Titlebook: Combinatorial Programming: Methods and Applications; Proceedings of the N B. Roy (Professeur et Conseiller Scientifique) Conference proceed

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Modeling of the Machining Process,e line-disjoint hamiltonian cycles. A number of seemingly open questions extending the concept of hamiltonian graphs are raised. Finally, pursuing the Held-Karp approach for solving symmetric traveling salesman problems, an extension of the minimum spanning tree problem is briefly discussed.

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Introduction to Smart Maintenancew that this problem, which is combinatorially a level of complexity beyond the ordinary minimum spanning tree problem, can be solved by a highly efficient “quasi-greedy” algorithm. Applications include a tele-communication linking problem and a new relaxation strategy for the traveling salesman prob

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,Politics — The Essence of Organisation?, vector of m ones and c is an arbitrary (non-negative) vector of n reals. This class of problems is known as the set packing problem, see e.g. (1). It is closely related to the set partitioning problem (SPP) and to the set covering problem. In the former case, the inequality constraints Ax≤e of (IP)

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Modelling Techniques and Heuristics for Combinatorial Problemsmming modelling, tree-search (branch and bound) methods, and heuristic methods. The paper is divided into the following sections: 1. Objectives of the paper; 2. Morphology of combinatorial problems; 3. The general approach to solving combinatorial problems; 4. Integer programming formulations; 5. Ex