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Rigorous Global Search: Continuous Problems
ISBN: 9781441947628 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology accessible to those who most needed it or could most use it. It is meant to be a self-contained introduction, a reference for the techniques, and a guide to the literature for the underlying theory. It contains pointers to fertile areas for future research. It also serves as introductory documentation for a Fortran 90 software package for nonlinear systems and global optimization. The subject of the monograph is deterministic, automatically verified...
This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology acces...
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602,40 |
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Developments in Global Optimization
ISBN: 9781441947680 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years global optimization has found applications in many interesting areas of science and technology including molecular biology, chemical equilibrium problems, medical imaging and networks. The collection of papers in this book indicates the diverse applicability of global optimization. Furthermore, various algorithmic, theoretical developments and computational studies are presented.
Audience: All researchers and students working in mathematical programming. In recent years global optimization has found applications in many interesting areas of science and technology including molecular biology, chemical e...
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602,40 |
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Convex Analysis and Global Optimization
ISBN: 9781441947833 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of...
Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays a...
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879,56 |
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Operations Research in Transportation Systems: Ideas and Schemes of Optimization Methods for Strategic Planning and Operations Management
ISBN: 9781441948038 / Angielski / Miękka / 440 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The scientific monograph of a survey kind presented to the reader's attention deals with fundamental ideas and basic schemes of optimization methods that can be effectively used for solving strategic planning and operations manage ment problems related, in particular, to transportation. This monograph is an English translation of a considerable part of the author's book with a similar title that was published in Russian in 1992. The material of the monograph embraces methods of linear and nonlinear programming; nonsmooth and nonconvex optimization; integer programming, solving problems on...
The scientific monograph of a survey kind presented to the reader's attention deals with fundamental ideas and basic schemes of optimization methods t...
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803,21 |
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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints: Theory, Applications and Numerical Results
ISBN: 9781441948045 / Angielski / Miękka / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (l...
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602,40 |
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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 9781441948052 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or...
The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique ...
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401,58 |
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Practical Bilevel Optimization: Algorithms and Applications
ISBN: 9781441948076 / Angielski / Miękka / 476 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have been made recently in the solution of large-scale problems arising in such areas as production planning, airline scheduling, government regulation, and engineering design, to name a few. Analysts have found, however, that standard mathematical programming models are often inadequate in these situations because more than a single objective function and a single decision maker are involved. Multiple objective programming deals with the extension of...
The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have be...
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1204,83 |
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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
ISBN: 9781441948083 / Angielski / Miękka / 518 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight...
This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimizati...
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883,53 |
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Handbook of Combinatorial Optimization: Supplement Volume a
ISBN: 9781441948137 / Angielski / Miękka / 648 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math- ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air- line crew scheduling, corporate planning, computer-aided design and man- ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as...
Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math-...
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602,40 |
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Nonlinear Optimization and Related Topics
ISBN: 9781441948236 / Angielski / Miękka / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 23 -July 2, 1998. In the tradition of these meetings, the main purpose was to review and discuss recent advances and promising research trends concerning theory, algorithms and innovative applications in the field of Nonlinear Optimization, and of related topics such as Convex Optimization, Nonsmooth Optimization, Variational Inequalities and Complementarity...
This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchi...
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602,40 |
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Duality Principles in Nonconvex Systems: Theory, Methods and Applications
ISBN: 9781441948250 / Angielski / Miękka / 454 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical...
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to pro...
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602,40 |
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Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches
ISBN: 9781441948267 / Angielski / Miękka / 342 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches covers recent developments in optimization techniques for addressing several computational chemistry and biology problems. A tantalizing problem that cuts across the fields of computational chemistry, biology, medicine, engineering and applied mathematics is how proteins fold. Global and local optimization provide a systematic framework of conformational searches for the prediction of three-dimensional protein structures that represent the global minimum free energy, as well as...
Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches covers recent developments in optimizati...
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602,40 |
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Topological Methods in Complementarity Theory
ISBN: 9781441948281 / Angielski / Miękka / 686 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods.
Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling. Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a ...
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803,21 |
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Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems
ISBN: 9781441948298 / Angielski / Miękka / 581 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. In discrete (or combinatorial) optimization many approaches have been developed recently that link the discrete universe to the continuous universe through geomet- ric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. As a result new ap- proximate algorithms have been discovered and many new computational approaches have been developed....
There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical...
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803,21 |
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Quasidifferentiability and Related Topics
ISBN: 9781441948304 / Angielski / Miękka / 395 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 DIFFERENCES OF CONVEX COMPACTA AND METRIC SPACES OF CON- 263 VEX COMPACTA WITH APPLICATIONS: A SURVEY A. M. Rubinov, A. A. Vladimirov 1 Introduction 264 2 Preliminaries 264 3 Differences of convex compact sets: general approach 266 4 Metric projections and corresponding differences (one-dimensional case) 267 5 The *-difference 269 6 The...
2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-sh...
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Probabilistic Constrained Optimization: Methodology and Applications
ISBN: 9781441948403 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Probabilistic and percentile/quantile functions play an important role in several applications, such as finance (Value-at-Risk), nuclear safety, and the environment. Recently, significant advances have been made in sensitivity analysis and optimization of probabilistic functions, which is the basis for construction of new efficient approaches. This book presents the state of the art in the theory of optimization of probabilistic functions and several engineering and finance applications, including material flow systems, production planning, Value-at-Risk, asset and liability management, and...
Probabilistic and percentile/quantile functions play an important role in several applications, such as finance (Value-at-Risk), nuclear safety, and t...
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401,58 |
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Large-Scale Optimization: Problems and Methods
ISBN: 9781441948489 / Angielski / Miękka / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
Decomposition methods aim to reduce large-scale problems to simpler problems. This monograph presents selected aspects of the dimension-reduction prob...
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602,40 |
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Optimization Methods and Applications
ISBN: 9781441948502 / Angielski / Miękka / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasio...
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803,21 |
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From Local to Global Optimization
ISBN: 9781441948526 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On August 1997 a conference titled "From Local to Global Optimiza tion" was held at Storgarden in Rimfor.sa near the Linkoping Institute of Technology, Sweden. The conference gave us the opportunity to cel ebrate Hoang Thy's achievements in Optimization during his 70 years of life. This book consists of a collection of research papers based on results presented during the conference and are dedicated to Professor Hoang Thy on the occasion of his 70th birthday. The papers cover a wide range of recent results in Mathematical Pro gramming. The work of Hoang Thy, in particular in Global Optimiza...
On August 1997 a conference titled "From Local to Global Optimiza tion" was held at Storgarden in Rimfor.sa near the Linkoping Institute of Technology...
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602,40 |
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Nonlinear Control Systems and Power System Dynamics
ISBN: 9781441948854 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear Control Systems and Power System Dynamics presents a comprehensive description of nonlinear control of electric power systems using nonlinear control theory, which is developed by the differential geometric approach and nonlinear robust control method. This book explains in detail the concepts, theorems and algorithms in nonlinear control theory, illustrated by step-by-step examples. In addition, all the mathematical formulation involved in deriving the nonlinear control laws of power systems are sufficiently presented. Considerations and cautions involved in applying...
Nonlinear Control Systems and Power System Dynamics presents a comprehensive description of nonlinear control of electric power systems using...
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602,40 |
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