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Book Decomposition Techniques in Mathematical Programming

Download or read book Decomposition Techniques in Mathematical Programming written by Antonio J. Conejo and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.

Book Decomposition in General Mathematical Programming

Download or read book Decomposition in General Mathematical Programming written by Olaf E. Flippo and published by . This book was released on 1990 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stability  Duality and Decomposition in General Mathematical Programming

Download or read book Stability Duality and Decomposition in General Mathematical Programming written by Olaf Erik Flippo and published by . This book was released on 1989 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Decomposition in general mathematical programming

Download or read book Decomposition in general mathematical programming written by Olaf E. Flippo and published by . This book was released on 1990 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Duality and Decomposition in General Mathematical Programming

Download or read book Duality and Decomposition in General Mathematical Programming written by O. E. Flippo and published by . This book was released on 1987* with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Decomposition in Large Scale Mathematical Programming

Download or read book Decomposition in Large Scale Mathematical Programming written by Kaj Holmberg and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stochastic Decomposition

    Book Details:
  • Author : Julia L. Higle
  • Publisher : Springer Science & Business Media
  • Release : 2013-11-27
  • ISBN : 1461541158
  • Pages : 237 pages

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.

Book Proceedings of the Princeton Symposium on Mathematical Programming

Download or read book Proceedings of the Princeton Symposium on Mathematical Programming written by Harold William Kuhn and published by Princeton University Press. This book was released on 2015-03-08 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions to convex programming, general nonlinear programming, integer programming, and programming under uncertainty. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Book Decomposition in Large Scale Mathematical Programming

Download or read book Decomposition in Large Scale Mathematical Programming written by and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Programming Methods

Download or read book Mathematical Programming Methods written by G. Zoutendijk and published by . This book was released on 1976 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of linear programming; The simplex method; Numerical aspects of the simplex method; Other methods for linear programming; Special structures; Post-optimal analysis; Decomposition and partitioning methods; Integer and mixed integer linear programming; Theory of nonlinear programming; General principles of a method of feasible directions; Direction generators; Linear programming and the methods of feasible directions; Unconstrained optimization; Quadratic programming; Linearly constrained nonlinear programming; General nonlinear programming.

Book Sequential Methods and Decomposition in Mathematical Programming

Download or read book Sequential Methods and Decomposition in Mathematical Programming written by Alberto Cambini and published by . This book was released on 1976 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Programming

Download or read book Mathematical Programming written by Melvyn Jeter and published by Routledge. This book was released on 2018-05-03 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.

Book Decomposition in Large Scale Mathematical Programming

Download or read book Decomposition in Large Scale Mathematical Programming written by and published by . This book was released on 1985 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory of Suboptimal Decisions

Download or read book Theory of Suboptimal Decisions written by A.A. Pervozvanskii and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were. thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various Isciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geom. eJry interacts with I physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and rpathematical programminglprofit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.