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A Logic-based Decomposition Approach for Multi-Period Network Interdiction Models

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  • Enayaty-Ahangar, Forough
  • Rainwater, Chase E.
  • Sharkey, Thomas C.

Abstract

This research details the creation of a large-scale optimization approach for solving an application of a multi-period bilevel network interdiction problem (NIP). In this class of multi-period NIP, interdiction activities must be scheduled to minimize the cumulative maximum flow over a finite time horizon. A logic-based decomposition (LBD) approach is proposed that utilizes constraint programming to exploit the scheduling nature of this multi-period NIP. Computational results–comparing solutions obtained using the proposed approach versus traditional mixed-integer programming approach–suggest that the LBD approach is more efficient in finding solutions for medium to large problem instances.

Suggested Citation

  • Enayaty-Ahangar, Forough & Rainwater, Chase E. & Sharkey, Thomas C., 2019. "A Logic-based Decomposition Approach for Multi-Period Network Interdiction Models," Omega, Elsevier, vol. 87(C), pages 71-85.
    • Handle: RePEc:eee:jomega:v:87:y:2019:i:c:p:71-85
    DOI: 10.1016/j.omega.2018.08.006
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