本书是“运筹学导论”初级篇英文版第8版,在全新的第24章里,书中详细介绍了15个实际应用案例,对这些案例的分析通常涉及多种OR技术(例如启发式算法和线性规划,或者线性整数规划和排队论),用来进行建模、数据采集以及问题的求解计算等,这些应用问题在相关的各章都有引用,使读者能够充分了解实际生活中如何运用运筹学技术。
本书是运筹学方面的经典著作之一,为全球众多高校采用。初级篇共12章,内容包括线性规划建模、单纯形方法和灵敏度分析、对偶性和后最优分析、运输模型及其变型、网络模型、目标规划、整数线性规划、确定性动态规划、确定性库存模型、决策分析和博弈、排队系统等,并附有AMPL建模语言简介。
本书可作为经管类专业、数学专业和计算机专业本科生的教材,也可供相关研究人员参考。
初级篇
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
Chapter 3 The Simplex Method and Sensitivity Analysis
Chapter 4 Duality and Post-Optimal Analysis
Chapter 5 Transportation Model and Its Variants
Chapter 6 Network Models
Chapter 7 Goal Programming
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
高级篇
Chapter 13 Advanced Linear Programming
Chapter 14 Review of Basic Probability
Chapter 15 ProbabilisUc Inventory Models
Chapter 16 Simulation Modeling
Chapter 17 Markov Chains
Chapter 18 Classical Optimization Theory
Chapter 19 Nonlinear Programming Algorithm
Chapter 20 Additional Network and LP Algorithms
Chapter 2t Forecasting Models
Chapter 22 Probabilistic Dynamic Programming
Chapter 23 Uarkovian Decision Process
Chapter 24 Case Analysis
Appendix B StaUsUcal Tables
Appendix C Partial Solutions to Answers Problems
Appendix D Review of Vectors and Matrices
Appendix E Case Studies