Dynamic Optimization

This textbook concisely covers math knowledge and tools useful for business and economics studies, including matrix analysis, basic math concepts, general optimization, dynamic optimization, and ordin

Covering the fundamental theory together with the state of the art in research and development, this practical guide provides the techniques needed to design, analyze, and optimize device-to-device (D2D) communications in wireless networking. With an ever-increasing demand for higher data rate wireless access, D2D communication is set to become a key feature supported by next generation cellular networks. This book introduces D2D-based wireless communications from the physical, MAC, network, and application layer perspectives, providing all the key background information before moving on to discuss real-world applications as well as potential future developments. Key topics are discussed in detail, such as dynamic resource sharing (for example of spectrum and power) between cellular and ad hoc D2D communications to accommodate larger volumes of traffic and provide better service to users. Readers will understand the practical challenges of resource management, optimization, security, s

This book adopts a linear optimization method and introduces a dynamic optimization simulation model for analyzing synthetic environmental policies as endogenous variables in order to improve the envi

Russia has a number of distinct advantages in terms of foreign trade, but Savin is of the opinion that forecasting is not necessarily one of them. He feels that optimization methods for dynamic panel

This book introduces the basic tools of dynamic optimization in economics to study environmental problems, applies econometric methods to estimate and test the models derived by dynamic optimization,

In this book, the authors treat macroeconomic models as composed of large numbers of micro-units or agents of several types and explicitly discuss stochastic dynamic and combinatorial aspects of interactions among them. In mainstream macroeconomics sound microfoundations for macroeconomics have meant incorporating sophisticated intertemporal optimization by representative agents into models. Optimal growth theory, once meant to be normative, is now taught as a descriptive theory in mainstream macroeconomic courses. In neoclassical equilibria flexible prices led the economy to the state of full employment and marginal productivities are all equated. Professors Aoki and Yoshikawa contrariwise show that such equilibria are not possible in economies with a large number of agents of heterogeneous types. They employ a set of statistical dynamical tools via continuous-time Markov chains and statistical distributions of fractions of agents by types available in the new literature of combinator

Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses

Optimization of aviation and space vehicle design requires accurate assessment of the dynamic stability and general properties of hybrid materials used in aviation parts. Written by a professional wit

Over the past years, the appropriateness of Computational Intelligence (CI) techniques in modeling and optimization tasks pertaining to complex nonlinear dynamic systems has become indubitable, as att

Using real-life applications, this graduate-level textbook introduces different mathematical methods of scientific computation to solve minimization problems using examples ranging from locating an aircraft, finding the best time to replace a computer, analyzing developments on the stock market, and constructing phylogenetic trees. The textbook focuses on several methods, including nonlinear least squares with confidence analysis, singular value decomposition, best basis, dynamic programming, linear programming, and various optimization procedures. Each chapter solves several realistic problems, introducing the modelling optimization techniques and simulation as required. This allows readers to see how the methods are put to use, making it easier to grasp the basic ideas. There are also worked examples, practical notes, and background materials to help the reader understand the topics covered. Interactive exercises are available at www.cambridge.org/9780521849890.

Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems n

This book develops dynamic economic models using the perspective and analytic framework provided by psychological learning theory. This framework is used to resolve apparent contradictions between optimization theory, which lies at the heart of all modern economic theory, and day-to-day evidence that short-run economic behaviour cannot reasonably be described solely as the outcome of efficiently implemented self-interest. The author applies this viewpoint to a number of problem areas in which literal applications of maximization theory have not usually proved to be satisfactory. These include analyses of decision-making under uncertainty and gambling behaviour, the role of consumer-oriented advertising in influencing behaviour, the persistence of price dispersions in markets, and inflation.

Do you need to improve wireless system performance? Learn how to maximise the efficient use of resources with this systematic and authoritative account of wireless resource management. Basic concepts, optimization tools and techniques, and application examples, are thoroughly described and analysed, providing a unified framework for cross-layer optimization of wireless networks. State-of-the-art research topics and emerging applications, including dynamic resource allocation, cooperative networks, ad hoc/personal area networks, UWB, and antenna array processing, are examined in depth. If you are involved in the design and development of wireless networks, as a researcher, graduate student or professional engineer, this is a must-have guide to getting the best possible performance from your network.

