Entropy Optimization and Mathematical Programming: International Series in Operations Research & Management Science, cartea 8
Autor Shu-Cherng Fang, J.R. Rajasekera, H.S.J. Tsaoen Limba Engleză Paperback – 29 oct 2012
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 and Mathematical Programming offers perspectives that meet the needs of diverse user communities so that the users can apply entropy optimization 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.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 920.17 lei 6-8 săpt. | |
Springer Us – 29 oct 2012 | 920.17 lei 6-8 săpt. | |
Hardback (1) | 924.93 lei 6-8 săpt. | |
Springer Us – 31 iul 1997 | 924.93 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781461378105
ISBN-10: 1461378109
Pagini: 356
Ilustrații: X, 343 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:Softcover reprint of the original 1st ed. 1997
Editura: Springer Us
Colecția Springer
Seria International Series in Operations Research & Management Science
Locul publicării:New York, NY, United States
ISBN-10: 1461378109
Pagini: 356
Ilustrații: X, 343 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:Softcover reprint of the original 1st ed. 1997
Editura: Springer Us
Colecția Springer
Seria International Series in Operations Research & Management Science
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Introduction to Entropy and Entropy Optimization Principles.- 1.1 Introduction to Finite-Dimensional Entropy.- 1.2 Entropy Optimization Problems.- References.- 2 Entropy Optimization Models.- 2.1 Queueing Theory.- 2.2 Transportation Planning.- 2.3 Input-Output Analysis.- 2.4 Regional Planning.- 2.5 Portfolio Optimization.- 2.6 Image Reconstruction.- References.- 3 Entropy Optimization Methods: Linear Case.- 3.1 Existing Methods.- 3.2 An Unconstrained Convex Programming Approach.- 3.3 Entropy Optimization Problems with Infinitely Many Linear Constraints.- References.- 4 Entropy Optimization Methods: General Convex Case.- 4.1 Existing Methods.- 4.2 Entropy Optimization with Quadratic Constraints.- 4.3 Entropy Optimization with Entropic Constraints.- 4.4 Entropy Optimization with Convex Constraints.- References.- 5 Entropic Perturbation Approach to Mathematical Programming.- 5.1 Linear Programming: Karmarkar-Form.- 5.2 Linear Programming: Standard-Form.- 5.3 Convex Quadratic Programming.- 5.4 Linear and Convex Quadratic Semi-infinite Programming.- References.- 6 Lp-Norm Perturbation Approach: A Generalization of Entropic Perturbation.- 6.1 Perturbing the Dual Feasible Region of Standard-form Linear Programs.- 6.2 Solving Linear Programs with Inequality Constraints via Perturbation of Feasible Region.- 6.3 Perturbing Dual Feasible Region of Convex Quadratic Programs.- References.- 7 Extensions and Related Results.- 7.1 Entropy Optimization with Countably Many Variables.- 7.2 Entropy Optimization and Bayesian Statistical Estimation.- 7.3 Entropic Regularization for Min-Max Problems.- 7.4 Semi-Infinite Min-Max Problems.- References.