» książki » Mathematics - Linear & Nonlinear Programming
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Single-Facility Location Problems with Barriers
ISBN: 9781441930279 / Angielski / Miękka / 202 str. Termin realizacji zamówienia: 22 dni roboczych Everyday life bears a multitude of location problems and locational de- sions. These may be as simple as how best to place a pencil on a desk without having to reach too far and still keeping the work space clear, up to the question of where to place the next out of hundreds of thousands of transistors on a microchip. Some of these questions have easy answers, while others are so complex that not even satisfactory solutions are ava- able, never mind asking for optimized placement. The scales of problems reach from microchip design up to global trade and may demand consid- ation of one, two,...
Everyday life bears a multitude of location problems and locational de- sions. These may be as simple as how best to place a pencil on a desk without ...
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Differentiable Optimization and Equation Solving: A Treatise on Algorithmic Science and the Karmarkar Revolution
ISBN: 9781441930613 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: 22 dni roboczych In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of the resulting, dramatic reorganization that has occurred in one of these areas: algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. The book is aimed at readers familiar with advanced calculus, numerical analysis, in particular...
In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of ne...
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Optimization and Control with Applications
ISBN: 9781441937094 / Angielski / Miękka / 562 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads. A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal cont... |
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Interior Point Methods for Linear Optimization
ISBN: 9781441938879 / Angielski / Miękka / 497 str. Termin realizacji zamówienia: 22 dni roboczych Interior Point Methods for Linear Optimization is a comprehensive, thorough textbook on interior point methods (IPMs). The era of IPMs was initiated by N. Karmarkar s 1984 paper, which triggered turbulent research and reshaped almost all areas of optimization theory and computational practice. This book gives a comprehensive review of the main results of more than a decade of IPM research. Numerous exercises are provided to aid in understanding the material."
Interior Point Methods for Linear Optimization is a comprehensive, thorough textbook on interior point methods (IPMs). The era of IPMs was initiated b...
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Continuous Optimization: Current Trends and Modern Applications
ISBN: 9781441938947 / Angielski / Miękka / 450 str. Termin realizacji zamówienia: 22 dni roboczych Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17* DEGREES century. Nowadys, continuous optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza tion problems using computers began with the...
Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several...
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Nonlinear Integer Programming
ISBN: 9781441939913 / Angielski / Miękka / 438 str. Termin realizacji zamówienia: 22 dni roboczych It is not an exaggeration that much of what people devote in their hfe re- solves around optimization in one way or another. On one hand, many decision making problems in real applications naturally result in optimization problems in a form of integer programming. On the other hand, integer programming has been one of the great challenges for the optimization research community for many years, due to its computational difficulties: Exponential growth in its computational complexity with respect to the problem dimension. Since the pioneering work of R. Gomory 80] in the late 1950s, the...
It is not an exaggeration that much of what people devote in their hfe re- solves around optimization in one way or another. On one hand, many decisio...
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Large-Scale Nonlinear Optimization
ISBN: 9781441940148 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: 22 dni roboczych Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. The chapters of the book, authored by some of the most active and well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications. Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization an... |
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Optimization with Multivalued Mappings: Theory, Applications and Algorithms
ISBN: 9781441941671 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: 22 dni roboczych In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications... In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving m... |
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Linear and Nonlinear Programming
ISBN: 9781441945044 / Angielski / Miękka / 564 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California's Stanford University, who has written lots of extra... This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insight... |
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Fuzzy Multi-Criteria Decision Making: Theory and Applications with Recent Developments
ISBN: 9781441945754 / Angielski / Miękka / 590 str. Termin realizacji zamówienia: 22 dni roboczych In trying to make a satisfactory decision when imprecise and multicriteria situations are involved, a decision maker has to use a fuzzy multicriteria decision making method. "Fuzzy Multi-Criteria Decision Making" (MCDM) presents fuzzy multiattribute and multiobjective decision-making methodologies by distinguished MCDM researchers. In summarizing the concepts and results of the most popular fuzzy multicriteria methods, using numerical examples, this work examines all the fuzzy multicriteria methods recently developed, such as fuzzy AHP, fuzzy TOPSIS, interactive fuzzy multiobjective... In trying to make a satisfactory decision when imprecise and multicriteria situations are involved, a decision maker has to use a fuzzy multicriter... |
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Rigorous Global Search: Continuous Problems
ISBN: 9781441947628 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: 22 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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Developments in Global Optimization
ISBN: 9781441947680 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: 22 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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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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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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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints: Theory, Applications and Numerical Results
ISBN: 9781441948045 / Angielski / Miękka / 274 str. Termin realizacji zamówienia: 22 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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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 9781441948052 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: 22 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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Practical Bilevel Optimization: Algorithms and Applications
ISBN: 9781441948076 / Angielski / Miękka / 476 str. Termin realizacji zamówienia: 22 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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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
ISBN: 9781441948083 / Angielski / Miękka / 518 str. Termin realizacji zamówienia: 22 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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Handbook of Combinatorial Optimization: Supplement Volume a
ISBN: 9781441948137 / Angielski / Miękka / 648 str. Termin realizacji zamówienia: 22 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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Nonlinear Optimization and Related Topics
ISBN: 9781441948236 / Angielski / Miękka / 492 str. Termin realizacji zamówienia: 22 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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