 Graph Coloring Models and Metaheuristics for Packing ApplicationsNicolas Zufferey ()
Chapter Chapter 14 in Optimized Packings with Applications, 2015, pp 295-317 from Springer Abstract: Abstract On the one hand, in the famous graph coloring problem, each vertex of the considered graph has to get a single color. If two vertices are connected with an edge, then their colors have to be different. The goal consists in coloring the graph with the smallest number of colors. On the other hand, consider the packing problem where items have to be loaded in a container. For each item, we have to decide in which container it will be assigned. As some pairs of items are incompatible, they cannot be loaded in the same container. The goal is to load all the items in a minimum number of containers. Even if the correspondence between these two problems is obvious (a vertex is an item, a color is a container, and an edge represents an incompatibility), there is no obvious bridge between the packing and the graph coloring literatures. In this chapter, some packing problems will be modeled and solved with graph coloring models and methods. Keywords: Graph coloring; Packing with incompatibilities; Metaheuristics (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-18899-7_14 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-18899-7_14 Access Statistics for this chapter More chapters in Springer Optimization and Its Applications from Springer |
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