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Lower and Upper Bounding Strategies for the Network Disconnection Problem  

김현준 (울산대학교 경영학부)
명영수 (단국대학교(천안) 경영학과)
박성수 (한국과학기술원 산업공학과)
오상민 (한국과학기술원 산업공학과)
Publication Information
Abstract
The network disconnection problem ms to find a set of edges such that the total cost of removing the edges is no more than a given budget and the weight of nodes disconnected from a designated source by removing edges is maximized. Martel et at. have shown that the problem with unit capacity and unit demand Is NP-hard and Myung and kim present an integer programming formulation and develop an algorithm that Includes a preprocessing procedure and lower and upper bounding strateagies. in this paper, we present new findings on the properties of the optimal solution and an alternative integer programming formulation, based on which new lower and upper bounding strategies are developed. Computational results for evaluating the performance of the proposed algorithm are also presented.
Keywords
Network Disconnection Problem; Combinatorial Optimization;
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