Titlebook: Combinatorial Optimization for Undergraduates; L. R. Foulds Textbook 1984 Springer-Verlag New York Inc. 1984 Excel.combinatorial optimizat

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Solution Techniquesristic problem solving. It begins with integer programming (IP), that is, the optimization of a linear function subject to a number of linear constraints, where the variables of the function must be integers. The elementary notions of two broad approaches to integer programming—enumerative technique

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Optimization on Graphs and NetworksV Gas Company (SVGC) has the task of designing a supply system so that there is a path of pipes from GT to every other town. The manager of SVGC wishes to lay the smallest amount of pipe possible. His team of engineers have drawn up Table 3.1 showing the length of pipe (in kilometers) required for a

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Combinatorial Optimization for Undergraduates978-1-4613-9511-9Series ISSN 0172-6056 Series E-ISSN 2197-5604

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Advances in Science, Technology & Innovationristic problem solving. It begins with integer programming (IP), that is, the optimization of a linear function subject to a number of linear constraints, where the variables of the function must be integers. The elementary notions of two broad approaches to integer programming—enumerative techniques and cutting planes, are covered.

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Advances in Science, Technology & Innovationproblem is an optimization problem in which the objective function and all the constraints are linear. Many real-world problems can be formulated in this way. Even more problems can be effectively approximated by an LP model. Also an LP solution method can be used as a subroutine in solving integer-