Titlebook: Integer Programming; Stanis?aw Walukiewicz Book 1991 Springer Science+Business Media Dordrecht 1991 Mathematica.category theory.computer.c

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Unimodularity and Network Flows. Cutting-Plane Methods, optimal solution. If integrality requirements are not redundant, by adding appropriate cuts we may transform solving of a given integer programming problem into solving a sequence of linear programming problems. The remainder of this chapter is devoted to the description of cutting-plane methods.

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Relaxations of Integer Problems. Duality, a good estimation of it in a branch-and-bound method. Moreover, these estimations are usually better than the bounds obtained by linear programming (see Chapter 4) in the sense that they are tighter and/or they require a lower computational load.

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Introduction,The aim of this chapter is to introduce the basic definitions and relations of integer programming and to give examples of its applications.

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Equivalent Formulations for Integer Programs,In the first part of this chapter (Sections 6.1-6.3), we consider a method for constructing equivalent formulations for a following large integer programming problem

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