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new variable neighborhood search method for minimum sum coloring problem on simple graphs
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نویسنده
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erfani kh. ,rahimi s. ,fathali j.
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منبع
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iranian journal of numerical analysis and optimization - 2018 - دوره : 8 - شماره : 2 - صفحه:39 -54
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چکیده
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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.
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کلیدواژه
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minimum sum coloring ,variable neighborhood search ,skewed variable neighborhood search ,chromatic sum ,holder vertex ,holder set ,reducer set.
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آدرس
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shahrood university of technology, department of applied mathematics, ایران, shahrood university of technology, department of applied mathematics, ایران, shahrood university of technology, department of applied mathematics, ایران
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پست الکترونیکی
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fathali@shahroodut.ac.ir
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روش جستجوی همسایگی متغیر برای مسئله مینیمم رنگ آمیزی مجموع روی گراف های ساده
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Authors
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عرفانی حیدرنیا خلیل ,رحیمی شعرباف صادق ,فتحعلی جعفر
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