Linear Programming and Extensions
Paperback
Series: Princeton Landmarks in Mathematics and Physics, Book 25
General MathematicsProbability & Statistics
ISBN13: 9780691059136
Publisher: Princeton Univ Pr
Published: Aug 23 1998
Pages: 656
Weight: 1.92
Height: 1.31 Width: 6.12 Depth: 9.20
Language: English
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.Also in
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