An Illustrated Guide to Linear Programming by Dr. Saul I. Gass

By Dr. Saul I. Gass

Wonderful, nontechnical creation covers uncomplicated ideas of linear programming and its dating to operations learn; geometric interpretation and challenge fixing, resolution innovations, community difficulties, even more. Appendix deals distinct statements of definitions, theorems, and methods, extra computational strategies. simply high-school algebra wanted. Bibliography.

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Extra info for An Illustrated Guide to Linear Programming

Sample text

What happens to these five napkins can be represented by the equation k1 + q1 + d1 = 5 The total cost for the first day’s operation is (25n1 + 15k1 + 1Oq1) cents. Of course, our problem is to determine exactly what numerical values to give to the variables of the problem--so far we have n1, k1, q1, and d1 as variables, with n1 equal to exactly 5. Once we have all the equations of our problem, the computational procedures of linear programming can be put to work to find the minimum cost solution.

Finally it came out. The manager had read and reread all about the nut problem. He felt that he might now be able to become a big production man in a nut factory—but he made automobiles. The manager was unable to transfer the concepts of the product-mix, resource-allocation nut problem to his own environment. ” I am sure today’s readers are more astute. At least they have been forewarned. To illustrate the versatility and adaptability of the linear-programming model, I shall next describe a number of the now-classical problems found in the linear-programming literature.

As I have been actively involved in the field of linear programming since 1952, it is rather difficult to discriminate and delineate the numerous influences which have shaped the presentation of the Guide. S. Air Force. But through the years, I have gained in knowledge and concepts via readings, lectures, meetings, bull-sessions, and, of course, many stimulating discussions with friends and associates. Their subliminal contributions are gratefully acknowledged. I want to express my deep appreciation to my wife, Trudy, for her continuing encouragement and patience, to Bill McWilliam for capturing the essence of the subject matter in his excellent illustrations, and to Joanne Wagner for her accomplishing the most difficult task of reading my pen scratches and translating them to typed copy.

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