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Titlebook: Combinatorial Optimization I; M. W. Padberg Book 1980Latest edition Springer-Verlag Berlin Heidelberg 1980 0-444-85489-4.algebra.algorithm

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Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computatithat emerged as best was run on 55 randomly generated test problems (20 of them from the literature), with up to 200 constraints and 2000 variables. The results show the algorithm to be more reliable and efficient than earlier procedures on large, sparse set covering problems.
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https://doi.org/10.1007/978-3-031-05732-8ea and found that it is inferior to the assignment relaxation for two reasons: the relatively large computation time required to compute a minimum one-arborescence; and, more importantly, the fact that the bounds obtained from the two relaxations are about the same for asymmetric problems.
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Energy Hubs: Models and Options,r tour. The empirical results based on a total of 74 problems of sizes ranging from 15-cities to 318-cities lend convincing support to the hypothesis that inequalities defining facets of the convex hull of tours are of substantial computational value in the solution of this difficult combinatorial problem.
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Kenny Pagel,Welf-Guntram Drosselteger polytope. Also some families of SPLP with large duality gaps will be described, together with facets which bridge these gaps. Much of the motivation stems from algorithmic work in which the exploitation of “good” cutting planes within a direct dual algorithm have been shown to be of crucial importance.
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On the symmetric travelling salesman problem: A computational study,r tour. The empirical results based on a total of 74 problems of sizes ranging from 15-cities to 318-cities lend convincing support to the hypothesis that inequalities defining facets of the convex hull of tours are of substantial computational value in the solution of this difficult combinatorial problem.
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Fractional vertices, cuts and facets of the simple plant location problem,teger polytope. Also some families of SPLP with large duality gaps will be described, together with facets which bridge these gaps. Much of the motivation stems from algorithmic work in which the exploitation of “good” cutting planes within a direct dual algorithm have been shown to be of crucial importance.
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