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Minimax regret vertex 2-sink location problem in dynamic path networks

Author

Listed:
  • Hongmei Li

    (Sichuan University)

  • Yinfeng Xu

    (Sichuan University
    State Key Lab for Manufacturing Systems Engineering)

  • Guanqun Ni

    (Sichuan University)

Abstract

This paper considers the minimax regret vertex 2-sink location problem in a dynamic path network with positive edge lengths and uniform edge capacity. Let $$P$$ P be an undirected path graph of $$n$$ n vertices, and the weight (initial supply) of every vertex is known as an interval. The problem is to find two vertices $$x$$ x and $$y$$ y as two sinks on the path such that all the weights can evacuate to $$x$$ x and $$y$$ y with minimum regret of evacuation time in case of an emergency for any possible weight distribution. We present an $$O(n^3\log n)$$ O ( n 3 log n ) time algorithm.

Suggested Citation

  • Hongmei Li & Yinfeng Xu & Guanqun Ni, 2016. "Minimax regret vertex 2-sink location problem in dynamic path networks," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 79-94, January.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:1:d:10.1007_s10878-014-9716-2
    DOI: 10.1007/s10878-014-9716-2
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    References listed on IDEAS

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    1. L. R. Ford & D. R. Fulkerson, 1958. "Constructing Maximal Dynamic Flows from Static Flows," Operations Research, INFORMS, vol. 6(3), pages 419-433, June.
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    Cited by:

    1. Tetsuya Fujie & Yuya Higashikawa & Naoki Katoh & Junichi Teruyama & Yuki Tokuni, 2024. "Minmax regret 1-sink location problems on dynamic flow path networks with parametric weights," Journal of Combinatorial Optimization, Springer, vol. 48(2), pages 1-20, September.

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