Introduction to the Mathematics of Operations Research with Mathematica (2nd Revised edition)

By: Kevin J. Hastings (author)Hardback

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£73.99

Description

The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica(R), Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

Contents

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

Product Details

• publication date: 30/05/2006
• ISBN13: 9781574446128
• Format: Hardback
• Number Of Pages: 592
• ID: 9781574446128
• weight: 975
• ISBN10: 1574446126
• edition: 2nd Revised edition

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