The Simplex Method of Linear Programming (Dover Books on Mathematics) - Softcover

Ficken, F.A.

Softcover

ISBN 10: 048679685X ISBN 13: 9780486796857

Publisher: Dover Publications, 2015

Synopsis

This concise but detailed and thorough treatment discusses the rudiments of the well-known simplex method for solving optimization problems in linear programming. Geared toward undergraduate students, the approach offers sufficient material for readers without a strong background in linear algebra. Many different kinds of problems further enrich the presentation.
The text begins with examinations of the allocation problem, matrix notation for dual problems, feasibility, and theorems on duality and existence. Subsequent chapters address convex sets and boundedness, the prepared problem and boundedness and consistency, optimal points and motivation of the simplex method, and the simplex method and tableaux. The treatment concludes with explorations of the effectiveness of the simplex method and the solution of the dual problem. Two helpful Appendixes offer supplementary material.

About this title

About the Author

Frederick Arthur Ficken taught mathematics at New York University. His other books include Linear Transformations and Matrices.

Edition details

• Publisher: Dover Publications
• Publication date: 2015
• ISBN 10: 048679685X
• ISBN 13: 9780486796857
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 64