This text provides a sound foundation for understanding the concepts, theory and applications of operations research by integrating numerous examples. It covers all the relevant topics along with the recent developments in the field.
The book begins with an overview of operations research and then discusses the simplex method of optimization and duality concept along with the deterministic models such as post-optimality analysis, transportation and assignment models. While covering hybrid models of operations research, the book elaborates PERT (Programme Evaluation and Review Technique), CPM (Critical Path Method), dynamic programming, inventory control models, simulation techniques and their applications in mathematical modelling and computer programming. It explains the decision theory, game theory, queueing theory, sequencing models, replacement and reliability problems, information theory and Markov processes which are related to stochastic models. Finally, this well-organized book describes advanced deterministic models that include goal programming, integer programming and non-linear programming.
This book Useful for Management & M.Com students.
1 Introduction
Part I Deterministic Operations Research Models
2 Linear Programming I: Problem Formulation, Graphical Solution And The Simplex Method
3 Linear Programming Ii: Duality Concept And Post-Optimality Analysis
4 Linear Programming Extensions: Transportation And Assignment Models
5 Project Management: Pert And Cpm
6 Dynamic Programming: Recursive Optimization
7 Inventory Control Models
8 Simulation Techniques And Applications—Mathematical Modelling And Computer Programming
Part III Stochastic Operations Research Models
9 Decision Theory
10 Game Theory: An Analysis Of Strategic Interaction
11 Queueing Theory
12 Sequencing Models
13 Replacement, Maintenance, And Reliability Problems
14 Markov Processes
15 Information Theory
Part IV Advanced Deterministic Operations Research Models
16 Goal Programming
17 Integer Programming
18 Non-Linear Programming
Appendix A Answers To Review Problems
Appendix B Statistical Tables
Bibliography
Index