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Maximum Capacity Path Interdiction Problem with Fixed Costs

Author

Listed:
  • Abumoslem Mohammadi

    (Department of Mathematics, Faculty of Sciences, Imam Ali University, Tehran, Iran)

  • Javad Tayyebi

    (Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran)

Abstract

This paper addresses a network optimization interdiction problem, called the maximum capacity path interdiction problem. The problem is a hierarchical game containing two players: one evader and one interdictor. In a capacitated network, the evader wants to find a simple path from his current position to a target point with maximum capacity to send his forces along it while the interdictor decreases arc capacities under a budget constraint to interdict the advance of the evader’s forces as much as possible. This paper studies the case that each arc has a fixed cost for decreasing its capacity. An algorithm is proposed to solve the problem in strongly polynomial time. Computational experiments on two real-world datasets guarantee the efficiency and accuracy of the algorithm.

Suggested Citation

  • Abumoslem Mohammadi & Javad Tayyebi, 2019. "Maximum Capacity Path Interdiction Problem with Fixed Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(04), pages 1-21, August.
    • Handle: RePEc:wsi:apjorx:v:36:y:2019:i:04:n:s0217595919500180
    DOI: 10.1142/S0217595919500180
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    References listed on IDEAS

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    Cited by:

    1. Tayyebi, Javad & Mitra, Ankan & Sefair, Jorge A., 2023. "The continuous maximum capacity path interdiction problem," European Journal of Operational Research, Elsevier, vol. 305(1), pages 38-52.

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