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Introduction to Operations Research

Frederick S. Hillier and Gerald J. Lieberman
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The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

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1 Introduction
2 Overview of the Operations Research Modeling Approach
3 Introduction to Linear Programming
4 Solving Linear Programming Problems: The Simplex Method
5 The Theory of the Simplex Method
6 Duality Theory and Sensitivity Analysis
7 Other Algorithms for Linear Programming
8 The Transportation and Assignment Problems
9 Network Optimization Models
10 Dynamic Programming
11 Integer Programming
12 Nonlinear Programming
13 Metaheuristics
14 Game Theory
15 Decision Analysis
16 Markov Chains
17 Queueing Theory
18 Inventory Theory
19 Markov Decision Processes
20 Simulation
Appendix 1 Documentation for the OR Courseware
Appendix 2 Convexity
Appendix 3 Classical Optimization Methods
Appendix 4 Matrices and Matrix Operations
Appendix 5 Table for a Normal Distribution
Supplements on the CD-ROM and the Online Learning Center
Additional Cases
Supplement to Appendix 3.1 More about LINGO
Supplement to Chapter 7 Linear Goal Programming and Its Solution Procedures
Supplement to Chapter 8 A Case Study with Many Transportation Problems
Supplement 1 to Chapter 18 Derivation of the Optimal Policy for the Stochastic Single-Period Model for Perishable Products
Supplement 2 to Chapter 18 Stochastic Periodic-Review Models
Supplement 1 to Chapter 20 Variance-Reducing Techniques
Supplement 2 to Chapter 20 Regenerative Method of Statistical Analysis
21 The Art of Modeling with Spreadsheets
22 Project Management with PERT/CPM
23 Additional Special Types of Linear Programming Problems
24 Probability Theory
25 Reliability
26 The Application of Queueing Theory
27 Forecasting
28 Examples of Performing Simulations on Spreadsheets with Crystal Ball
Appendix 6 Simultaneous Linear Equations
About the Authors

# Frederick S. Hillier was born and raised in Aberdeen, Washington, where he was an award winner in statewide high school contents in essay writing, mathematics, debate, and music. As an undergraduate at Stanford University he ranked first in his engineering class of over 300 students. Dr. Hillier's research has extended into a variety of areas, including integer programming, queueing theory and its application, statistical quality control, and the application of operations research to the design of production systems and to capital budgeting. He was the first prize winner of a research contest on "Capital Budgeting of Interrelated Projects" sponsored by The Institute of Management Sciences and the U.S. Office of Naval Research. He and Dr. Lieberman also received the honorable mention award for the 1995 Lanchester Prize (best English-language publication of any kind in the field of operations research) for the 6th edition of IOR. He currently serves as the Series Editor for the International Series in Operations Research and Management Science being published by Kluwer Academic Publishers.

New Features

# New textbook material includes: a chapter on metaheuristics; and sections on constraint programming, multiechelon inventory models for supply chain management, spreadsheet modeling, and Crystal Ball simulation software.

# Expanded coverage of spreadsheets. The 8th edition now features a CD and web-only chapter on "The Art of Modeling with Spreadsheets" and textbook sections on "Formulating and Solving Linear Programming Models on a Spreadsheet," "Performing Sensitivity Analysis on a Spreadsheet," "Using Spreadsheets to Perform Sensitivity Analysis on Decision Trees," and "Performing Simulations on Spreadsheets."

# Each book comes with a CD-ROM containing the aforementioned software in addition to bonus chapters [including Crystal Ball, The Art of Modeling with Spreadsheets, among others], sections, over twenty additional cases, and more than 100 worked examples. Bonus chapters and cases can also be found on the book's Online Learning Center

# A list of chapter-specific learning aids available on the CD-ROM is provided at the end of each chapter.

# This edition has been trimmed down to a more appropriate size for an introductory textbook by shifting little-used material to the CD-ROM.

# A new test bank featuring moderately challenging questions and complete solutions is being provided to instructors on the password-protected portion of the book's Online Learning Center.