
| Hamdy A.Taha 美国阿肯色大学荣休教授,世界知名运筹学家,曾在全球各地教和担任顾问,同时拥有非常丰富的教学研究和实践经验。他在Management Science和Operations Research等世界顶级学术刊物上发表了大量论文。 |
| Chapter 1 What Is Operations Research? 1.1 Operations Research Models 1.2 Solving the OR Model 1.3 Queuing and Simulation Models 1.4 Art of Modeling 1.5 More Than Just Mathematics 1.6 Phases of an OR Study 1.7 About This Book References Chapter 2 Modeling with Linear Programming 2.1 Two-Variable LP Model 2.2 Graphical LP Solution 2.3 Selected LP Applications 2.4 Computer Solution with Solver and AMPL References Chapter 3 The Simplex Method and Sensitivity Analysis 3.1 LP Model in Equation Form 3.2 Transition from Graphical to Algebraic Solution 3.3 The Simplex Method 3.4 Artificial Starting Solution 3.5 Special Cases in the Simplex Method 3.6 Sensitivity Analysis References Chapter 4 Duality and Post-Optimal Analysis 4.1 Definition of the Dual Problem 4.2 Primal-Dual Relationships 4.3 Economic Interpretation of Duality 4.4 Additional Simplex Algorithms 4.5 Post-Optimal Analysis References Chapter 5 Transportation Model and Its Variants 5.1 Definition of the Transportation Model 5.2 Nontraditional Transportation Models 5.3 The Transportation Algorithm 5.4 The Assignment Model 5.5 The Transshipment Model References Chapter 6 Network Models 6.1 Scope and Definition of Network Models 6.2 Minimal Spanning Tree Algorithm 6.3 Shortest-Route Problem 6.4 Maximal flow model 6.5 CPM and PERT References Chapter 7 Goal Programming 7.1 A Goal Programming Formulation 7.2 Goal Programming Algorithms References Chapter 8 Integer Linear Programming Chapter 9 Deterministic Dynamic Programming Chapter 10 Deterministic Inventory Models Chapter 11 Decision Analysis and Games Chapter 12 Queuing Systems Appendix A AMPL Modeling Language Reference |
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