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The basic George B. Dantzig

Author: George B Dantzig; Richard Cottle
Publisher: Stanford, Calif. : Stanford Business Books, 2003.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Named Person: George B Dantzig; George Bernard Dantzig; George B Dantzig
Document Type: Book
All Authors / Contributors: George B Dantzig; Richard Cottle
ISBN: 0804748349 9780804748346
OCLC Number: 52509658
Description: xvi, 378 p. : map ; 25 cm.
Contents: 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.
Other Titles: Essays.
Responsibility: edited by Richard W. Cottle.
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Abstract:

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  Read more...

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"This collection of papers not only represents a sample of the extraordinary contributions of George Dantzig but also chronicles the fundamental concepts of mathematical programming and operations Read more...

 
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