An Illustrated Guide to Linear Programming

Saul I. Gass

ISBN 10: 0486262588 / ISBN 13: 9780486262581

Editore: Dover Publications Inc., US, 2003

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Dati bibliografici

• Titolo: An Illustrated Guide to Linear Programming
• Editore: Dover Publications Inc., US
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486262588
• ISBN 13: 9780486262581
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

"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.

Contenuti

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