Title of article
New variable neighborhood search method for minimum sum coloring problem on simple graphs
Author/Authors
Erfani ، Kh. - Shahrood University of Technology , Rahimi ، S. - Shahrood University of Technology , fathali ، J. - Shahrood University of Technology
Pages
16
From page
39
To page
54
Abstract
The minimum sum coloring problem (MSCP) is to find a legal vertex coloring for G using colors represented by natural numbers (1,2, . . .) such that the total sum of the colors assigned to the vertices is minimized. The aim of this paper is to present the skewed variable neighborhood search (SVNS) for this problem based on a new structure of neighborhoods. To increase the speed of the neighborhood search process, we present the new concepts of holder vertex and set. Tested on 23 commonly used benchmark instances, our algorithm shows acceptable competitive performance with respect to recently proposed heuristics.
Keywords
Minimum sum coloring , Variable neighborhood search , Skewed variable neighborhood search , Chromatic sum , Holder vertex , Holder set , Reducer set.
Journal title
Iranian Journal of Numerical Analysis and Optimization
Serial Year
2018
Journal title
Iranian Journal of Numerical Analysis and Optimization
Record number
2440889
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