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Operations Research
Operations Research
Examples
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Contents
1. About
Operations Research
2. Linear Optimization
2.1 Introduction
2.2 Function Calls
2.3 Linear Programming
2.3.1 The Simplex Method
2.3.2 Sensitivity Analysis
2.3.3 Primal Affine Scaling
2.3.4 Primal-Dual Interior-Point Method
2.4 Mixed-Integer Programming
2.5 Pure Binary Problems
2.6 Another Example: Using the ReadMPS Routine
3. Quadratic Programming
3.1 Introduction
3.2 Function Calls
3.3 Example
4. Shortest Path
4.1 Introduction
4.2 Function Calls
4.3 Example
5. Combinatorial Optimization
5.1 Introduction
5.2 Utility Functions
5.3 Example Data Set
5.4 Simulated Annealing
5.5 Ant Colony System
5.6 Hungarian Method
5.7 Branch and Bound
5.8 Add-and-Drop Heuristics
5.9 Permutation Heuristics
Appendix A: Example Notebooks
Appendix B: Installation