Approximation algorithms for constructing some required structures in digraphs

Jianping Li, Yu Ge, Shuai He and Junran Lichen

European Journal of Operational Research, 2014, vol. 232, issue 2, 307-314

Abstract: We consider a new problem of constructing some required structures in digraphs, where all arcs installed in such required structures are supposed to be cut from some pieces of a specific material of length L. Formally, we consider the model: a digraph D=(V, A; w), a structure S and a specific material of length L, where w: A→R+, we are asked to construct a subdigraph D′ from D, having the structure S, such that each arc in D′ is constructed by a part of a piece or/and some whole pieces of such a specific material, the objective is to minimize the number of pieces of such a specific material to construct all arcs in D′.

Keywords: Combinatorial optimization; Digraph; Structure construction; Inapproximability; (Asymptotic) approximation algorithms (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:232:y:2014:i:2:p:307-314

DOI: 10.1016/j.ejor.2013.07.033

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