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An Investigation Of The Analysis And Optimization Of Large Structures By Decomposition
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Book Synopsis An Investigation of the Analysis and Optimization of Large Structures by Decomposition by : Jacobsmeyer Hugo Aaron
Download or read book An Investigation of the Analysis and Optimization of Large Structures by Decomposition written by Jacobsmeyer Hugo Aaron and published by . This book was released on 1999 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Structure and Decomposition of Large Scale Systems by : Dionyssios Spyridona Evangelatos
Download or read book Analysis of Structure and Decomposition of Large Scale Systems written by Dionyssios Spyridona Evangelatos and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Optimization of Large Scale Systems Using Decomposition Techniques by : Vinay Dhirajlal Bhatt
Download or read book Structural Optimization of Large Scale Systems Using Decomposition Techniques written by Vinay Dhirajlal Bhatt and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-scale Optimization by : Vladimir Tsurkov
Download or read book Large-scale Optimization written by Vladimir Tsurkov and published by Springer Science & Business Media. This book was released on 2001-03-31 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decomposition methods aim to reduce large-scale problems to simpler problems. This monograph presents selected aspects of the dimension-reduction problem. Exact and approximate aggregations of multidimensional systems are developed and from a known model of input-output balance, aggregation methods are categorized. The issues of loss of accuracy, recovery of original variables (disaggregation), and compatibility conditions are analyzed in detail. The method of iterative aggregation in large-scale problems is studied. For fixed weights, successively simpler aggregated problems are solved and the convergence of their solution to that of the original problem is analyzed. An introduction to block integer programming is considered. Duality theory, which is widely used in continuous block programming, does not work for the integer problem. A survey of alternative methods is presented and special attention is given to combined methods of decomposition. Block problems in which the coupling variables do not enter the binding constraints are studied. These models are worthwhile because they permit a decomposition with respect to primal and dual variables by two-level algorithms instead of three-level algorithms. Audience: This book is addressed to specialists in operations research, optimization, and optimal control.
Book Synopsis Large-Scale PDE-Constrained Optimization by : Lorenz T. Biegler
Download or read book Large-Scale PDE-Constrained Optimization written by Lorenz T. Biegler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.
Book Synopsis Optimal Analysis of Structures by Concepts of Symmetry and Regularity by : Ali Kaveh
Download or read book Optimal Analysis of Structures by Concepts of Symmetry and Regularity written by Ali Kaveh and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.
Book Synopsis Overcoming the Bellman's Curse of Dimensionality in Large Optimization Problems by :
Download or read book Overcoming the Bellman's Curse of Dimensionality in Large Optimization Problems written by and published by . This book was released on 1990 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Decomposition Method for Large Structured Non-linear Programs by : Klaus Ritter
Download or read book A Decomposition Method for Large Structured Non-linear Programs written by Klaus Ritter and published by . This book was released on 1967 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: A decomposition method for large non-linear programming problems with structural linear constraints is described. The method can be applied to problems with a block diagonal structure and both coupling constraints and coupling variables. (Author).
Book Synopsis Discretization Methods and Structural Optimization — Procedures and Applications by : Hans A. Eschenauer
Download or read book Discretization Methods and Structural Optimization — Procedures and Applications written by Hans A. Eschenauer and published by Springer. This book was released on 1989-03-23 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this GAMM-Seminar is research in the field of discretization methods and structural optimization. The topics are procedures, strategies and algorithms for structural optimization based on modern discretization techniques. In particular, sensitivity and mesh-generation, large-scale structural systems and decomposition for finite element systems are covered. Structural optimization is presented as multipurpose and multistage optimization. Optimal design and shape optimization are treated in analytical form and as an interactive process. Finally, knowledge-based algorithms for design optimization and expert systems are discussed.
Book Synopsis Data-driven Structure Detection in Optimization by : Taghi Khaniyev
Download or read book Data-driven Structure Detection in Optimization written by Taghi Khaniyev and published by . This book was released on 2018 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing data-driven methods to efficiently solve practical and large optimization problems is a recent trend that focuses on identifying patterns and structures in the problem data to help with its solution. In this thesis, we investigate this approach as an alternative to tackle real life large scale optimization problems which are hard to solve via traditional optimization techniques. We look into three different levels on which data-driven approaches can be used for optimization problems. The first level is the highest level, namely, model structure. Certain classes of mixed-integer programs are known to be efficiently solvable by exploiting special structures embedded in their constraint matrices. One such structure is the bordered block diagonal (BBD) structure that lends itself to Dantzig-Wolfe reformulation (DWR) and branch-and-price. Given a BBD structure for the constraint matrix of a general MIP, several platforms (such as COIN/DIP, SCIP/GCG and SAS/ DECOMP) exist that can perform automatic DWR of the problem and solve the MIP using branch-and-price. The challenge of using branch-and-price as a general-purpose solver, however, lies in the requirement of the knowledge of a structure a priori. We propose a new algorithm to automatically detect BBD structures inherent in a matrix. We start by introducing a new measure of goodness to capture desired features in BBD structures such as minimal border size, block cohesion and granularity of the structure. The main building block of the proposed approach is the modularity-based community detection in lieu of traditional graph/hypergraph partitioning methods to alleviate one major drawback of the existing approaches in the literature: predefining the number of blocks. When tested on MIPLIB instances using the SAS/DECOMP framework, the proposed algorithm was found to identify structures that, on average, lead to significant improvements both in computation time and optimality gap compared to those detected by the state-of-the-art BBD detection techniques in the literature. The second level is problem type where problem-specific patterns/characteristics are to be detected and exploited. We investigate hub location problem (HLP) as an example. HLP models the problem of selecting a subset of nodes within a given network as hubs, which enjoy economies of scale, and allocating the remaining nodes to the selected hubs. The main challenge of using HLP in certain promising domains is the inability of current solution approaches to handle large instances (e.g., networks with more than 1000 nodes). In this work, we explore an important pattern in the optimal hub networks: spatial separability. We show that at the optimal solutions, nodes are typically partitioned into allocation clusters in such a way that convex hulls of these clusters are disjoint. We exploit this pattern and propose a new data-driven approach that uses the insights generated from the solution of a smaller problem - low resolution representation - to find high quality solutions for the large HLPs. The third and the lowest level is the instance level where the instance-specific data is explored for patterns that would help solution of large problem instances. To this end, we open up a new application of HLPs originating from human brain connectivity networks (BCN) by introducing the largest (with 998 nodes) and the first three-dimensional dataset in the literature so far. Experiments reveal that the HLP models can successfully reproduce similar results to those in the medical literature related to hub organisation of the brain. We conclude that with certain customizations and methods that allow tackling very large instances, HLP models can potentially become an important tool to further investigate the intricate nature of hub organisations in human brain.
