Computing Methods In Optimization Problems

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Computing Methods in Optimization Problems

Author : A. V. Balakrishnan,Lucien W. Neustadt
Publisher : Academic Press
Page : 338 pages
File Size : 46,8 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483223155

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Computing Methods in Optimization Problems by A. V. Balakrishnan,Lucien W. Neustadt Pdf

Computing Methods in Optimization Problems deals with hybrid computing methods and optimization techniques using computers. One paper discusses different numerical approaches to optimizing trajectories, including the gradient method, the second variation method, and a generalized Newton-Raphson method. The paper cites the advantages and disadvantages of each method, and compares the second variation method (a direct method) with the generalized Newton-Raphson method (an indirect method). An example problem illustrates the application of the three methods in minimizing the transfer time of a low-thrust ion rocket between the orbits of Earth and Mars. Another paper discusses an iterative process for steepest-ascent optimization of orbit transfer trajectories to minimize storage requirements such as in reduced memory space utilized in guidance computers. By eliminating state variable storage and control schedule storage, the investigator can achieve reduced memory requirements. Other papers discuss dynamic programming, invariant imbedding, quasilinearization, Hilbert space, and the computational aspects of a time-optimal control problem. The collection is suitable for computer programmers, engineers, designers of industrial processes, and researchers involved in aviation or control systems technology.

Computing Methods in Optimization Problems

Author : G. Arienti,A. Colonelli Daneri,M. Auslender,E. J. Beltrami,L. F. Buchanan,A. R. Stubberud,Philippe A. Clavier,R. Cosaert,E. Gottzein,A. De Maio,G. Guardabassi,A. Locatelli,S. Rinaldi,Mark Enns,H. O. Fattorini,Jean Fave,F. Caroti Ghelli,D. H. Jacobson,S. Kau,K. S. P. Kumar,Henry J. Kelley,Walter F. Denham,Angelo Miele,Radivoj Petrovi?,J. K. Skwirzynski,R. G. Stefanek,P. V. Kokotovi?,L. E. Weaver,D. G. Schultz
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 43,5 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9783642859748

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Computing Methods in Optimization Problems by G. Arienti,A. Colonelli Daneri,M. Auslender,E. J. Beltrami,L. F. Buchanan,A. R. Stubberud,Philippe A. Clavier,R. Cosaert,E. Gottzein,A. De Maio,G. Guardabassi,A. Locatelli,S. Rinaldi,Mark Enns,H. O. Fattorini,Jean Fave,F. Caroti Ghelli,D. H. Jacobson,S. Kau,K. S. P. Kumar,Henry J. Kelley,Walter F. Denham,Angelo Miele,Radivoj Petrovi?,J. K. Skwirzynski,R. G. Stefanek,P. V. Kokotovi?,L. E. Weaver,D. G. Schultz Pdf

Computing Methods in Optimization Problems

Author : Lotfi A. Zadeh
Publisher : Unknown
Page : 0 pages
File Size : 49,9 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:301538475

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Computing Methods in Optimization Problems by Lotfi A. Zadeh Pdf

Computing Methods in Optimization Problems

Author : A. V. Balakrishnan,Lucien W. Neustadt
Publisher : Unknown
Page : 348 pages
File Size : 44,6 Mb
Release : 1964
Category : Mathematics
ISBN : UOM:39015000981624

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Computing Methods in Optimization Problems by A. V. Balakrishnan,Lucien W. Neustadt Pdf

Variational theory and optimal control theory / Magnus R. Hestenes -- On the computation of the optimal temperature profile in a tubular reaction vessel / C. Storey and H.H. Rosenbrock -- Several trajectory optimization techniques / R.E. Kopp and R. McGill, H. Gardner Moyer and Gordon Pinkham -- A steepest ascent trajectory optimization method which reduces memory requirements / R.H. Hillsley and H.M. Robbins -- Dynamic programming, invariant imbedding and quasi-linearization: comparisons and interconnections / R. Bellman and R. Kalaba -- A comparison between some methods for computing optimum paths in the problem of Bolza / Frank D. Faulkner -- Minimizing functionals on Hilbert space / A.A. Goldstein -- Computational aspects of the time-optimal control problem / Edward J. Fadden and Elmer G. Gilbert -- An on-line identification scheme for multivariable nonlinear systems / H.C. Hsieh -- Method of convex ascent / Hubert Halkin -- Study of an algorithm for dynamic optimization / R. Perret and R. Rouxel -- The application of hybrid computers to the iterative solution of optimal control problems / Elmer G. Gilbert -- Synthesis of optimal controllers using hybrid analog-digital computers / B. Paiewonsky, P. Woodrow, W. Brunner, and P. Halbert -- Gradient methods for the optimization of dynamic system parameters by hybrid computation / George A. Bekey and Robert B. McGhee.

