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Titlebook: Combinatorial Optimization; Second International A. Ridha Mahjoub,Vangelis Markakis,Vangelis Th. Pa Conference proceedings 2012 Springer-Ve

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On the Hop Constrained Steiner Tree Problem with Multiple Root Nodeso improve the quality of lower bounds of both models. To solve the problem to optimality, we implement branch-and-price algorithms for all proposed formulations. Our computational results show that the branch-and-price approaches based on path formulations outperform the flow formulations if the hop limit is not too loose.
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Conference proceedings 2012m 94 regular and 30 short submissions. They present original research on all aspects of combinatorial optimization, ranging from mathematical foundations and theory of algorithms to computational studies and practical applications.
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1.12 Programs for computational chemistry,. We demonstrate this by computing the bound associated with the level 1, 2, and 3 relaxations of several highly symmetric binary integer programming problems. We also present a class of constraints, called ., that further improves the bound, and in some cases provides a tight formulation.
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https://doi.org/10.1007/978-3-642-03501-2d characterize when these inequalities define facets for the associated polytope. Moreover, we devise separation routines for these inequalities. Based on this, we develop a Branch-and-Cut algorithm and present some experimental results.
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