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Weighted matching as a generic pruning technique applied to optimization constraints

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  • Radosław Cymer

Abstract

We study the application of matching theory within a constraint programming framework. In this work we describe a filtering scheme based on weighted matchings. A first benefit of our pruning technique comes from the fact that it can be applied on various optimization constraints. In a number of important cases our method achieves domain consistency in polynomial time. A key feature in our implementation is the use of decomposition theory. The paper compares some of the optimization constraints reported in the literature and shows how they can be solved with the help of the weighted matching. Copyright Springer Science+Business Media New York 2014

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  • Radosław Cymer, 2014. "Weighted matching as a generic pruning technique applied to optimization constraints," Annals of Operations Research, Springer, vol. 217(1), pages 165-211, June.
    • Handle: RePEc:spr:annopr:v:217:y:2014:i:1:p:165-211:10.1007/s10479-014-1582-x
    DOI: 10.1007/s10479-014-1582-x
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    1. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
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