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Author : john r. birge
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 (91 download)
Download or read book decomposition and partitioning methods for multi-stage stochastic linear programs written by john r. birge and published by . This book was released on 1982 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julia L. Higle
Publisher : Springer Science & Business Media
ISBN 13 : 1461541158
Total Pages : 237 pages
Book Rating : 4.4/5 (615 download)
Download or read book Stochastic Decomposition written by Julia L. Higle and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivation Stochastic Linear Programming with recourse represents one of the more widely applicable models for incorporating uncertainty within in which the SLP optimization models. There are several arenas model is appropriate, and such models have found applications in air line yield management, capacity planning, electric power generation planning, financial planning, logistics, telecommunications network planning, and many more. In some of these applications, modelers represent uncertainty in terms of only a few seenarios and formulate a large scale linear program which is then solved using LP software. However, there are many applications, such as the telecommunications planning problem discussed in this book, where a handful of seenarios do not capture variability well enough to provide a reasonable model of the actual decision-making problem. Problems of this type easily exceed the capabilities of LP software by several orders of magnitude. Their solution requires the use of algorithmic methods that exploit the structure of the SLP model in a manner that will accommodate large scale applications.
Download or read book A Parallel Implementation of the Nested Decomposition Algorithm for Multistage Stochastic Linear Programs written by and published by . This book was released on with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.F/5 ( download)
Download or read book Decomposition and (importance) Sampling Techniques for Multi-stage Stochastic Linear Programs written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1993 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (685 download)
Download or read book Decomposition and (importance) Sampling Techniques for Multi-stage Stochastic Linear Programs written by and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The difficulty of solving large-scale multi-stage stochastic linear programs arises from the sheer number of scenarios associated with numerous stochastic parameters. The number of scenarios grows exponentially with the number of stages and problems get easily out of hand even for very moderate numbers of stochastic parameters per stage. Our method combines dual (Benders) decomposition with Monte Carlo sampling techniques. We employ importance sampling to efficiently obtain accurate estimates of both expected future costs and gradients and right-hand sides of cuts. The method enables us to solve practical large-scale problems with many stages and numerous stochastic parameters per stage. We discuss the theory of sharing and adjusting cuts between different scenarios in a stage. We derive probabilistic lower and upper bounds, where we use importance path sampling for the upper bound estimation. Initial numerical results turned out to be promising.
Author : George Bernard Dantzig
Publisher : Stanford University Press
ISBN 13 : 9780804748346
Total Pages : 412 pages
Book Rating : 4.7/5 (483 download)
Download or read book The Basic George B. Dantzig written by George Bernard Dantzig and published by Stanford University Press. This book was released on 2003 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The late George B. Dantzig , widely known as the father of linear programming, was a major influence in mathematics, operations research, and economics. As Professor Emeritus at Stanford University, he continued his decades of research on linear programming and related subjects. Dantzig was awarded eight honorary doctorates, the National Medal of Science, and the John von Neumann Theory Prize from the Institute for Operations Research and the Management Sciences. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, non-technical summaries at the opening of each major section introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings.
Author : John R. Birge
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.F/5 ( download)
Download or read book Solution Methods for Stochastic Dynamic Linear Programs written by John R. Birge and published by . This book was released on 1980 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programs have been formulated for many practical situations that require decisions made periodically through time. These dynamic linear programs often involve uncertainties. Deterministic solutions of these problems may lead to costly incorrect decisions, and, when a stochastic solution is attempted the problem may become too large. In this report, we present methods for reducing the computational cost of these stochastic programs, and we show conditions under which the stochastic program need not be solved. Our methods are based on the large-scale programming techniques of decomposition, partitioning, and basic factorization. (Author).
Author : John R. Birge
Publisher : Springer Science & Business Media
ISBN 13 : 0387226184
Total Pages : 427 pages
Book Rating : 4.3/5 (872 download)
Download or read book Introduction to Stochastic Programming written by John R. Birge and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This rapidly developing field encompasses many disciplines including operations research, mathematics, and probability. Conversely, it is being applied in a wide variety of subjects ranging from agriculture to financial planning and from industrial engineering to computer networks. This textbook provides a first course in stochastic programming suitable for students with a basic knowledge of linear programming, elementary analysis, and probability. The authors present a broad overview of the main themes and methods of the subject, thus helping students develop an intuition for how to model uncertainty into mathematical problems, what uncertainty changes bring to the decision process, and what techniques help to manage uncertainty in solving the problems. The early chapters introduce some worked examples of stochastic programming, demonstrate how a stochastic model is formally built, develop the properties of stochastic programs and the basic solution techniques used to solve them. The book then goes on to cover approximation and sampling techniques and is rounded off by an in-depth case study. A well-paced and wide-ranging introduction to this subject.
