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A Dynamic Factorization Algorithm For General Large Scale Linear Programming Problems
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Book Synopsis A Dynamic Factorization Algorithm for General Large-Scale Linear Programming Problems by : Richard D. McBride
Download or read book A Dynamic Factorization Algorithm for General Large-Scale Linear Programming Problems written by Richard D. McBride and published by . This book was released on 1977 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Factorization in Large-Scale Optimization by : Michael P. Olson
Download or read book Dynamic Factorization in Large-Scale Optimization written by Michael P. Olson and published by . This book was released on 1989 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Factorization is an approach to linear programming (LP) in which the algebraic elements of the LP tableau are organized in such a way that a large portion of the tableau may be represented implicitly and generated from the remaining explicit part. In dynamic row factorization, the row structure of the LP model instance influences the algebraic structure of the tableau, and the dimension of the algebraic elements may change as the solution progresses. We present three algorithms motivated by this approach, each resulting from a different LPL model row structure: generalized upper bound (GUB) rows, pure network rows and generalized network rows. We describe implementations of all three algorithms, specifying data structures for tableau and basis inverse representations and detailing procedures for manipulation and update of these representations. (KR).
Book Synopsis The Factorization Approach to Large-Scale Linear Programming by : G. W. Graves
Download or read book The Factorization Approach to Large-Scale Linear Programming written by G. W. Graves and published by . This book was released on 1973 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unifying concept for large-scale linear programming is developed. This approach called 'factorization' allows one to isolate the effect of different types of constraints and variables in the algebraic representation of the tableau. Two different factorizations based on a double representation of the basic tableau are presented. The use of factorization to obtain efficient algorithms for generalized upper bounding and block diagonal constraints as well as the general network problem is discussed. Computational results for a new network algorithm based on factorization are presented. (Author).
Book Synopsis On Large-scale Linear Programming by : Markku Juhani Kallio
Download or read book On Large-scale Linear Programming written by Markku Juhani Kallio and published by . This book was released on 1975 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three classes of methods are proposed for solving large-scale linear programs. First, sequential projection is applied to reformulate the linear program as a dynamic program. Second, the revised simplex method using a special factorization for the basis is considered. Third, a class of feasible direction methods is presented. A comparison of these three classes is made. A probabilistic model is developed to estimate computational effort for matrix multiplications. This model is applied to estimate computational effort for linear programming algorithms.
Book Synopsis Large-scale Linear Programming Using the Cholesky Factorization by : M. A. Saunders
Download or read book Large-scale Linear Programming Using the Cholesky Factorization written by M. A. Saunders and published by . This book was released on 1972 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Factorization in Large-scale Linear Programming by : Richard DeWayne McBride
Download or read book Factorization in Large-scale Linear Programming written by Richard DeWayne McBride and published by . This book was released on 1973 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Naval Research Logistics Quarterly by :
Download or read book Naval Research Logistics Quarterly written by and published by . This book was released on 1977 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Solution of Large-scale Optimization Problems by : Robert Stephen Maier
Download or read book Parallel Solution of Large-scale Optimization Problems written by Robert Stephen Maier and published by . This book was released on 1990 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-scale Linear Programming by : George Bernard Dantzig
Download or read book Large-scale Linear Programming written by George Bernard Dantzig and published by . This book was released on 1981 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microreproduction of the edition issued by the same publisher, 1971?
