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检索条件"丛书名=Nonconvex Optimization and Its Applications"

共 105 条记录，以下是91-100 订阅

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optimization Methods for a Stakeholder Society 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Willem K. Brauers

ISBN: (数字)9781441991782

ISBN: (纸本)9781402076817;9781461348245

For both public and private managers, the book;is today's key to answer the problem of a sustainable development world. This world has to take into account the meaning of all stakeholders involved and has to reconcile a number of objectives, such as economic growth, employment and preservation of the ecosystem. Traditional methods, such as cost-benefit, are outmoded as they translate all these objectives into monetary costs, a materialistic approach. On the contrary, objectives have rather to stick to their own units, eventually indicators.

关键词： Operations Research/Decision Theory Finance, general Atmospheric Protection/Air Quality Control/Air Pollution optimization

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Vector Variational Inequalities and Vector Equilibria 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Franco Giannessi

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State of the Art in Global optimization 1

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丛书名： nonconvex optimization and its applications

1000年

作者： C. A. Floudas P. M. Pardalos

ISBN: (数字)9781461334378

ISBN: (纸本)9780792338383;9781461334392

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.

关键词： Mathematical Modeling and Industrial Mathematics Engineering, general Industrial Chemistry/Chemical Engineering Systems Theory, Control

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Semi-Infinite Programming 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Miguel Á. Goberna Marco A. López

ISBN: (数字)9781475734034

ISBN: (纸本)9781402000324;9781441952042

Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields.;The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems.;This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

关键词： Software Engineering/Programming and Operating Systems Probability Theory and Stochastic Processes applications of Mathematics optimization Mathematical Modeling and Industrial Mathematics Mathematics of Computing

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Minimax Theory and applications 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Biagio Ricceri Stephen Simons

ISBN: (数字)9789401591133

ISBN: (纸本)9780792350644;9789048150304

The present volume contains the proceedings of the workshop on "Minimax Theory and applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.

关键词： Functional Analysis optimization Topology Operator Theory Game Theory, Economics, Social and Behav. Sciences

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nonconvex optimization in Mechanics 1

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丛书名： nonconvex optimization and its applications

1000年

作者： E. S. Mistakidis G. E. Stavroulakis

ISBN: (数字)9781461558293

ISBN: (纸本)9780792348122;9781461376729

nonconvexity and nonsmoothness arise in a large class of engineering applica tions. In many cases of practical importance the possibilities offered by opti mization with its algorithms and heuristics can substantially improve the per formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-date scientific and technical literature so that to be able to work on research or engineering topics which are not directly covered here.

关键词： Mechanical Engineering Mathematical and Computational Engineering optimization Civil Engineering Solid Mechanics applications of Mathematics

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Minimax and applications 1

引用

丛书名： nonconvex optimization and its applications

1000年

作者： Ding-Zhu Du Panos M. Pardalos

ISBN: (数字)9781461335573

ISBN: (纸本)9780792336150;9781461335597

Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.

关键词： Algorithms Discrete Mathematics in Computer Science Computational Mathematics and Numerical Analysis

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Handbook of Global optimization 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Reiner Horst Panos M. Pardalos

ISBN: (数字)9781461520252

ISBN: (纸本)9780792331209;9781461358381

Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted.;The;is the first comprehensive book to cover recent developments in global optimization. Each contribution in the;is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches.;The;is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

关键词： optimization Computational Mathematics and Numerical Analysis Algorithms Operations Research/Decision Theory Mathematics Education

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Nonsmooth Approach to optimization Problems with Equilibrium Constraints 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Jiři Outrata Michal Kočvara Jochem Zowe

ISBN: (数字)9781475728255

ISBN: (纸本)9780792351702;9781441948045

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

关键词： Calculus of Variations and Optimal Control optimization optimization Operations Research, Management Science Operations Research/Decision Theory

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Deterministic Global optimization 1

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丛书名： nonconvex optimization and its applications

1000年

作者： Christodoulos A. Floudas

ISBN: (数字)9781475749496

ISBN: (纸本)9780792360148;9781441948205

The vast majority of important applications in science, engineering and applied science are characterized by the existence of multiple minima and maxima, as well as first, second and higher order saddle points. The area of Deterministic Global optimization introduces theoretical, algorithmic and computational ad vances that (i) address the computation and characterization of global minima and maxima, (ii) determine valid lower and upper bounds on the global minima and maxima, and (iii) address the enclosure of all solutions of nonlinear con strained systems of equations. Global optimization applications are widespread in all disciplines and they range from atomistic or molecular level to process and product level representations. The primary goal of this book is three fold : first, to introduce the reader to the basics of deterministic global optimization; second, to present important theoretical and algorithmic advances for several classes of mathematical prob lems that include biconvex and bilinear; problems, signomial problems, general twice differentiable nonlinear problems, mixed integer nonlinear problems, and the enclosure of all solutions of nonlinear constrained systems of equations; and third, to tie the theory and methods together with a variety of important applications.

关键词： optimization Software Engineering/Programming and Operating Systems Probability Theory and Stochastic Processes Automotive Engineering Classical Mechanics Industrial Chemistry/Chemical Engineering

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