Synopses & Reviews
"I would not hesitate to recommend the book." — Industrial Engineering. Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Appendix offers precise statements of definitions, theorems, and techniques, additional computational procedures. Only high-school algebra needed. Bibliography.
Synopsis
-I would not hesitate to recommend the book.- -- Industrial Engineering
Linear programming is an extremely effective problem-solving tool, with applications in business, agriculture, government, manufacturing, transportation, engineering, and many other areas. This very readable book presents an elementary introduction to linear programming in a refreshing, often humorous style.
Requiring no math beyond high-school algebra, the book shows how linear programming can help anyone reach the optimum solution for a host of diverse problems. Chapter One introduces the basic concepts of linear programming and discusses its relationship to other mathematical models. Chapter Two discusses the formulation of linear-programming problems, including detailed treatment of problems involving diet, catering, assignment, and activity analysis. Chapter Three briefly introduces solution techniques for linear-programming problems, emphasizing the graphical approach. The final chapter describes and formulates a number of important applications, including network problems, traveling-salesman problems and the relationship between linear programming and the theory of games.
Finally, a useful appendix offers precise statements of definitions, theorems and techniques, as well as additional computational procedures. Enlivened with over 70 excellent illustrations, this book represents a very accessible introduction to basic linear programming.
Synopsis
Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Only high-school algebra needed.
Description
Includes bibliographical references (p. 154-156) and index.
Table of Contents
Preface
1 INTRODUCTION
On Getting Dressed
Operations Research and Models
The Transportation Problem
2 FORMULATION OF PROBLEMS
The Diet Problem
The Caterer Problem
The Trim Problem
The Personnel-assignment Problem
The Activity-analysis Problem
3 SOLUTION OF PROBLEMS
Single-variable Problems (for the True Beginner)
Two-variable Problems
A Manufacturing Problem
The Diet Problem (Again)
4 LINEAR POTPOURRI
Network Problems
The Traveling-salesman Problem
The Contract-awards Problem
The Theory of Games
MATHEMATICAL APPENDIX AND SUMMARY OF APPLICATIONS
REFERENCES
BIBLIOGRAPHY
INDEX