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arXiv · 1412.8723

On a Cardinality-Constrained Transportation Problem With Market Choice

Pelin Damci-Kurt·Santanu S. Dey·Simge Kucukyavuz
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Abstract

It is well-known that the intersection of the matching polytope with a cardinality constraint is integral [8]. We prove a similar result for the polytope corresponding to the transportation problem with market choice (TPMC) (introduced in [4]) when the demands are in the set $\{1,2\}$. This result generalizes the result regarding the matching polytope and also implies that some special classes of minimum weight perfect matching problem with a cardinality constraint on a subset of edges can be solved in polynomial time.

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Pelin Damci-Kurt, Santanu S. Dey, Simge Kucukyavuz. 2014-12-30. On a Cardinality-Constrained Transportation Problem With Market Choice. https://arxiv.org/abs/1412.8723

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