Cover: Linear Programming and Extensions

Linear Programming and Extensions

Published 1963

by George Bernard Dantzig

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Part 1

Prefatory Material, Chapters 1-8

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Part 2

Chapters 9-20

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Part 3

Chapters 21-28, Bibliography, Index

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A basic text in linear programming, the solution of systems of linear equalities. The subjects covered include the concepts, origins and formulations of linear programs, and the simplex method of solution as applied to the price concept, matrix games, and transportation problems. Also included is the background, on convex sets and linear spaces, necessary to forward the discussion on such topics as duality, variants of the simplex method, and the extensions of linear programming to convex programs, to programming under uncertainty, and to certain network, topological, and combinatorial problems that may be couched in the form of linear inequalities with integer-valued variables.

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