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Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results

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  • Clemens Heuberger

    (Technische Universität Graz)

Abstract

Given a (combinatorial) optimization problem and a feasible solution to it, the corresponding inverse optimization problem is to find a minimal adjustment of the cost function such that the given solution becomes optimum. Several such problems have been studied in the last twelve years. After formalizing the notion of an inverse problem and its variants, we present various methods for solving them. Then we discuss the problems considered in the literature and the results that have been obtained. Finally, we formulate some open problems.

Suggested Citation

  • Clemens Heuberger, 2004. "Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 329-361, September.
    • Handle: RePEc:spr:jcomop:v:8:y:2004:i:3:d:10.1023_b:joco.0000038914.26975.9b
    DOI: 10.1023/B:JOCO.0000038914.26975.9b
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    References listed on IDEAS

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