Book Synopsis Bulletin of the Operations Research Society of America by :
Download or read book Bulletin of the Operations Research Society of America written by and published by . This book was released on 1972 with total page 1230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Large-scale Linear Programming by : Stanford University. Systems Optimization Laboratory
Download or read book On Large-scale Linear Programming written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1975 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis FACTORIZATION IN LARGE-SCALE LINEAR PROGRAMMING by : RICHARD D. MACBRIDE
Download or read book FACTORIZATION IN LARGE-SCALE LINEAR PROGRAMMING written by RICHARD D. MACBRIDE and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Modern Numerical Nonlinear Optimization by : Neculai Andrei
Download or read book Modern Numerical Nonlinear Optimization written by Neculai Andrei and published by Springer Nature. This book was released on 2022-10-18 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a thorough theoretical and computational analysis of unconstrained and constrained optimization algorithms and combines and integrates the most recent techniques and advanced computational linear algebra methods. Nonlinear optimization methods and techniques have reached their maturity and an abundance of optimization algorithms are available for which both the convergence properties and the numerical performances are known. This clear, friendly, and rigorous exposition discusses the theory behind the nonlinear optimization algorithms for understanding their properties and their convergence, enabling the reader to prove the convergence of his/her own algorithms. It covers cases and computational performances of the most known modern nonlinear optimization algorithms that solve collections of unconstrained and constrained optimization test problems with different structures, complexities, as well as those with large-scale real applications. The book is addressed to all those interested in developing and using new advanced techniques for solving large-scale unconstrained or constrained complex optimization problems. Mathematical programming researchers, theoreticians and practitioners in operations research, practitioners in engineering and industry researchers, as well as graduate students in mathematics, Ph.D. and master in mathematical programming will find plenty of recent information and practical approaches for solving real large-scale optimization problems and applications.
Book Synopsis Mathematics of the Decision Sciences by : George Bernard Dantzig
Download or read book Mathematics of the Decision Sciences written by George Bernard Dantzig and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extremal Methods and Systems Analysis by : A. V. Fiacco
Download or read book Extremal Methods and Systems Analysis written by A. V. Fiacco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers appearing in this Volume were selected from a collec tion of papers presented at the Internationa~ Symposium on Extrema~ Methods and Systems Ana~ysis on the Occasion of Professor A. Charnes' 60th Birthday, at the University of Texas in Austin, 13-15 September 1977. As coeditors, we have followed the normal editorial procedures of scholarly journals. We have obtained invaluable assistance from a number of colleagues who essentially performed the duties of associate editors, coordinating most of the reviews. All papers except those appearing in the Historica~ Perspectives section were refereed by at least two individuals with competency in the respective area. Because of the wide range and diversity of the topics, it would have been im possible for us to make a consistently rational selection of papers without the help of the associate editors and referees. We are indeed grateful to them. The breadth of extremal methods and systems analysis, suggested by the range of topics covered in these papers, is characteristic of the field and also of the scholarly work of Professor Charnes. Extre mal methods and systems analysis has been a pioneering and systematic approach to the development and application of new scientific theories and methods for problems of management and operations in both the pri vate and public sectors, spanning all major disciplines from economics to engineering.
Book Synopsis Modeling and Managing Interdependent Complex Systems of Systems by : Yacov Y. Haimes
Download or read book Modeling and Managing Interdependent Complex Systems of Systems written by Yacov Y. Haimes and published by John Wiley & Sons. This book was released on 2018-09-04 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the theory, methodology, and development for modeling systems of systems Modeling and Managing Interdependent Complex Systems of Systems examines the complexity of, and the risk to, emergent interconnected and interdependent complex systems of systems in the natural and the constructed environment, and in its critical infrastructures. For systems modelers, this book focuses on what constitutes complexity and how to understand, model and manage it.Previous modeling methods for complex systems of systems were aimed at developing theory and methodologies for uncoupling the interdependencies and interconnections that characterize them. In this book, the author extends the above by utilizing public- and private- sector case studies; identifies, explores, and exploits the core of interdependencies; and seeks to understand their essence via the states of the system, and their dominant contributions to the complexity of systems of systems. The book proposes a reevaluation of fundamental and practical systems engineering and risk analysis concepts on complex systems of systems developed over the past 40 years. This important resource: Updates and streamlines systems engineering theory, methodology, and practice as applied to complex systems of systems Introduces modeling methodology inspired by philosophical and conceptual thinking from the arts and sciences Models the complexity of emergent interdependent and interconnected complex systems of systems by analyzing their shared states, decisions, resources, and decisionmakers Written for systems engineers, industrial engineers, managers, planners, academics and other professionals in engineering systems and the environment,this text is the resource for understanding the fundamental principles of modeling and managing complex systems of systems, and the risk thereto.
