Author: Kurt Marti Publisher: Springer ISBN: 3662462141 Category : Business & Economics Languages : en Pages : 389
Book Description
This book examines optimization problems that in practice involve random model parameters. It details the computation of robust optimal solutions, i.e., optimal solutions that are insensitive with respect to random parameter variations, where appropriate deterministic substitute problems are needed. Based on the probability distribution of the random data and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into appropriate deterministic substitute problems. Due to the probabilities and expectations involved, the book also shows how to apply approximative solution techniques. Several deterministic and stochastic approximation methods are provided: Taylor expansion methods, regression and response surface methods (RSM), probability inequalities, multiple linearization of survival/failure domains, discretization methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation and gradient procedures and differentiation formulas for probabilities and expectations. In the third edition, this book further develops stochastic optimization methods. In particular, it now shows how to apply stochastic optimization methods to the approximate solution of important concrete problems arising in engineering, economics and operations research.
Author: Kurt Marti Publisher: Springer Science & Business Media ISBN: 3642882676 Category : Business & Economics Languages : en Pages : 189
Book Description
This volume includes a selection of refereed papers presented at the GAMM/IFIP-Workshop on "Stochastic Optimization: Numerical Methods and Technical Applications", held at the Federal Armed Forces University Munich, May 29 - 31, 1990. The objective of this meeting was to bring together scientists from Stochastic Programming and from those Engineering areas, where Mathematical Programming models are common tools, as e. g. Optimal Structural Design, Power Dispatch, Acid Rain Management etc. The first, theoretical part includes the papers by S. D. Flam. H. Niederreiter, E. Poechinger and R. Schultz. The second part on methods and applications contains the articles by N. Baba, N. Grwe and W. Roemisch, J. Mayer, E. A. Mc Bean and A. Vasarhelyi.
Author: J. Dolezal Publisher: Springer ISBN: 0387348972 Category : Computers Languages : en Pages : 635
Book Description
Proceedings volume contains carefully selected papers presented during the 17th IFIP Conference on System Modelling and Optimization. Optimization theory and practice, optimal control, system modelling, stochastic optimization, and technical and non-technical applications of the existing theory are among areas mostly addressed in the included papers. Main directions are treated in addition to several survey papers based on invited presentations of leading specialists in the respective fields. Publication provides state-of-the-art in the area of system theory and optimization and points out several new areas (e.g fuzzy set, neural nets), where classical optimization topics intersects with computer science methodology.
Author: D. Lloyd Smith Publisher: Springer ISBN: 3709126185 Category : Technology & Engineering Languages : en Pages : 433
Book Description
Civil engineering structures tend to be fabricated from materials that respond elastically at normal levels of loading. Most such materials, however, would exhibit a marked and ductile inelasticity if the structure were overloaded by accident or by some improbable but naturally occuring phenomeon. Indeed, the very presence of such ductility constitutes an important safety provision for large-scale constructions where human life is at risk. In the comprehensive evaluation of safety in structural design, it is therefore unrealistic not to consider the effects of ductility. This book sets out to show that the bringing together of the theory and methods of mathematical programming with the mathematical theory of plasticity furnishes a model which has a unifying theoretical nature and is entirely representative of observed structural behaviour. The contents of the book provide a review of the relevant aspects of mathematical programming and plasticity theory, together with a detailed presentation of the most interesting and potentially useful applications in both framed and continuum structures: ultimate strength and elastoplastic deformability; shakedown and practical upper bounds on deformation measures; evolutive dynamic response; large displacements and instability; stochastic and fuzzy programming for representing uncertainty in ultimate strength calculations. Besides providing a ready fund of computational algorithms, mathematical programming invests applications in mechanics with a refined mathematical formalism, rich in fundamental theorems, which often gives addi- tional insight into known results and occasionally lead to new ones. In addition to its obvious practical utility, the educational value of the material thoroughly befits a university discipline.
Author: Guiliano Augusti Publisher: CRC Press ISBN: 1482267454 Category : Architecture Languages : en Pages : 585
Book Description
This book presents the most important applications of probablistic and statistical approaches and procedures to structural engineering.
Author: Kurt Marti Publisher: Springer ISBN: Category : Business & Economics Languages : en Pages : 380
Book Description
Optimization problems arising in practice mostly contain several random parameters. Hence, in order to get robust optimal solutions with respect to random parameter variations, the available statistical information about the random data should be considered already at the planning phase. Thus, the original problem with random coefficients must be replaced by an appropriate deterministic substitute problem. This proceedings volume of the 4th GAMM/IFIP-Workshop on "Stochastic Optimization: Numerical Methods and Technical Applications" held June 27-29, 2000 at the Federal Armed Forces University Munich, Neubiberg/Munich contains new methods for the approximation and numerical solution of deterministic substitute problems, especially the handling of mean value and probability functions as objective and/or constraint functions. Moreover, many concrete applications from engineering and operations research can be found in this book.
Author: Kurt Marti Publisher: Springer Science & Business Media ISBN: 3642882722 Category : Business & Economics Languages : en Pages : 360
Book Description
New theoretical insight into several branches of reliability-oriented optimization of stochastic systems, new computational approaches and technical/economic applications of stochastic programming methods can be found in this volume.
Author: Kurt Marti Publisher: Springer Science & Business Media ISBN: 3642457673 Category : Mathematics Languages : en Pages : 448
Book Description
Optimization problems arising in practice usually contain several random parameters. Hence, in order to obtain optimal solutions being robust with respect to random parameter variations, the mostly available statistical information about the random parameters should be considered already at the planning phase. The original problem with random parameters must be replaced by an appropriate deterministic substitute problem, and efficient numerical solution or approximation techniques have to be developed for those problems. This proceedings volume contains a selection of papers on modelling techniques, approximation methods, numerical solution procedures for stochastic optimization problems and applications to the reliability-based optimization of concrete technical or economic systems.
Author: Kurt Marti
Author: Kurt Marti
Author: J. Dolezal
Author: D. Lloyd Smith
Author: Guiliano Augusti
Author: 
Author: Kurt Marti
Author: International Association for Bridge and Structural Engineering
Author: Kurt Marti
Author: Kurt Marti