Titlebook: Integer Programming and Network Models; H. A. Eiselt,C.-L. Sandblom Book 2000 Springer-Verlag Berlin Heidelberg 2000 Integer Programming.N

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The Integer Programming Problem and its Propertieslready known to the Greeks, e.g., Euclid (3rd century B.C.) and Diophantos (3rd century A.D.). Their achievement was the determination of the greatest common divisor (g.c.d.) of a set of numbers (accomplished by the Euclidean Algorithm) as well as some answers to the question: when does a given set

GUILE

Irritate

Reformulation of Problemspriate variables and expressing the limitations or constraints on these variables in terms of linear relationships. However, straightforward modeling is not always adequate in integer and mixed integer programming. The practical user will soon find that much care needs to be expended in modeling, so

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欢呼

Branch and Bound Methodsy. Rather than being a specific algorithm, branch and bound is a general principle that allows the user to finetune the procedure and adjust it to the problem under consideration. The first section introduces the general idea, the second section discusses some specific strategies, and Section 3 then

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CAMP

Tree Networks set of nodes using a minimal number of edges in such a way that any two nodes of the set are connected by a unique chain. As such, the tree is a fundamental structure in many fields of study: network theory, social science, computer science, transportation, and many others. The simple structure of

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Shortest Path Problemsntal of components in the fields of transportation and communication networks. Shortest path problems may be encountered directly, possibly as a result of a clever formulation of a problem not at first sight involving shortest paths, or indirectly as a subproblem in the solution of a more complicate

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Traveling Salesman Problems and Extensionst remains one of the most challenging problems in operations research. Hundreds of articles have been written on the problem. The book edited by Lawler . (1985) provides an insightful and comprehensive survey of major research results until that date. The purpose of this chapter is present some exac

Anecdote

ARC Routing Königsberg Bridge Problem posed in 1736. It concerns a walk across the seven bridges of Königsberg that lead across the Pregel River; see Figure II.35a. The question Euler asked was whether or not a walk would exist on which each of the bridges is crossed exactly once. When presenting the problem a