Author : Peter Kall
Publisher : Springer Science & Business Media
ISBN 13 : 0387244409
Total Pages : 405 pages
Book Rating : 4.3/5 (872 download)
Download or read book Stochastic Linear Programming written by Peter Kall and published by Springer Science & Business Media. This book was released on 2005-07-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : John R. Birge
Publisher : Elsevier
ISBN 13 : 9780080553252
Total Pages : 1026 pages
Book Rating : 4.5/5 (532 download)
Download or read book Handbooks in Operations Research and Management Science: Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.
Author : Lewis Ntaimo
Publisher : Springer Nature
ISBN 13 : 3031524640
Total Pages : 518 pages
Book Rating : 4.0/5 (315 download)
Download or read book Computational Stochastic Programming written by Lewis Ntaimo and published by Springer Nature. This book was released on with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karsten Linowsky
Publisher :
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4.:/5 (254 download)
Download or read book Sampling-based Decomposition Methods in Multistage Stochastic Optimization written by Karsten Linowsky and published by . This book was released on 2005 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George B. Dantzig
Publisher : Springer Science & Business Media
ISBN 13 : 0387226338
Total Pages : 462 pages
Book Rating : 4.3/5 (872 download)
Download or read book Linear Programming 1 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing all the major topics students will encounter in courses on the subject, the authors teach both the underlying mathematical foundations and how these ideas are implemented in practice. They illustrate all the concepts with both worked examples and plenty of exercises, and, in addition, provide software so that students can try out numerical methods and so hone their skills in interpreting the results. As a result, this will make an ideal textbook for all those coming to the subject for the first time. Authors' note: A problem recently found with the software is due to a bug in Formula One, the third party commercial software package that was used for the development of the interface. It occurs when the date, currency, etc. format is set to a non-United States version. Please try setting your computer date/currency option to the United States option . The new version of Formula One, when ready, will be posted on WWW.
Author : Saul I. Gass
Publisher : Springer Science & Business Media
ISBN 13 : 1461304598
Total Pages : 774 pages
Book Rating : 4.4/5 (613 download)
Download or read book Encyclopedia of Operations Research and Management Science written by Saul I. Gass and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research: 1934-1941," 35, 1, 143-152; "British The goal of the Encyclopedia of Operations Research and Operational Research in World War II," 35, 3, 453-470; Management Science is to provide to decision makers and "U. S. Operations Research in World War II," 35, 6, 910-925; problem solvers in business, industry, government and and the 1984 article by Harold Lardner that appeared in academia a comprehensive overview of the wide range of Operations Research: "The Origin of Operational Research," ideas, methodologies, and synergistic forces that combine to 32, 2, 465-475. form the preeminent decision-aiding fields of operations re search and management science (OR/MS). To this end, we The Encyclopedia contains no entries that define the fields enlisted a distinguished international group of academics of operations research and management science. OR and MS and practitioners to contribute articles on subjects for are often equated to one another. If one defines them by the which they are renowned. methodologies they employ, the equation would probably The editors, working with the Encyclopedia's Editorial stand inspection. If one defines them by their historical Advisory Board, surveyed and divided OR/MS into specific developments and the classes of problems they encompass, topics that collectively encompass the foundations, applica the equation becomes fuzzy. The formalism OR grew out of tions, and emerging elements of this ever-changing field. We the operational problems of the British and U. s. military also wanted to establish the close associations that OR/MS efforts in World War II.
Author : Kaveh Sheibani
Publisher : ORLAB Analytics
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4./5 ( download)
Download or read book Journal of Applied Operational Research written by Kaveh Sheibani and published by ORLAB Analytics. This book was released on 2014-03-31 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are pleased to welcome readers to this issue of the Journal of Applied Operational Research (JAOR), Volume 6, Number 1. The journal reports on developments in all aspects of operational research, including the latest advances and applications. It is a primarily goal of the journal to focus on and publish practical case studies which illustrate real-life applications.
Author : Sang-Jin Lee
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (89 download)
Download or read book Parallel Solution of Multistage Linear Programming Problems Using the Analytic Center Method written by Sang-Jin Lee and published by . This book was released on 1993 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Frauendorfer
Publisher : Springer Science & Business Media
ISBN 13 : 3642956963
Total Pages : 236 pages
Book Rating : 4.6/5 (429 download)
Download or read book Stochastic Two-Stage Programming written by Karl Frauendorfer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Programming offers models and methods for decision problems wheresome of the data are uncertain. These models have features and structural properties which are preferably exploited by SP methods within the solution process. This work contributes to the methodology for two-stagemodels. In these models the objective function is given as an integral, whose integrand depends on a random vector, on its probability measure and on a decision. The main results of this work have been derived with the intention to ease these difficulties: After investigating duality relations for convex optimization problems with supply/demand and prices being treated as parameters, a stability criterion is stated and proves subdifferentiability of the value function. This criterion is employed for proving the existence of bilinear functions, which minorize/majorize the integrand. Additionally, these minorants/majorants support the integrand on generalized barycenters of simplicial faces of specially shaped polytopes and amount to an approach which is denoted barycentric approximation scheme.