One of the central questions of economics relates to the coordination of individual units within a large organization to achieve the central objectives of that organization. This book examines the problems involved in allocating resources in an economic system where decision-making is decentralized into the hands of individuals and individual enterprises. The decisions made by these economic agents must be coordinated because the input decisions of some must eventually equal the output decisions of others. Coordination arises naturally out of the mathematical theory of optimization but there is still the question of how it can be achieved in practice with dispersed knowledge. The essays here explore the many facets of this problem. Nine papers are grouped under the title 'Economies with a single maximand'. They include papers on static and dynamic optimization, decentralization within firms, and nonconvexities in optimizing problems. Fourteen papers are concerned with 'Economies with m

In this book, the authors treat macroeconomic models as composed of large numbers of micro-units or agents of several types and explicitly discuss stochastic dynamic and combinatorial aspects of interactions among them. In mainstream macroeconomics sound microfoundations for macroeconomics have meant incorporating sophisticated intertemporal optimization by representative agents into models. Optimal growth theory, once meant to be normative, is now taught as a descriptive theory in mainstream macroeconomic courses. In neoclassical equilibria flexible prices led the economy to the state of full employment and marginal productivities are all equated. Professors Aoki and Yoshikawa contrariwise show that such equilibria are not possible in economies with a large number of agents of heterogeneous types. They employ a set of statistical dynamical tools via continuous-time Markov chains and statistical distributions of fractions of agents by types available in the new literature of combinator

This book is the only source that provides comprehensive, current, and correct information on problem solving using modern heuristics. It covers classic methods of optimization, including dynamic prog

This book is the only source that provides comprehensive, current, and correct information on problem solving using modern heuristics. It covers classic methods of optimization, including dynamic prog

Emphasizing the foundations of dynamic optimization models, this book presents foundational results, concepts, methods, and tools useful in building and analyzing stochastic inventory models. Topics

The book covers the most common and importantapproaches for the identification of nonlinear staticand dynamic systems. Additionally, it provides thereader with the necessary background on optimization

This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra.

In this book, Jon Conrad and Colin Clark develop the theory of resource economics. To begin, they provide an introduction to the required techniques of dynamic optimization. Throughout the book they build the reader's understanding with many fully-worked problems and numerical examples. The authors have written this text in the belief that the theory and concepts of resource are more quickly learned, more effectively made operational, and more truly understood if the reader is exposed to carefully explained numerical examples. By working through the problems at the end of each chapter, students will learn the techniques to be used in empirical studies of natural resource systems. The first chapter provides an introduction to optimization, including constrained optimization, dynamic allocation problems, dynamic programming, continuous time problems, and the maximum principle, and a discussion of various numerical and graphical techniques. The remaining chapters deal in depth with the ec

In this book, Jon Conrad and Colin Clark develop the theory of resource economics. To begin, they provide an introduction to the required techniques of dynamic optimization. Throughout the book they build the reader's understanding with many fully-worked problems and numerical examples. The authors have written this text in the belief that the theory and concepts of resource are more quickly learned, more effectively made operational, and more truly understood if the reader is exposed to carefully explained numerical examples. By working through the problems at the end of each chapter, students will learn the techniques to be used in empirical studies of natural resource systems. The first chapter provides an introduction to optimization, including constrained optimization, dynamic allocation problems, dynamic programming, continuous time problems, and the maximum principle, and a discussion of various numerical and graphical techniques. The remaining chapters deal in depth with the ec

This presentation of advanced macroeconomics emphasizes the dynamic behaviour of the economy. Developed capitalist economies are characterized by large stocks of durable goods and the intertemporal nature of economic decisions that these involve. Such intertemporal decisions based on expectations about an uncertain future are the main sources of mistakes and consequent economic fluctuations. In this book, therefore, macroeconomic theory and policy are viewed as applications of capital theory. Professor Nagatani traces the early contributions to this viewpoint and critically surveys the modern literature. To aid the reader, a lucid exposition of dynamic optimization is provided before the theory is developed analytically. The framework employed has novel aspects and captures the chief characteristics of advanced economies. The analysis is used to draw out broad policy conclusions. This book is suitable for advanced students, for whom examples are provided at the end of chapters. However

One of the central questions of economics relates to the coordination of individual units within a large organization to achieve the central objectives of that organization. This book examines the problems involved in allocating resources in an economic system where decision-making is decentralized into the hands of individuals and individual enterprises. The decisions made by these economic agents must be coordinated because the input decisions of some must eventually equal the output decisions of others. Coordination arises naturally out of the mathematical theory of optimization but there is still the question of how it can be achieved in practice with dispersed knowledge. The essays here explore the many facets of this problem. Nine papers are grouped under the title 'Economies with a single maximand'. They include papers on static and dynamic optimization, decentralization within firms, and nonconvexities in optimizing problems. Fourteen papers are concerned with 'Economies with m

Online decision making under uncertainty and time constraints represents one of the most challenging problems for robust intelligent agents. In an increasingly dynamic, interconnected, and real-time

By using active controllers, a structure can modify its behavior during dynamic loading. Such structures with self-modification capability are called adaptive or smart structures. In this book, comput

Introducing the next generation in optimization modeling.This book presents a dynamic new approach to optimization modeling in the design and management of surface water reservoirs. More accurate in i