Mathematical methods of operations research 运筹学中的数学方法

The first graduate-level text devoted to mathematical methods of operations research, this classic reference offers a concise history and overview of methods as well as an excellent exposition of the mathematical foundations underlying classical operations research procedures.
Unlike texts that assume mathematical prerequisites or offer cursory coverage of the necessary background, this text provides a full treat-ment of mathematical fundamentals. It begins with a review of the historical, scientific, and mathematical aspects of operations research. Examples and ideas related to classical methods of forming models introduce discussions of optimization, game theory, applica-tions of probability, and queuing theory. Carefully selected exercises illustrate important and useful ideas.
Written in a clear and straightforward style, Mathematical Methods of Operations Research is an ideal resource for students wishing to investigate the basic mathematics of operations research, including methods of proof, logical notions, and elementary mathematical and modeling concepts. In addition, it serves as a valuable source of ref-erences to early literature on operations research, particularly unpublished material.

Preface to the Dover Edition
Preface to the First Edition
1. Operations Research-History and Concepts
Part 1. Scientific Method-Truth; Mathematics and Logic-Validity;Outlines of Some Useful Mathematical Models
2. Some Remarks on Scientific Method in Operations Research
3. Mathematical Existence and Logical Proof
4. Elementary Classical Methods Used in Model Formulation
Part 2. Optimization, Programming, and Game Theory
5. Optimization
6. Linear and Quadratic Programming
7. The Theory of Games
Some Optimization Problems
Part 3. Probability, Applications, Statistics, and Queueing Theory
8. Probability
9. Some Applications
10. Fundamental Statistics
11. R4sum4 of Queueing Theory
Some Probability and Statistics Problems
Part 4. An Essay
12. Some Thoughts on Creativity
Elementary Analytical Problems and Projects
Part 5. Decision Making
13. Multicriteria Decision Making: The Analytic Hierarchy Process
Index
Index to Chapter 13