Exact approaches for solving robust prize-collecting Steiner tree problems

Eduardo Álvarez-Miranda, Ivana Ljubić and Paolo Toth

European Journal of Operational Research, 2013, vol. 229, issue 3, 599-612

Abstract: In the Prize-Collecting Steiner Tree Problem (PCStT) we are given a set of customers with potential revenues and a set of possible links connecting these customers with fixed installation costs. The goal is to decide which customers to connect into a tree structure so that the sum of the link costs plus the revenues of the customers that are left out is minimized. The problem, as well as some of its variants, is used to model a wide range of applications in telecommunications, gas distribution networks, protein–protein interaction networks, or image segmentation.

Keywords: Prize collecting Steiner trees; Robust optimization; Interval uncertainty; Mixed integer programming; Branch-and-cut (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:229:y:2013:i:3:p:599-612

DOI: 10.1016/j.ejor.2013.03.037

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