Entropy Optimization and Mathematical Programming

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Entropy optimization is a useful combination of classical engineering theory (entropy) with mathematical optimization. The resulting entropyoptimization models have proved their usefulness with successful applications in areas such as image reconstruction, pattern recognition, statistical inference, queuing theory, spectral analysis, statistical mechanics, transportation planning, urban and regional planning, input-output analysis, portfolio investment, information analysis, and linear and nonlinear programming.
While entropy optimization has been used in different fields, a good number of applicable solution methods have been loosely constructed without sufficient mathematical treatment. A systematic presentation with proper mathematical treatment of this material is needed by practitioners and researchers alike in all application areas. The purpose of this book is to meet this need. Entropy Optimization andMathematical Programming offers perspectives that meet the needs of diverse user communities so that the users can apply entropyoptimization techniques with complete comfort and ease. With this consideration, the authors focus on the entropy optimization problems in finite dimensional Euclidean space such that only some basic familiarity with optimization is required of the reader.

Author(s): S.-C. Fang, J. R. Rajasekera, H.-S. J. Tsao (auth.)
Series: International Series in Operations Research & Management Science 8
Edition: 1
Publisher: Springer US
Year: 1997

Language: English
Pages: 343
Tags: Operation Research/Decision Theory; Calculus of Variations and Optimal Control; Optimization; Optimization

Front Matter....Pages i-x
Introduction to Entropy and Entropy Optimization Principles....Pages 1-16
Entropy Optimization Models....Pages 17-49
Entropy Optimization Methods: Linear Case....Pages 51-124
Entropy Optimization Methods: General Convex Case....Pages 125-185
Entropic Perturbation Approach to Mathematical Programming....Pages 187-246
L p -Norm Perturbation Approach: A Generalization of Entropic Perturbation....Pages 247-284
Extensions and Related Results....Pages 285-323
Back Matter....Pages 325-343