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Fast heuristics for the Steiner tree problem with revenues,budget and hop constraints
Authors:Alysson M Costa  Jean-François Cordeau  Gilbert Laporte
Institution:1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CP 668, São Carlos 13560-970, São Paulo, Brazil;2. Centre for Research on Transportation and Canada Research Chair in Distribution Management, HEC Montréal, 3000 chemin de la Côte-Sainte-Catherine, Montréal, Canada, H3T 2A7;3. Centre for Research on Transportation and Canada Research Chair in Logistics and Transportation, HEC Montréal, 3000 chemin de la Côte-Sainte-Catherine, Montréal, Canada, H3T 2A7
Abstract:This article describes and compares three heuristics for a variant of the Steiner tree problem with revenues, which includes budget and hop constraints. First, a greedy method which obtains good approximations in short computational times is proposed. This initial solution is then improved by means of a destroy-and-repair method or a tabu search algorithm. Computational results compare the three methods in terms of accuracy and speed.
Keywords:Prize collecting  Network design  Steiner tree problem  Budget  Hop constraints  Heuristics  Tabu search
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