Book Synopsis Parallel Methods on Large-scale Structural Analysis and Physics Applications by :
Download or read book Parallel Methods on Large-scale Structural Analysis and Physics Applications written by and published by . This book was released on 1991 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimization Analysis for Design and Planning of Multi-Project Programs by : Victor D. Wiley
Download or read book Optimization Analysis for Design and Planning of Multi-Project Programs written by Victor D. Wiley and published by . This book was released on 1996-03-01 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Program Management concerns the long-term planning, coordination, and control of major technological, engineering, scientific, and/or developmental activities. In general, programs tend to be exceptionally large, consisting of several parallel or sequential projects or groups of projects. While many of the approaches developed for projects have been used in program management, there are critical differences between programs and projects. A key difference is the magnitude of programs, both in program duration and number of tasks to be coordinated. In addition, project parameters are driven by program decisions. While a large number of modeling efforts have focused at the project level, very - little optimization literature deals directly with aspects of initial program design and development. This thesis effort looks at the application of optimization techniques to the initial design and development of multi-project programs. The classic work breakdown structure is used as a framework for Dantzig-Wolfe Decomposition to provide an aggregate model for investigating the effects of funding levels, resource allocation, and program durations.
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 1994 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Search Landscape Analysis in Design Optimization of Optical Structures by : Sacha Verweij
Download or read book Search Landscape Analysis in Design Optimization of Optical Structures written by Sacha Verweij and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematic design optimization of optical structures is opening new and advancing existing frontiers in the control of light. To exploit systematic design optimization's full potential in optics, search methods capable of efficiently sifting large design spaces are critical. The degree to which a search method exploits problem structure determines its efficacy. Thus, in the methodical analysis that is often key to understanding, and thereby ultimately improving, search behavior, analysis of problem structure -- or search landscape analysis -- is a crucial component. Despite this, search landscape analysis is largely absent from the otherwise-rapidly-growing literature on search methods in design optimization of optical structures. In this dissertation, we first illustrate how search landscape analysis can provide insight into both search behavior and underlying problem structure in design optimization in optics. To this end, we present a case study in which search landscape analysis sheds light on the surprisingly good performance of a simple search method on a challenging problem. In the process, this case study also reveals that design optimization problems in optics possess much more structure than conventional reasoning might suggest, and thereby yields insight potentially valuable in design optimization of a broad class of optical structures. Having observed the former, we then ask how the important parameters in design optimization problems in optics impact search landscape structure, and how understanding that impact informs choice or design of search methods: Achieving specified performance over a prescribed set of frequencies -- single or multiple, narrowly or broadly distributed -- is the typical aim of systematic design optimization in optics; despite the importance of this objective function characteristic, its impact on search behavior remains not well understood. Accordingly, we next explore how bandwidth and band sampling density of objective functions in design optimization problems in optics impact problem structure, and how understanding that impact informs choice or design of search methods. Particularly, we explore some intuition -- that broadband and/or finely frequency-sampled objectives yield more structured problems than narrowband and/or coarsely frequency-sampled counterparts -- and both evidence this intuition and illustrate its practical value in search method design. Capitalizing on insight developed through search landscape analyses of various design optimization problems like those involved in the above investigations, we then introduce a metaheuristic, or high-level strategy, for tailoring general purpose search methods to design optimization problems in optics, and demonstrate its implementation and value via a concrete example. Prior to closing with a discussion of future directions, we pivot slightly to methods that enabled the analysis in the preceding work. Specifically, we describe a broadly applicable method for accelerating simulation of ensembles of locally-differing optical (and other) structures via domain decomposition.
Book Synopsis Structural Optimization: Challenges and Opportunities by :
Download or read book Structural Optimization: Challenges and Opportunities written by and published by . This book was released on 1984 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in Structures and Dynamics, 1984 by :
Download or read book Research in Structures and Dynamics, 1984 written by and published by . This book was released on 1984 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Technology for Large Space Systems by :
Download or read book Technology for Large Space Systems written by and published by . This book was released on 1990 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
