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Title of Journal: Math Program

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Abbravation: Mathematical Programming

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Springer-Verlag

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10.1007/978-4-431-55318-2_27

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1436-4646

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The capacitated max Emphasis Type="Italic"k/Emp

Authors: Daya Ram Gaur Ramesh Krishnamurti Rajeev Kohli
Publish Date: 2007/06/14
Volume: 115, Issue: 1, Pages: 65-72
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Abstract

We consider a capacitated max kcut problem in which a set of vertices is partitioned into k subsets Each edge has a nonnegative weight and each subset has a possibly different capacity that imposes an upper bound on its size The objective is to find a partition that maximizes the sum of edge weights across all pairs of vertices that lie in different subsets We describe a localsearch algorithm that obtains a solution with value no smaller than 1 − 1/k of the optimal solution value This improves a previous bound of 1/2 for the max kcut problem with fixed though possibly different sizes of subsets

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  12. Using cuts for mixed integer knapsack sets to generate cuts for mixed integer polyhedral conic sets
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