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Cover image for Optimization modeling with spreadsheets
Title:
Optimization modeling with spreadsheets
Personal Author:
Series:
Duxbury applied series
Publication Information:
Belmont, CA : Thomson Brooks / Cole, 2006
Physical Description:
1 CD-ROM ; 12 cm.
ISBN:
9780534494742
General Note:
Accompanies text of the same title : HB143.7 B34 2006

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30000010108094 CP 7701 Computer File Accompanies Open Access Book Compact Disc Accompanies Open Access Book
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Summary

Summary

Presenting a spreadsheet-based introduction to mathematical programming concepts and applications, this book emphasizes on model building. It also includes a tutorial on the use of Excel's Solver and Frontline Systems Premium Solver and is intended for undergraduate and graduate students in management and engineering.


Table of Contents

1 Introduction to Spreadsheet Modeling for Optimization
Elements of a Model
Spreadsheet Models
A Hierarchy for Analysis
Optimization Software
Using Solver
Summary
Homework
2 Linear Programming Formulations: Allocation, Covering, and Blending Models
Linear Models
Allocation Models
Blending Models
Modeling Errors in Linear Programming
Summary
Homework
3 Linear Programming Formulations: Network Models
The Transportation Model
The Assignment Model
The Transshipment Model
Features of Special Network Models
Building Network Models with Balance Equations
General Network Models with Expanding Flows
General Network Models with Transformed Flows
Summary
Homework
4 Sensitivity Analysis Linear Programs
Sensitivity Analysis Transportation Example
Sensitivity Analysis in the Allocation Example
The Sensitivity Report and the Transportation Example
The Sensitivity Report and the Allocation Example
Degeneracy and Alternative Optima
Patterns in Linear Programming Solutions
Summary
Homework
5 Linear Programming Formulations: Data Envelopment Analysis
A Graphical Perspective on DEA
An Algebraic Perspective on DEA
A Spreadsheet Model for DEA
Indexing
Finding Reference Sets and HCUs
Assumptions and Limitations of DEA
Summary
Homework
6 Integer Programming
Using Solver with Integer Requirements
Models with Binary Choice
Models with Qualitative Constraints
The Facility Location Model
The Algorithm for Solving Integer Programs
Summary
Homework
7 Nonlinear Programming
One-Variable Models
Local Optima and Search for an Optimum
Two-Variable Models
Nonlinear Models with Constraints
Linearizations
Summary
Homework
8 Heuristic Solutions with the Evolutionary Solver
Features of the Evolutionary Solver
An Illustrative Example: Nonlinear Regression
The Machine-Sequence Problem Revisited
The Traveling Salesperson Problem Revisited
Multi-Machine Scheduling
Two-Dimensional Location
Group Assignment
Summary
Homework
Appendix I Software
Appendix II Graphical Methods in Linear Programming
Appendix III The Simplex Method
Appendix IV Stochastic Programming.
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