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Linear Programming and Generalizations
A Problem-Based Introduction with Spreadsheets
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Gewicht:
1156 g
Format:
243x167x43 mm
Beschreibung:
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
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.
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.