Linear Inequalities and Related Systems

By: Dantzig,G.BMaterial type: TextTextSeries: Annals of mathematics studies, 38Publication details: New Jersey: Princeton University Press, 1956Description: 1 vol. (XXI-322 p.) : illustrationsISBN: 9780691079998; 0691079994 Subject(s): Linear programming | MatricesDDC classification: 515.252
Contents:
*Frontmatter, pg. i*Preface, pg. v*Contents, pg. xxiii*1 . Dual Systems of Homogeneous Linear Relations, pg. 1*2. Polyhedral Convex Cones, pg. 19*3 . Resolution and Separation Theorems for Polyhedral Convex Sets, pg. 41*4. Theory of Linear Programming, pg. 53*5. On Systems of Linear Inequalities, pg. 99*6. Infinite Programs, pg. 157*7* A Primal-Dual Algorithm for Linear Programs, pg. 171*8. Marginal Values of Matrix Games and Linear Programs, pg. 183*9 . Determinateness of Polyhedral Games, pg. 195*10. On Systems of Distinct Representatives, pg. 199*11. Dilworth's Theorem on Partially Ordered Sets, pg. 207*12. On the Max-Flow Min-Cut Theorem of Networks, pg. 215*13. Integral Boundary Points of Convex Polyhedra, pg. 223*14 . An Extension of a Theorem of Dantzig's, pg. 247*15. Neighboring Vertices on a Convex Polyhedron, pg. 255*16. On a Theorem of Wald, pg. 265*17. On the Solution of a Game-Theoretic Problem, pg. 275*18. The Closed Linear Model of Production, pg. 285*Bibliography, pg. 305*Backmatter, pg. 326
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*Frontmatter, pg. i*Preface, pg. v*Contents, pg. xxiii*1 . Dual Systems of Homogeneous Linear Relations, pg. 1*2. Polyhedral Convex Cones, pg. 19*3 . Resolution and Separation Theorems for Polyhedral Convex Sets, pg. 41*4. Theory of Linear Programming, pg. 53*5. On Systems of Linear Inequalities, pg. 99*6. Infinite Programs, pg. 157*7* A Primal-Dual Algorithm for Linear Programs, pg. 171*8. Marginal Values of Matrix Games and Linear Programs, pg. 183*9 . Determinateness of Polyhedral Games, pg. 195*10. On Systems of Distinct Representatives, pg. 199*11. Dilworth's Theorem on Partially Ordered Sets, pg. 207*12. On the Max-Flow Min-Cut Theorem of Networks, pg. 215*13. Integral Boundary Points of Convex Polyhedra, pg. 223*14 . An Extension of a Theorem of Dantzig's, pg. 247*15. Neighboring Vertices on a Convex Polyhedron, pg. 255*16. On a Theorem of Wald, pg. 265*17. On the Solution of a Game-Theoretic Problem, pg. 275*18. The Closed Linear Model of Production, pg. 285*Bibliography, pg. 305*Backmatter, pg. 326

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