Article ID Journal Published Year Pages File Type
1141869 Discrete Optimization 2011 15 Pages PDF
Abstract

In this work we study a particular way of dealing with interference in combinatorial optimization models representing wireless communication networks. In a typical wireless network, co-channel interference occurs whenever two overlapping antennas use the same frequency channel, and a less critical interference is generated whenever two overlapping antennas use adjacent channels. This motivates the formulation of the minimum-adjacency vertex coloring problem   which, given an interference graph GG representing the potential interference between the antennas and a set of prespecified colors/channels, asks for a vertex coloring of GG minimizing the number of edges receiving adjacent colors. We propose an integer programming model for this problem and present three families of facet-inducing valid inequalities. Based on these results, we implement a branch-and-cut algorithm for this problem, and we provide promising computational results.

Related Topics
Physical Sciences and Engineering Mathematics Control and Optimization
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