Linear Programming: Fundamentals and Applications

Linear Programming: Fundamentals and Applications

Linear Programming: Fundamentals and Applications

Linear Programming: Fundamentals and Applications

Excerpt

This book is intended primarily but not exclusively for people engaged in management activities at all levels in the firm and students of management wherever they may be. Its purpose is to point the way to the increased use of linear programming for solving certain types of management problems.

Briefly, linear programming is a technique or tool for providing management with information on which to base decisions and planning. It is a practical technique that, on the basis of results to date, is capable of providing management with better information about certain problems than many techniques and methods currently in use.

Linear programming differs from the "usual" planning procedures found in business in at least two ways. First, the user can consider, relate, and weigh more information and facts about a problem or situation than ordinary pencil-and-paper procedures allow, and in doing so he can gain a clearer picture of the business as a whole, as well as the operation of his own particular area. This is especially useful in large, complex problems where the proper relationships tend to be obscure. Second, an optimum or best answer is provided that the user can verify and support. These features-clearer relationships and supportable best answers-are distinguishing features which are of value to management in making better use of the firm's resources.

We believe that there is considerable use for linear programming in industry. We believe further that the student at the university and college level stands to gain much from the study of linear programming because of the valuable and useful insight into business and management problems that he will obtain as a result.

In this book we will emphasize and stress use and application rather than mathematics and theory. The developers-mathematicians, economists, and researchers-have provided a valuable tool. The concepts, principles, and mathematics underlying the procedure have been proved valid and have appeared in the texts and articles mentioned in the bibliography. The job to be done now is to show how this tool can be used . . .

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