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Stochastic Linear Programming: Models, Theory, and Computation (International Series in Operations Research & Management Science)
 
 
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Stochastic Linear Programming: Models, Theory, and Computation (International Series in Operations Research & Management Science) [Hardcover]

Peter Kall (Author), János Mayer (Author)

Price: $124.00 & this item ships for FREE with Super Saver Shipping. Details
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Hardcover, February 17, 2005 $124.00  

Book Description

February 17, 2005 0387233857 978-0387233857 1

Peter Kall and János Mayer are distinguished scholars and professors of Operations Research and their research interest is particularly devoted to the area of stochastic optimization. Stochastic Linear Programming is a definitive presentation and discussion of the theoretical properties of the models, the conceptual algorithmic approaches, and the computational issues relating to the implementation of these methods to solve problems that are stochastic in nature.


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Stochastic Linear Programming: Models, Theory, and Computation (International Series in Operations Research & Management Science) + Introduction to Stochastic Programming (Springer Series in Operations Research and Financial Engineering) + Lectures on Stochastic Programming: Modeling and Theory (MPS-SIAM Series on Optimization)
Price For All Three: $316.08

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Editorial Reviews

Review

From the reviews:

"The book presents a comprehensive study of stochastic linear optimization problems and their applications. … The presentation includes geometric interpretation, linear programming duality, and the simplex method in its primal and dual forms. … The authors have made an effort to collect … the most useful recent ideas and algorithms in this area. … A guide to the existing software is included as well." (Darinka Dentcheva, Mathematical Reviews, Issue 2006 c)

"This is a graduate text in optimisation whose main emphasis is in stochastic programming. The book is clearly written. … This is a good book for providing mathematicians, economists and engineers with an almost complete start up information for working in the field. I heartily welcome its publication. … It is evident that this book will constitute an obligatory reference source for the specialists of the field." (Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1104 (6), 2007)

From the Back Cover

Peter Kall and János Mayer are distinguished scholars and professors of Operations Research and their research interest is particularly devoted to the area of stochastic optimization. STOCHASTIC LINEAR PROGRAMMING: Models, Theory, and Computation is a definitive presentation and discussion of the theoretical properties of the models, the conceptual algorithmic approaches, and the computational issues relating to the implementation of these methods to solve problems that are stochastic in nature. The application area of stochastic programming includes portfolio analysis, financial optimization, energy problems, random yields in manufacturing, risk analysis, etc. In this book models in financial optimization and risk analysis are discussed as examples, including solution methods and their implementation.

Stochastic programming is a fast developing area of optimization and mathematical programming. Numerous papers and conference volumes, and several monographs have been published in the area; however, the Kall & Mayer book will be particularly useful in presenting solution methods including their solid theoretical basis and their computational issues, based in many cases on implementations by the authors. The book is also suitable for advanced courses in stochastic optimization.


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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
recourse subproblem, integrated probability functions, full master problem, separate probability functions, optimal first stage solution, successive discrete approximation method, logconcave function, multistage recourse problems, finite discrete distribution, involving probability functions, relaxed master problem, dual decomposition method, generalized concavity properties, nested decomposition method, central cutting plane method, dual decomposition algorithm, simple recourse problems, discretely distributed case, integrated chance constraints, feasible tableau, optimality cuts, complete fixed recourse, random technology matrix, recourse function, simplex criterion
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Klein Haneveld, Given the Assumptions, Initialization Find, Initialization Set, Compute the Jensen, Initialization Choose, Initialization Let
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