Multiobjective Optimization Methodology

Research methods present the strategic management field with great opportunities and challenges. This second volume of Research Methodology in Strategy and Management includes three types of chapters

Master the essential skills for designing and conducting a successful research projectEssentials of Research Design and Methodology contains practical information on how to design and conduct scientif

Tabu Search (TS) and, more recently, Scatter Search (SS) have proved highly effective in solving a wide range of optimization problems, and have had a variety of applications in industry, science, and

There are many highly effective optimization, feedback control, and automation systems embedded in living organisms and nature. Evolution persistently seeks optimal robust designs for biological feedb

Many physicists are not aware of the fact that they can solve their problems by applying optimization algorithms. Since the number of such algorithms is steadily increasing, many new algorithms have n

Optimization is concerned with finding the best (optimal) solution to mathematical problems that may arise in economics, engineering, the social sciences and the mathematical sciences. As is suggested by its title, this book surveys various ways of penetrating the subject. The author begins with a selection of the type of problem to which optimization can be applied and the remainder of the book develops the theory, mainly from the viewpoint of mathematical programming. To prevent the treatment becoming too abstract, subjects which may be considered 'unpractical' are not touched upon. The author gives plausible reasons, without forsaking rigor, to show how the subject develops 'naturally'. Professor Ponstein has provided a concise account of optimization which should be readily accessible to anyone with a basic understanding of topology and functional analysis. Advanced students and professionals concerned with operations research, optimal control and mathematical programming will welc

This book presents the up-to-date research developments in economics, management and optimization applied to sports, which would be of interest to researchers and practitioners in sports industry, and

A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.

A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.

This is the first elementary exposition of the main ideas of complexity theory for convex optimization. Up to now, most of the material can be found only in special journals and research monographs.

Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. Th

Today's need-to-know optimization techniques, at your fingertips The use of optimization methods is familiar territory to academicians and researchers. Yet, in today's world of deregulated electri

The aim of this volume is to show how Fuzzy Sets and Systems can help to provide robust and adaptive heuristic optimization algorithms in a variety of situations. The book presents the state of the ar

In the past three decades, local search has grown from a simple heuristic idea into a mature field of research in combinatorial optimization that is attracting ever-increasing attention. Local search

This book is the first to be devoted to multi-state system (MSS) reliability analysis and optimization. It contains a brief historical overview, presents the basic concepts of MSS, defines MSS reliabi

A unique interdisciplinary foundation for real-world problem solvingStochastic search and optimization techniques are used in a vast number of areas, including aerospace, medicine, transportation, and

Large-scale optimization is becoming increasingly important for students and professionals in electrical and industrial engineering, computer science, management science and operations research, and a

The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on o

This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities. The central focus is on problem

Object-Process Methodology (OPM) is an intuitive approach to systems engineering. This book presents the theory and practice of OPM with examples from various industry segments and engineering discipl

This reference provides a guide for applications specialists to the most important instruments and the major recent advances in the field of applied optimization. Pardalos (industrial and systems eng

Important text examines algorithms for optimizing large systems and clarifying relations between optimization procedures. Much data appear as charts and graphs and will be highly valuable to readers i

The Methodology of Empirical Macroeconomics stakes out a pragmatic middle-ground between traditional, prescriptive economic methodology and recent descriptive (sociological or rhetorical) methodology. The former is sometimes seen as arrogantly telling economists how to do their work and the latter as irrelevant to their practice. The lectures are built around a case study of a concrete example of macroeconomic analysis. They demonstrate that economic methodology and the philosophy of science offer insights that help to resolve the genuine concerns of macroeconomists. Some examples of questions addressed include: What is the relationship between theoretical models and empirical observations? What is the relevance of macroeconomics to policy? Should macroeconomics be viewed as a special case of microeconomics? What is the place of long-standing philosophical issues in macroeconomics, such as the scope and nature of economic laws, the role of idealizations, methodological individualism, a

The Methodology of Empirical Macroeconomics stakes out a pragmatic middle-ground between traditional, prescriptive economic methodology and recent descriptive (sociological or rhetorical) methodology. The former is sometimes seen as arrogantly telling economists how to do their work and the latter as irrelevant to their practice. The lectures are built around a case study of a concrete example of macroeconomic analysis. They demonstrate that economic methodology and the philosophy of science offer insights that help to resolve the genuine concerns of macroeconomists. Some examples of questions addressed include: What is the relationship between theoretical models and empirical observations? What is the relevance of macroeconomics to policy? Should macroeconomics be viewed as a special case of microeconomics? What is the place of long-standing philosophical issues in macroeconomics, such as the scope and nature of economic laws, the role of idealizations, methodological individualism, a

Evolutionary algorithms are relatively new, but very powerful techniques used to find solutions to many real-world search and optimization problems. Many of these problems have multiple objectives, wh

This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications

Reprints a work originally published by Holt, Rinehart and Winston (New York, 1976). Focusing on combinatorial optimization problems involving matroids, this text is suitable for courses in combinator

Building Services Design Methodology clearly sets out and defines the building services design process from concept to post-construction phase. By providing a step-by-step methodology for students and

Many problems in statistics and econometrics offer themselves naturally to the use of optimization heuristics. Standard methods applied to highly complex problems often produce approximate results, of

Written in an accessible and easy-to-read style, this cutting-edge book presents advanced solutions to current and future telecommunications optimization problems. The field of telecommunications i

Iterative Computer Algorithms with Applications in Engineering describes in-depth the five main iterative algorithms for solving hard combinatorial optimization problems: Simulated Annealing, Genetic

A thorough and highly accessible resource for analysts in a broad range of social sciences. Optimization: Foundations and Applications presents a series of approaches to the challenges faced by anal

This is a research-level book in optimization, whose results can be applied to fields from physics to economics. The text offers a great number of examples, making it useful to research professionals

Merging logic and mathematics in deductive inference-an innovative, cutting-edge approach. Optimization methods for logical inference? Absolutely, say Vijay Chandru and John Hooker, two major contrib

The focus of this book is on bilevel programming which combines elements of hierarchical optimization and game theory. The basic model addresses the problem where two decision-makers, each with thei

The focus of this book is on mathematical programming which combines elements of hierarchical optimization and game theory. The basic model addresses the problem where two decision makers, each with

Budimir (electronic systems, U. of London) focuses on the optimization-oriented approach to the design of radio frequency, microwave, and millimeter-wave filters. Topics include transmission lines, lu

This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the first-order and second-order optimality conditions. The book also describes several iterative algorithms such as a penalty-based interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has

The use of formal mathematical models and optimization in finance has become common practice in the 1980s and 1990s. This book clearly presents the exciting symbiosis between the fields of finance and management science/operations research. Prominent researchers present the state of the art in financial optimization, while analysts from industry discuss the latest business techniques practised by financial firms in New York, London and Tokyo. The book covers a wide range of topics: portfolio management of equities and fixed income investments, the pricing of complex insurance, mortgage and other asset-backed products, and models for risk-management and diversification.

This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-conta