Mathematical Programming and Operations Research
Book 1: Linear and Integer Programming
Beta version — awaiting peer review

By Robert Hildebrand, adapted in part from open resources · CC BY-SA 4.0 · Book home · Download EPUB · PDF

1. Mathematical Programming and Operations Research Book 1: Linear and Integer Programming
2. Preface
3. Sources and Attribution
4. Use of Generative AI
5. Contents
6. Notation
7. Introduction
8. 1 Mathematical Programming
9. I Linear Programming
10. 2 Modeling: Linear Programming
11. 3 Software - Excel
12. 4 Modeling with Compact Notation
13. 5 Graphically Solving Linear Programs
14. 6 Formal Mathematical Statements
15. 7 Simplex Method
16. 8 Simplex - Matrix Calculations
17. 9 Simplex Method in Tableau Form
18. 10 Sensitivity Analysis
19. 11 Duality
20. 12 Software - Python
21. 13 Multi-Objective Optimization
22. II Discrete Algorithms
23. 14 Graph Algorithms
24. III Introduction to Integer Programming
25. 15 Introduction to Integer Programming Formulations
26. A Linear Equations
27. B Systems of Equations
28. C Matrices
29. D ℝn
30. E Optimization Software Resources
31. E Answers to Learning Checkpoints
32. E Further Reading and Resources