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Algorithms for Targeting Strikes in a Lines-of-Communication Network

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  • Richard D. Wollmer

    (The Rand Corporation, Santa Monica, California)

Abstract

This paper presents two algorithms for targeting strikes in a lines-of-communication (LOC) network. The LOCs are represented by a network of nodes and directed arcs. It is assumed that the user of the LOCs is attempting to achieve a circulation flow at minimum cost, a very general goal that includes, as special cases, maximizing flow between two points, meeting required flows between two points at minimum cost, and combinations of these two. The algorithms presented here attempt to make such costs as large as possible over time when the effect of targeting strikes is to increase arc-cost functions and decrease arc capacities for a given period of time. The first algorithm treats the situation where arc costs are linear functions of flow; the second treats the situation where arc costs are piecewise linear functions of flow with one break point.

Suggested Citation

  • Richard D. Wollmer, 1970. "Algorithms for Targeting Strikes in a Lines-of-Communication Network," Operations Research, INFORMS, vol. 18(3), pages 497-515, June.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:3:p:497-515
    DOI: 10.1287/opre.18.3.497
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    Cited by:

    1. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
    2. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray & Diane Snediker, 2008. "Comparative Approaches for Assessing Network Vulnerability," International Regional Science Review, , vol. 31(1), pages 88-112, January.
    3. O'Hanley, Jesse R. & Church, Richard L., 2011. "Designing robust coverage networks to hedge against worst-case facility losses," European Journal of Operational Research, Elsevier, vol. 209(1), pages 23-36, February.

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