Linear Programming and Extensions /

Linear Programming and Extensions / / George Dantzig.

In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
VerfasserIn:
Dantzig, George,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1963
Year of Publication:2016
Language:English
Series:Princeton Landmarks in Mathematics and Physics ; 48
Online Access:
Physical Description:1 online resource (656 p.) :; 99 figs. 64 tables
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1. The Linear Programming Concept
  • 2. Origins and Influences
  • 3. Formulating a Linear Programming Model
  • 4. Linear Equation and Inequality Systems
  • 5. The Simplex Method
  • 6. Proof of the Simplex Algorithm and the Duality Theorem
  • 7. The Geometry of Linear Programs
  • 8. Pivoting, Vector Spaces, Matrices, and Inverses
  • 9. The Simplex Method Using Multipliers
  • 10. Finiteness of the Simplex Method under Perturbation
  • 11. Variants of the Simplex Algorithm
  • 12. The Price Concept in Linear Programming
  • 13. Games And Linear Programs
  • 14. The Classical Transportation Problem
  • 15. Optimal Assignment and Other Distribution Problems
  • 16. The Transshipment Problem
  • 17. Networks and the Transshipment Problem
  • 18. Variables with Upper Bounds
  • 19. Maximal Flows in Networks
  • 20. The Primal-Dual Method for Transportation Problems
  • 21. The Weighted Distribution Problem
  • 22. Programs with Variable Coefficients
  • 23. A Decomposition Principle for Linear Programs
  • 24. Convex Programming
  • 25. Uncertainty
  • 26. Discrete-Variable Extremum Problems
  • 27. Stigler's Nutrition Model: An Example of Formulation and Solution
  • 28. The Allocation of Aircraft to Routes under Uncertain Demand
  • Bibliography
  • Subject Index
  • Name Index
  • Selected Rand Books

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