Decomposition of large-scale problems.
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Decomposition of large-scale problems. by NATO Institute on Decomposition Cambridge, Eng. 1972.

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Published by North-Holland Pub. Co., American Elsevier Pub. Co. in Amsterdam, New York .
Written in English

Subjects:

  • Decomposition method -- Congresses.

Book details:

Edition Notes

StatementEditor: David M. Himmelblau.
ContributionsHimmelblau, David Mautner, 1923- ed.
Classifications
LC ClassificationsQA402.2 .N37 1972
The Physical Object
Paginationix, 571 p.
Number of Pages571
ID Numbers
Open LibraryOL5307167M
LC Control Number72090429

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Coordination and Decomposition of Large-Scale Planning and Scheduling Problems with Application to Steel Production (Schriftenreihe des Lehrstuhls fur Systemdynamik und Prozessfuhrung) on *FREE* shipping on qualifying offers. Coordination and Decomposition of Large-Scale Planning and Scheduling Problems with Application to Steel Author: Book Depository US. In many problems of large size encountered in applications, the constraints are linear, while the objective function is a sum of two parts: a linear part involving most of the variables of the problem, and a concave part involving only a relatively small number of : Reiner Horst, Hoang Tuy. lems and even less is available in terms of software. The book by Wilkinson [] still constitutes an important reference. Certainly, science has evolved since the writing of Wilkinson’s book and so has the computational environment and the demand for solving large matrix problems. Problems are becoming largerFile Size: 2MB. In practice, decomposition methods are sometimes the only possibility to compute high-quality solutions of large-scale optimization problems. However, efficient implementations may .

Singular value decomposition (SVD) is a well known approach to the problem of solving large ill-conditioned linear systems [16] [49]. We state SVD without proof and recommend [50] [51] [52] for a more rigorous treatment. Theorem. Singular Value Decomposition. If A ∈ ℜ m × n then the singular value decomposition of A is. The first decomposition method to solve large scale con- strained numerical optimization problems (LSCNOP) is an extension of Sayed's work (DI) [9]. Get this from a library! Optimization in large scale problems: Industry and Society applications. [Mahdi Fathi; Marzieh Khakifirooz; P M Pardalos;] -- This volume provides resourceful thinking and insightful management solutions to the many challenges that decision makers face in their predictions, preparations, and implementations of the key. A novel parallel decomposition algorithm is developed for large, multistage stochastic optimization problems. The method decomposes the problem into subproblems that correspond to scenarios. The subproblems are modified by separable quadratic terms to coordinate the scenario by:

PARALLEL DECOMPOSITION PROCEDURES FOR LARGE-SCALE LINEAR PROGRAMMING PROBLEMS Yusong Hu Old Dominion University, Director: Dr. Due T. Nguyen In practice, many large-scale linear programming problems are too large to be solved effectively due to the computer's speed and/or memory limitation, even though today'sAuthor: Yusong Hu. This paper studies an inexact perturbed path-following algorithm in the framework of Lagrangian dual decomposition for solving large-scale separable convex programming problems. Unlike the exact versions considered in the literature, we propose solving the primal subproblems inexactly up to a given accuracy. This leads to an inexactness of the gradient vector and the Hessian Cited by: The stack mechanism for decomposition-coordination of large scale convex programming problems, which is an important design feature of our proposed algorithm can be understood while presenting the algorithm itself as follows: Initialization: 1. Read the data of (LSP) including the initial guess of the problem solution and the coordinator Cited by: 2. In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. The large scale optimization methods are represented by various theories such as Benders’ decomposition, logic-based Benders’ decomposition, Lagrangian relaxation, Dantzig –Wolfe.