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

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Boolean Elements in Combinatorial Optimization. Fortet [12], [13]. This approach was continued by P. Camion [5], R. Faure and Y. Malgrange [11], P.L. Hammer (Ivanescu), I. Rosenberg and S. Rudeanu [29]. A monograph [31] on this subject has appeared in 1968, and since then numerous publications have been devoted both to theoretical and to practi
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Fourier-Motzkin Elimination and Its Dual with Application to Integer Programmingque for reducing the number of variables in the system. A description of the method can “be found in Fourier [1], Dines [2], and Motzkin [3]. It differs from its analog for systems of equations in that (unfortunately) each step in the elimination can greatly increase the number of inequalities in th
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Chemins et Circuits: Enumeration et Optimisationù il est question d’itinéraires de véhicules ou de messages, d’horaires en matière de transport public ou de gestion d’équipes, de circuits de distribution ou de ramassage, de séquence de fabrication ou de montage, d’ordonnancement de chantiers ou de production, de rotation d’engins ou d’équipages,
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Hamiltonian Circuits and the Travelling Salesman Problemution of the travelling salesman problem are given with particular emphasis being placed on the calculation of tight bounds that can be used in a variety of tree-search algorithms. Procedures using the assignment and shortest spanning tree problems to provide such bounds and to direct the tree-searc
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