In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. This book develops linear programming methods for their solutions. It introduces the basic theory of linear inequalities and describes the simplex method used to solve them. Series: Princeton Landmarks in Mathematics & Physics. Num Pages: 656 pages, 99 figs. 64 tables. BIC Classification: KC; PBF; PBUH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 157 x 38. Weight in Grams: 910. . 1998. Paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Linear Programming and Extensions
Publisher: Princeton University Press
Publication Date: 1998
Language: English
ISBN 10: 0691059136
ISBN 13: 9780691059136
Binding: Soft cover
Condition: New

About this title

Synopsis

The influential book that established the mathematical discipline of linear programming

In the worlds of finance, business, and management, mathematicians and economists frequently encounter problems of optimization. In this classic book, George Dantzig shows how the methods of linear programming can provide solutions. Drawing on a wealth of examples, he introduces the basic theory of linear inequalities and describes the powerful simplex method used to solve them. He discusses the price concept, the transportation problem, and matrix methods, and covers key mathematical concepts such as the properties of convex sets and linear vector spaces. Dantzig demonstrates how linear programming can be applied to a host of optimization problems, from minimizing traffic congestion to maximizing the scheduling of airline flights.

An invaluable resource for students and practitioners alike, Linear Programming and Extensions is an extraordinary account of the development and uses of this versatile mathematical technique, blending foundational research in mathematical theory with computation, economic analysis, and applications to industrial problems.

About the Author

George B. Dantzig (1914–2005) is widely acclaimed as the father of linear programming and was a leading figure in the development of mathematical optimization, making important contributions to fields such as industrial engineering, economics, and statistics. He was professor emeritus of operations research and computer science at Stanford University.

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