
Integer and Mixed Programming
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Content
- Front Cover
- Integer and Mixed Programming: Theory and Applications
- Copyright Page
- Contents
- Preface
- Part I: METHODS AND MODELS
- Chapter I. PROGRAMS WITH INTEGER AND MIXED VALUES
- Section 1. Introduction
- Section 2. Some Examples of Problems with Integer Solutions
- Section 3. Boole's Binary Algebra
- Section 4. Methods of Solving Programs with Integer Values
- Section 5. Some More Complicated Examples of Problems with Integer Values
- Section 6. Arborescent and Cut Methods for Solving Programs with Integer Values
- Section 7. Programs with Mixed Numbers
- Section 8. Practical Cases
- Part 2: MATHEMATICAL THEORY
- Chapter II. ALGORITHMS AND HEURISTICS FOR INTEGER OR MIXED PROGRAMS
- Section 9. Introduction
- Section 10. Mathematical Properties of Boole's Binary Algebra
- Section 11. Lattice Theory
- Section 12. Other Important Properties of Boole's Binary Algebra
- Section 13. Solutions for Boolean Equations and Inequations
- Section 14. Mathematical Properties of Programming with Integers
- Section 15. Properties of the Optimums of Convex and Concave Functions
- Section 16. Complements on the Theory of Linear Programming
- Section 17. Programming Method of Dantzig and Manne
- Section 18. Solving Linear Equations with Integers
- Section 19. Gomory's Method for Solving Integer Programs
- Supplement. MIXED PROGRAMMING AND RECENT METHODS OF INTEGER PROGRAMMING
- Section 20. Asymptotic Programming in Integers
- Section 21. Partition of Linear Programs into Mixed Numbers
- Section 22. Mixed Programming on a Cone
- Section 23. Trubin's Algorithm
- Conclusion
- Appendix: OPERATIONS ON MODULO 1 EQUATIONS
- Bibliography
- Index
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