian relief logistics: a case study of Tehran earthquake," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(3), pages 1545-1565, July.
    4. Mahdi Bashiri & Zeinab Rasoulinejad & Ehsan Fallahzade, 2016. "A new approach on auxiliary vehicle assignment in capacitated location routing problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 886-902, March.

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