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The basic George B. Dantzig

Auteur : George B Dantzig; Richard Cottle
Éditeur : Stanford, Calif. : Stanford Business Books, 2003.
Édition/format :   Print book : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
"George B. Dantzig, widely known as the father of linear programming, has been a major influence in mathematics, operations research, and economics. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, non-technical summaries at the opening of each part of the book introduce a specific research area and discuss the current significance of Dantzig's work in  Lire la suite...
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Personne nommée : George B Dantzig; George B Dantzig; George Bernard Dantzig
Format : Livre
Tous les auteurs / collaborateurs : George B Dantzig; Richard Cottle
ISBN : 0804748349 9780804748346
Numéro OCLC : 52509658
Description : xvi, 378 pages : map ; 25 cm
Contenu : I. Mathematical Statistics --
1. On the nonexistence of tests of "Students" hypothesis having power functions independent of [omega] / George B. Dantzig --
2. On the fundamental lemma of Neyman and Pearson / George B. Dantzig and Abraham Wald --
II. The Simplex Method of Linear Programming --
3. Programming in a linear structure / George B. Dantzig --
4. Maximization of a linear function of variables subject to linear inequalities / George B. Dantzig --
5. The generalized simplex method for minimizing a linear form under linear inequality restraints / George B. Dantzig, Alex Orden and Philip Wolfe --
III. Large-Scale Linear Programming. 6. Upper bounds, secondary constraints, and block triangularity in linear programming / George B. Dantzig --
7. Decomposition principle for linear programs / George B. Dantzig and Philip Wolfe --
8. Generalized upper bounding techniques / G.B. Dantzig and R.M. Van Slyke --
IV. Special Applications and Economic Modeling --
9. Minimizing the number of tankers to meet a fixed schedule / G.B. Dantzig and D.R. Fulkerson --
10. A linear programming approach to the chemical equilibrium problem / G.B. Dantzig, S. Johnson and W. White --
11. Formulating an objective for an economy / G.B. Dantzig, P.H. McAllister and J.C. Stone --
V. Linear Programming under Uncertainty --
12. Linear programming under uncertainty / George B. Dantzig. 13. On the solution of two-stage linear programs under uncertainty / George B. Dantzig and A. Madansky --
14. Parallel processors for planning under uncertainty / George B. Dantzig and Peter W. Glynn --
15. Multi-stage stochastic linear programs for portfolio optimization / George B. Dantzig and Gerd Infanger --
VI. Network Optimization --
16. Solution of a large-scale traveling-salesman problem / G. Dantzig, R. Fulkerson and S. Johnson --
17. On the max-flow min-cut theorem of networks / George B. Dantzig and D.R. Fulkerson --
18. On the shortest route through a network / George B. Dantzig --
VII. Integer Linear Programming and Linear Inequalities. 19. On the significance of solving linear programming problems with some integer variables / George B. Dantzig --
20. Fourier-Motzkin elimination and its dual / George B. Dantzig and B. Curtis Eaves --
VIII. Nonlinear Programming --
21. Quadratic programming / George B. Dantzig --
22. On the continuity of the minimum set of a continuous function / George B. Dantzig, Jon Folkman and Norman Shapiro --
IX. Complementarity Problems --
23. Complementary pivot theory of mathematical programming / Richard W. Cottle and George B. Dantzig --
24. A generalization of the linear complementarity problem / Richard W. Cottle and George B. Dantzig.
Autres titres : Essays.
Responsabilité : edited by Richard W. Cottle.
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Résumé :

Widely known as the father of linear programming, George B. Dantzig has been a major influence in mathematics, operations research and economics. This volume highlights the breadth and influence of  Lire la suite...

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"George B. Dantzig was one of the most important creative minds of the last half-century. Having a selection of his work is a scholarly must, and anyone interested in the application of quantitative Lire la suite...

 
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