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Location and allocation based branch and bound algorithms for the capacitated multi-facility Weber problem

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  • M. Akyüz
  • İ. Altınel
  • Temel Öncan

Abstract

Given the locations of J customers, their demands and I capacitated facilities, the Capacitated Multi-facility Weber Problem (CMWP) is concerned with locating I facilities in the plane to satisfy the demand of J customers with the minimum total transportation cost which is proportional to the distance between them. We propose two types of branch and bound algorithms for the ℓ r distance CMWP with 1≤r>∞. One of them is an allocation space based branch and bound algorithm for which a new branching variable selection strategy and new lower bounding procedures have been proposed. The other one is new and partitions the location space. Based on extensive computational experiments we can say that the proposed algorithms are promising and perform better than the existing ones. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • M. Akyüz & İ. Altınel & Temel Öncan, 2014. "Location and allocation based branch and bound algorithms for the capacitated multi-facility Weber problem," Annals of Operations Research, Springer, vol. 222(1), pages 45-71, November.
    • Handle: RePEc:spr:annopr:v:222:y:2014:i:1:p:45-71:10.1007/s10479-012-1221-3
    DOI: 10.1007/s10479-012-1221-3
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    References listed on IDEAS

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