Linear Programming Computation [E-Book] / by Ping-Qi PAN.
Organized into two volumes. this book represents a real breakthrough in the field of linear programming (LP). The first volume addresses fundamentals, including geometry of feasible region, simplex method, implementation of simplex method, duality and dual simplex method, sensitivity analysis and pa...
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Full text |
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Personal Name(s): | PAN, Ping-Qi, author |
Edition: |
2nd edition 2023. |
Imprint: |
Singapore :
Springer,
2023
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Physical Description: |
XXVIII, 737 pages 1 illustration (online resource) |
Note: |
englisch |
ISBN: |
9789811901478 |
DOI: |
10.1007/978-981-19-0147-8 |
Subject (LOC): |
- Chapter 1. Introduction
- Chapter 2. Geometry of Feasible Region
- Chapter 3. Simplex Method
- Chapter 4. Implementation of Simplex Method
- Chapter 5. Duality Principle and Dual Simplex Method
- Chapter 6. Primal-Dual Simplex Method
- Chapter 7. Sensitivity Analysis and Parametric LP
- Chapter 8. Generalized Simplex Method
- Chapter 9. Decomposition Method
- Chapter 10. Interior-Point Method
- Chapter 11. Integer Linear Programming (ILP)
- Chapter 12. Pivot Rule
- Chapter 13. Dual Pivot Rule
- Chapter 14. Simplex Phase-I Method
- Chapter 15. Dual Simplex Phase-l Method
- Chapter 16. Reduced Simplex Method
- Chapter 17. D-Reduced Simplex Method
- Chapter 18. Generalized Reduced Simplex Method
- Chapter 19. Deficient-Basis Method
- Chapter 20. Dual Decient-Basis Method
- Chapter 21. Face Method with Cholesky Factorization
- Chapter 22. Dual Face Method with Cholesky Factorization
- Chapter 23. Face Method with LU Factorization
- Chapter 24. Dual Face Method with LU Factorization
- Chapter 25. Simplex Interior-Point Method
- Chapter 26. Facial Interior-Point Method
- Chapter 27. Decomposition Principle.