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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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Mathematical Programming Studieshttp://image.papertrans.cn/c/image/229952.jpg
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Stefano Moncada,Lino Briguglio,Leonard Nurseertain inequalities, also called conditional. If such a conditional lower bound exceeds some known upper bound, then every solution better than the one corresponding to the upper bound violates at least one of the conditional inequalities. This yields a valid disjunction, which can be used to partit
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Marc Dumas-Johansen,Andreas Thulstrupconditional bounds discussed in the companion paper [2]. The algorithm uses a set of heuristics to find prime covers, another set of heuristics to find feasible solutions to the dual linear program which are needed to generate cuts, and subgradient optimization to find lower bounds. It also uses imp
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Marc Dumas-Johansen,Andreas Thulstruptrate how the knowledge of the facets of this polytope can be utilized to solve large-scale travelling salesman problems. In particular, we report how the shortest roundtrip through 120 German cities was found using a commercial linear programming code and adding facetial cutting planes in an intera
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https://doi.org/10.1007/978-3-031-05732-8re efficient than those using the assignment relaxation due to the sharper bounds obtained. Held and Karp noted an analogous relationship between the asymmetric travelling salesman problem and the minimum one-arborescence problem. We implemented a LIFO implicit enumeration algorithm based on this id
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Jens Peter Wulfsberg,Adam Sandersems which were given by the authors independently in earlier papers ([3] and [6]). Besides a unified formulation of the earlier results some modifications and extensions are presented here underlining the central role which the greedy algorithm plays in combinatorial optimization.
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Lecture Notes in Production Engineeringfor the QK problem are derived, and their different uses in a branch-and-bound scheme for solving such a problem are discussed. Some theoretical results concerning the class of all upper planes, as well as extensive computational experience, are reported.
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