An Illustrated Guide to Linear Programming

by Saul I. Gass

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.

Genres: Mathematics, Science

224 pages, Hardcover

First published January 1, 1970

Reviews

[Lucille Nguyen · Rating 4 out of 5]

Is what it says it is: an illustrated introductory guide to linear programming. Covers simple linear optimization problems, introduces the simplex method, offers an appendix for further learning. Good for what it sets out to do.

[Liam · Rating 4 out of 5]

"This type of diet problem was first formulated in the early 1940s -- before the discovery of the mathematics and solution procedures of linear programming. At that time, and economist, George J. Stigler, formulated a 77-food, nutrient-diet problem, using 1939 costs of the foods. Stigler's approach was by trial and error. ... His solution called for the use of only five foods at a total yearly cost of $39.93. ... The true minimum cost diet obtained by linear programming methods called for nine foods ... with a slightly better yearly cost of $39.67." (33-4)

"In situations ... where the newfangled mathematics is pitted against human experience, it is psychologically and strategically important to obtain the cooperation and interaction of the human element." (53)

[Valerie · Rating 3 out of 5]

Not the most fun reading, but a great book on one of the most fascinating subjects in useful mathematics.