Linear Programming and Generalizations

Beschreibung

This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.
This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.
The book discusses a trilogy of keys to economic reasoning: shadow prices, opportunity costs and marginal analysis - Discuses selective treatment of other MP topics that are used today, including integer programming, networks, convex analysis, game theory, and Equilibria in game theory - Eric Denardo is a leading international academic researcher and teacher in Mathematical Programming methods Includes supplementary material: sn.pub/extras

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Eric V. Denardo

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From the reviews:

“This text includes a more in-depth review of LP, lending the student thorough knowledge of the art and science of problem solving using LP. … Undergraduate students in applied commerce or business programs are clearly part of the audience. It is also suitable for a course that introduces LP, its application, and its integration with widely used software … . Practitioners with an interest in refreshing their knowledge in LP or expanding their knowledge to include LP will be equally satisfied by this book.” (Geoffrey T. Pond, Interfaces, Vol. 42 (3), May-June, 2012)

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