Linear Programming and Extensions

George Bernard Dantzig

ResearchPublished 1963

Part 1

Prefatory Material, Chapters 1-8

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Includes Part 2; Part 3

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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Dantzig, George Bernard, Linear Programming and Extensions. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/reports/R366.html.
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