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A search problem on a bipartite network

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  • Baston, Vic
  • Kikuta, Kensaku

Abstract

A searcher starting from a given node in a connected network can move along the edges and, when at a node can (but does not have to) search that node; moving on an edge involves a travelling cost and searching a node involves a search cost. The searcher wants to find an immobile object located at one of the nodes other than the searcher’s starting node and, for each node, knows the probability that it is located there. The object is found if and only if the searcher is at the node where the object is hidden and searches there. How can the searcher find the object at minimum cost? We analyze this problem when the network is complete bipartite, where the set of nodes is partitioned to two.

Suggested Citation

  • Baston, Vic & Kikuta, Kensaku, 2019. "A search problem on a bipartite network," European Journal of Operational Research, Elsevier, vol. 277(1), pages 227-237.
    • Handle: RePEc:eee:ejores:v:277:y:2019:i:1:p:227-237
    DOI: 10.1016/j.ejor.2019.02.029
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    References listed on IDEAS

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    1. Steve Alpern & Thomas Lidbetter, 2013. "Mining Coal or Finding Terrorists: The Expanding Search Paradigm," Operations Research, INFORMS, vol. 61(2), pages 265-279, April.
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    7. Vic Baston & Kensaku Kikuta, 2015. "Search games on a network with travelling and search costs," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 347-365, May.
    8. Cheng-Shang Chang & Wanjiun Liao & Ching-Min Lien, 2015. "On the Multichannel Rendezvous Problem: Fundamental Limits, Optimal Hopping Sequences, and Bounded Time-to-Rendezvous," Mathematics of Operations Research, INFORMS, vol. 40(1), pages 1-23, February.
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    Cited by:

    1. Alpern, Steve & Lidbetter, Thomas, 2020. "Search and Delivery Man Problems: When are depth-first paths optimal?," European Journal of Operational Research, Elsevier, vol. 285(3), pages 965-976.
    2. Leone, Pierre & Buwaya, Julia & Alpern, Steve, 2022. "Search-and-rescue rendezvous," European Journal of Operational Research, Elsevier, vol. 297(2), pages 579-591.

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