Multilevel Optimization Algorithms And Applications PDF Download
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Author | : A. Migdalas |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461303079 |
Download Multilevel Optimization: Algorithms and Applications Book in PDF, ePub and Kindle
Researchers working with nonlinear programming often claim "the word is non linear" indicating that real applications require nonlinear modeling. The same is true for other areas such as multi-objective programming (there are always several goals in a real application), stochastic programming (all data is uncer tain and therefore stochastic models should be used), and so forth. In this spirit we claim: The word is multilevel. In many decision processes there is a hierarchy of decision makers, and decisions are made at different levels in this hierarchy. One way to handle such hierar chies is to focus on one level and include other levels' behaviors as assumptions. Multilevel programming is the research area that focuses on the whole hierar chy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of opti mization problems which must be solved in a predetermined sequence. If only two levels are considered, we have one leader (associated with the upper level) and one follower (associated with the lower level).
Author | : Athanasia Karakitsiou |
Publisher | : |
Total Pages | : 115 |
Release | : 2007 |
Genre | : |
ISBN | : |
Download Special Issue: Multilevel Optimization ; Algorithms and Applications Book in PDF, ePub and Kindle
Author | : Jingsheng Jason Cong |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2013-03-14 |
Genre | : Technology & Engineering |
ISBN | : 1475737483 |
Download Multilevel Optimization in VLSICAD Book in PDF, ePub and Kindle
In the last few decades, multiscale algorithms have become a dominant trend in large-scale scientific computation. Researchers have successfully applied these methods to a wide range of simulation and optimization problems. This book gives a general overview of multiscale algorithms; applications to general combinatorial optimization problems such as graph partitioning and the traveling salesman problem; and VLSICAD applications, including circuit partitioning, placement, and VLSI routing. Additional chapters discuss optimization in reconfigurable computing, convergence in multilevel optimization, and model problems with PDE constraints. Audience: Written at the graduate level, the book is intended for engineers and mathematical and computational scientists studying large-scale optimization in electronic design automation.
Author | : William W. Hager |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2006-06-18 |
Genre | : Mathematics |
ISBN | : 038729550X |
Download Multiscale Optimization Methods and Applications Book in PDF, ePub and Kindle
As optimization researchers tackle larger and larger problems, scale interactions play an increasingly important role. One general strategy for dealing with a large or difficult problem is to partition it into smaller ones, which are hopefully much easier to solve, and then work backwards towards the solution of original problem, using a solution from a previous level as a starting guess at the next level. This volume contains 22 chapters highlighting some recent research. The topics of the chapters selected for this volume are focused on the development of new solution methodologies, including general multilevel solution techniques, for tackling difficult, large-scale optimization problems that arise in science and industry. Applications presented in the book include but are not limited to the circuit placement problem in VLSI design, a wireless sensor location problem, optimal dosages in the treatment of cancer by radiation therapy, and facility location.
Author | : El Mostafa Kalmoun |
Publisher | : UUM Press |
Total Pages | : 75 |
Release | : 2012-01-01 |
Genre | : Science |
ISBN | : 9670474272 |
Download Multilevel Optimization for Dense Motion Estimation (UUM Press) Book in PDF, ePub and Kindle
This monograph offers design for fast and reliable technique in the dense motion estimation. This Multilevel Optimization for Dense Motion Estimation work blends both theory and applications to equip reader with an understanding of basic concepts necessary to apply in solving dense motion in a sequence of images. Illustrating well-known variation models for dealing with optical flow estimation, this monograph introduces variation models with applications. A host of variation models are outlines such as Horn-Schunck model, Contrast Invariation Models and Models for Large Displacement. Special attention is also given to multilevel optimization techniques namely multiresolution and multigrid methods to improve the convergence of the global optimum when compared to using only one level resolution in the context of computer vision. This monograph is a robust resource that provides insightful introduction to the field of image processing with its theory and applications. Overall, Multilevel Optimization for Dense Motion Estimation is highly recommended for scientists and engineers for an excellent choice for references and self-study.
Author | : Guangquan Zhang |
Publisher | : Springer |
Total Pages | : 385 |
Release | : 2015-02-07 |
Genre | : Technology & Engineering |
ISBN | : 3662460599 |
Download Multi-Level Decision Making Book in PDF, ePub and Kindle
This monograph presents new developments in multi-level decision-making theory, technique and method in both modeling and solution issues. It especially presents how a decision support system can support managers in reaching a solution to a multi-level decision problem in practice. This monograph combines decision theories, methods, algorithms and applications effectively. It discusses in detail the models and solution algorithms of each issue of bi-level and tri-level decision-making, such as multi-leaders, multi-followers, multi-objectives, rule-set-based, and fuzzy parameters. Potential readers include organizational managers and practicing professionals, who can use the methods and software provided to solve their real decision problems; PhD students and researchers in the areas of bi-level and multi-level decision-making and decision support systems; students at an advanced undergraduate, master’s level in information systems, business administration, or the application of computer science.
Author | : Natalia Alexandrov |
Publisher | : |
Total Pages | : 19 |
Release | : 1994 |
Genre | : Algorithms |
ISBN | : |
Download Multilevel Algorithms for Nonlinear Optimization Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 14 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download Engineering Applications of Heuristic Multilevel Optimization Methods Book in PDF, ePub and Kindle
Author | : Natalia Alexandrov |
Publisher | : |
Total Pages | : 20 |
Release | : 1994 |
Genre | : Algorithms |
ISBN | : |
Download Algorithms for Bilevel Optimization Book in PDF, ePub and Kindle
Author | : National Aeronautics and Space Adm Nasa |
Publisher | : |
Total Pages | : 28 |
Release | : 2018-10-22 |
Genre | : |
ISBN | : 9781729092323 |
Download Multilevel Algorithms for Nonlinear Optimization Book in PDF, ePub and Kindle
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characterized by a large number of constraints that naturally occur in blocks. We propose a class of multilevel optimization methods motivated by the structure and number of constraints and by the expense of the derivative computations for MDO. The algorithms are an extension to the nonlinear programming problem of the successful class of local Brown-Brent algorithms for nonlinear equations. Our extensions allow the user to partition constraints into arbitrary blocks to fit the application, and they separately process each block and the objective function, restricted to certain subspaces. The methods use trust regions as a globalization strategy, and they have been shown to be globally convergent under reasonable assumptions. The multilevel algorithms can be applied to all classes of MDO formulations. Multilevel algorithms for solving nonlinear systems of equations are a special case of the multilevel optimization methods. In this case, they can be viewed as a trust-region globalization of the Brown-Brent class. Alexandrov, Natalia and Dennis, J. E., Jr. Unspecified Center NAS1-18605; NAS1-19480; F49620-92-J-0203; DE-FG05-86ER-25017; NSF CCR-91-20008; AF-AFOSR-0363-89; RTOP 505-90-52-01...