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Minimax regret 1-sink location problem with accessibility in dynamic general networks

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  • Li, Hongmei
  • Xu, Yinfeng

Abstract

In this study, we consider the minimax regret 1-sink location problem with accessibility, where all of the weights should always evacuate to the nearest sink point along the shortest path in a dynamic general network with positive edge lengths and uniform edge capacity. Let G=(V,E) be an undirected connected simple graph with n vertices and m edges. Each vertex has a weight that is not known exactly but the interval to which it belongs is given. A particular assignment of a weight to each vertex is called a scenario. The problem requires that a point x should be found as the sink on the graph and all the weights evacuate to x such that the maximum regret for all possible scenarios is minimized. We present an O(m2n3) time algorithm to solve this problem.

Suggested Citation

  • Li, Hongmei & Xu, Yinfeng, 2016. "Minimax regret 1-sink location problem with accessibility in dynamic general networks," European Journal of Operational Research, Elsevier, vol. 250(2), pages 360-366.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:2:p:360-366
    DOI: 10.1016/j.ejor.2015.09.022
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    References listed on IDEAS

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    1. Wang, Haitao, 2014. "Minmax regret 1-facility location on uncertain path networks," European Journal of Operational Research, Elsevier, vol. 239(3), pages 636-643.
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