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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.
Inhaltsverzeichnis
Introduction.- Excel spreadsheets.- Solving linear equations.- Introduction to the Simplex method.- Solving linear programs.- Formulating linear and nonlinear programs.- Formulating integer programs.- A second look at the Simplex method.- Duality.- A final look at the Simplex method.- Networks.- Convex analysis.- Optimality conditions for nonlinear programs.- Solution concepts in game theory.- Equilibria in game theory.
Zusammenfassung
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.
Bericht
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)