Computing Methods in Optimization Problems

Author : Lotfi Asker Zadeh,Lucien W. Neustadt,A. V. Balakrishnan
Publisher : Unknown
Page : 416 pages
File Size : 55,7 Mb
Release : 1969
Category : Mathematics
ISBN : STANFORD:36105031264273

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Computing Methods in Optimization Problems by Lotfi Asker Zadeh,Lucien W. Neustadt,A. V. Balakrishnan Pdf

Computing Methods in Optimization Problems

Author : A. V. Balakrishnan,Lucien W. Neustadt
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:728974553

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Computing Methods in Optimization Problems by A. V. Balakrishnan,Lucien W. Neustadt Pdf

Computing Methods in Optimization Problems, 2: Papers Presented at a Conference Held at San Remo, Italy, September 9-13, 1968

Author : International conference on computing methods in optimization problems, 2nd (san remo, 1968. z)
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 2024-06-10
Category : Electronic
ISBN : OCLC:1417535262

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Computing Methods in Optimization Problems, 2: Papers Presented at a Conference Held at San Remo, Italy, September 9-13, 1968 by International conference on computing methods in optimization problems, 2nd (san remo, 1968. z) Pdf

Computing Methods in Optimization Problems

Author : Conference on Computing Methods in Optimization Problems
Publisher : Unknown
Page : 327 pages
File Size : 48,8 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:878816151

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Computing Methods in Optimization Problems by Conference on Computing Methods in Optimization Problems Pdf

State of the Art in Global Optimization

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 47,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461334378

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State of the Art in Global Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

Optimization problems abound in most fields of science, engineering, and tech nology. In many of these problems it is necessary to compute the global optimum (or a good approximation) of a multivariable function. The variables that define the function to be optimized can be continuous and/or discrete and, in addition, many times satisfy certain constraints. Global optimization problems belong to the complexity class of NP-hard prob lems. Such problems are very difficult to solve. Traditional descent optimization algorithms based on local information are not adequate for solving these problems. In most cases of practical interest the number of local optima increases, on the aver age, exponentially with the size of the problem (number of variables). Furthermore, most of the traditional approaches fail to escape from a local optimum in order to continue the search for the global solution. Global optimization has received a lot of attention in the past ten years, due to the success of new algorithms for solving large classes of problems from diverse areas such as engineering design and control, computational chemistry and biology, structural optimization, computer science, operations research, and economics. This book contains refereed invited papers presented at the conference on "State of the Art in Global Optimization: Computational Methods and Applications" held at Princeton University, April 28-30, 1995. The conference presented current re search on global optimization and related applications in science and engineering. The papers included in this book cover a wide spectrum of approaches for solving global optimization problems and applications.

Computational Optimization, Methods and Algorithms

Author : Slawomir Koziel,Xin-She Yang
Publisher : Springer
Page : 292 pages
File Size : 40,6 Mb
Release : 2011-06-17
Category : Technology & Engineering
ISBN : 9783642208591

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Computational Optimization, Methods and Algorithms by Slawomir Koziel,Xin-She Yang Pdf

Computational optimization is an important paradigm with a wide range of applications. In virtually all branches of engineering and industry, we almost always try to optimize something - whether to minimize the cost and energy consumption, or to maximize profits, outputs, performance and efficiency. In many cases, this search for optimality is challenging, either because of the high computational cost of evaluating objectives and constraints, or because of the nonlinearity, multimodality, discontinuity and uncertainty of the problem functions in the real-world systems. Another complication is that most problems are often NP-hard, that is, the solution time for finding the optimum increases exponentially with the problem size. The development of efficient algorithms and specialized techniques that address these difficulties is of primary importance for contemporary engineering, science and industry. This book consists of 12 self-contained chapters, contributed from worldwide experts who are working in these exciting areas. The book strives to review and discuss the latest developments concerning optimization and modelling with a focus on methods and algorithms for computational optimization. It also covers well-chosen, real-world applications in science, engineering and industry. Main topics include derivative-free optimization, multi-objective evolutionary algorithms, surrogate-based methods, maximum simulated likelihood estimation, support vector machines, and metaheuristic algorithms. Application case studies include aerodynamic shape optimization, microwave engineering, black-box optimization, classification, economics, inventory optimization and structural optimization. This graduate level book can serve as an excellent reference for lecturers, researchers and students in computational science, engineering and industry.

Computational Methods for Optimizing Manufacturing Technology: Models and Techniques

Author : Davim, J. Paulo
Publisher : IGI Global
Page : 464 pages
File Size : 49,8 Mb
Release : 2012-02-29
Category : Technology & Engineering
ISBN : 9781466601291

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Computational Methods for Optimizing Manufacturing Technology: Models and Techniques by Davim, J. Paulo Pdf

"This book contains the latest research developments in manufacturing technology and its optimization, and demonstrates the fundamentals of new computational approaches and the range of their potential application"--Provided by publisher.

Optimization Methods and Applications

Author : Xiao-qi Yang,Kok Lay Teo,Lou Caccetta
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 53,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475733334

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Optimization Methods and Applications by Xiao-qi Yang,Kok Lay Teo,Lou Caccetta Pdf

This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.

Bioinspired Computation in Combinatorial Optimization

Author : Frank Neumann,Carsten Witt
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 42,7 Mb
Release : 2010-11-04
Category : Mathematics
ISBN : 9783642165443

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Bioinspired Computation in Combinatorial Optimization by Frank Neumann,Carsten Witt Pdf

Bioinspired computation methods such as evolutionary algorithms and ant colony optimization are being applied successfully to complex engineering problems and to problems from combinatorial optimization, and with this comes the requirement to more fully understand the computational complexity of these search heuristics. This is the first textbook covering the most important results achieved in this area. The authors study the computational complexity of bioinspired computation and show how runtime behavior can be analyzed in a rigorous way using some of the best-known combinatorial optimization problems -- minimum spanning trees, shortest paths, maximum matching, covering and scheduling problems. A feature of the book is the separate treatment of single- and multiobjective problems, the latter a domain where the development of the underlying theory seems to be lagging practical successes. This book will be very valuable for teaching courses on bioinspired computation and combinatorial optimization. Researchers will also benefit as the presentation of the theory covers the most important developments in the field over the last 10 years. Finally, with a focus on well-studied combinatorial optimization problems rather than toy problems, the book will also be very valuable for practitioners in this field.