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Introduction to the Mathematics of Operations Research with Mathematica

Kevin J. Hastings
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2007
Number of Pages: 
567
Format: 
Hardcover with CDROM
Edition: 
2
Series: 
Pure and Applied Mathematics 279
Price: 
89.95
ISBN: 
1574446126
Category: 
Textbook
We do not plan to review this book.

 Graph Theory and Network Analysis
Definitions and Examples
Spanning Trees
Minimal Cost Networks
Critical Path Algorithm
Maximal Flow Problems
Maximum Matching Problems
Other Problems of Graph Theory

Linear Programming
Two-Variable Problems
Geometry of Linear Programming
Simplex Algorithm for the Standard Maximum Problem
Duality and the Standard Minimum Problem

Further Topics in Linear Programming
Non-Standard Problems
Transportation Problem
Sensitivity Analysis

Markov Chains
Definitions and Examples
Short-Run Distributions
First Passage Times
Classification of States
Limiting Probabilities
Absorption Probabilities

Continuous Time Processes
Poisson Processes
Birth and Death Processes
Renewal Processes
Queueing Theory
Brownian Motion

Dynamic Programming
The Markovian Decision Model
The Finite Horizon Problem
The Discounted Reward Problem
Policy Improvement
Optimal Stopping of a Markov Chain
Extended Applications

Appendix A - Probability Review

Appendix B - Answers to Selected Exercises

Appendix C - Glossary of Mathematica Commands