Optimization Modelling: A Practical Approach

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CRC Press, Oct 15, 2007 - Technology & Engineering - 502 pages
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Although a useful and important tool, the potential of mathematical modelling for decision making is often neglected. Considered an art by many and weird science by some, modelling is not as widely appreciated in problem solving and decision making as perhaps it should be. And although many operations research, management science, and optimization books touch on modelling techniques, the short shrift they usually get in coverage is reflected in their minimal application to problems in the real world. Illustrating the important influence of modelling on the decision making process, Optimization Modelling: A Practical Approach helps you come to grips with a wide range of modelling techniques.

Highlighting the modelling aspects of optimization problems, the authors present the techniques in a clear and straightforward manner, illustrated by examples. They provide and analyze the formulation and modelling of a number of well-known theoretical and practical problems and touch on solution approaches. The book demonstrates the use of optimization packages through the solution of various mathematical models and provides an interpretation of some of those solutions. It presents the practical aspects and difficulties of problem solving and solution implementation and studies a number of practical problems. The book also discusses the use of available software packages in solving optimization models without going into difficult mathematical details and complex solution methodologies.

The emphasis on modelling techniques rather than solution algorithms sets this book apart. It is a single source for a wide range of methods, classic theoretical and practical problems, data collection and input preparation, the use of different optimization software, and practical issues of modelling, model solving, and implementation. The authors draw directly from their experience to provide lessons learned when applying modelling techniques to practical problem solving and implementation difficulties.

 

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Contents

Chapter 1 Introduction
3
Chapter 2 The Process of Optimization
17
Chapter 3 Introduction to Modelling
31
Modelling Techniques
57
Chapter 4 Simple Modelling Techniques I
59
Chapter 5 Simple Modelling Techniques II
103
Chapter 6 Modelling LargeScale and WellKnown Problems I
145
Chapter 7 Modelling WellKnown Problems II
177
Chapter 10 Input Preparation and Model Solving
277
Chapter 11 Output Analysis and Practical Issues
327
Chapter 12 Basic Optimization Techniques
347
Practical Problems
379
Chapter 13 Models for Practical Problems I
381
Chapter 14 Models for Practical Problems II
411
Chapter 15 Solving Practical Problems
437
Index
463

Chapter 8 Alternative Modelling
205
Model Solving
221
An Overview
223
Back cover
471
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