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On the unified dispersion problem: Efficient formulations and exact algorithms

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  • Lei, Ting L.
  • Church, Richard L.

Abstract

Facility dispersion problems involve placing a number of facilities as far apart from each other as possible. Four different criteria of facility dispersal have been proposed in the literature (Erkut & Neuman, 1991). Despite their formal differences, these four classic dispersion objectives can be expressed in a unified model called the partial-sum dispersion model (Lei & Church, 2013). In this paper, we focus on the unweighted partial sum dispersion problem and introduce an efficient formulation for this generalized dispersion problem based on a construct by Ogryczak and Tamir (2003). We also present a fast branch-and-bound based exact algorithm.

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  • Lei, Ting L. & Church, Richard L., 2015. "On the unified dispersion problem: Efficient formulations and exact algorithms," European Journal of Operational Research, Elsevier, vol. 241(3), pages 622-630.
    • Handle: RePEc:eee:ejores:v:241:y:2015:i:3:p:622-630
    DOI: 10.1016/j.ejor.2014.10.020
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    Cited by:

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    3. San Segundo, Pablo & Coniglio, Stefano & Furini, Fabio & Ljubić, Ivana, 2019. "A new branch-and-bound algorithm for the maximum edge-weighted clique problem," European Journal of Operational Research, Elsevier, vol. 278(1), pages 76-90.

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    Keywords

    Location; Facility dispersion;

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