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Linear programming and extensions.

Author: George B Dantzig
Publisher: Santa Monica, Calif., Rand Corp., ©1959-
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: George B Dantzig
OCLC Number: 1036147
Description: v. illus. 29 cm.
Contents: The linear programming concept --
Origins and influences --
Formulating a linear programming model --
Linear equation and inequality systems --
The simplex method --
Proof of the simplex algorithm and the duality theorem --
The geometry of linear programs --
Pivoting, vector spaces, matrices, and inverses --
The simplex method using multipliers --
Finiteness of the simplex method under perturbation --
Variants of the simplex algorithm --
The price concept in linear programming --
Games and linear programs --
The classical transportation problem --
Optimal assignment and other distribution problems --
The transshipment problem --
Networks and the transshipment problem --
Variables with upper bounds --
Maximal flows in networks --
The primal-dual method for transportation problems --
The weighted distribution problem --
Programs with variable coefficients --
A decomposition principle for linear programs --
Convex programming --
Uncertainty --
Discrete variable extremum problems --
Stigler's nutrition mode: an example of formulation and solution --
The allocation of aircraft to routes under uncertain demand.

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