Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model

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Publisher : Springer Nature
ISBN 13 : 9811622523
Total Pages : 354 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model by : Alexander J. Zaslavski

Download or read book Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2021-08-07 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the Robinson–Solow–Srinivasan (RSS) model. The model was introduced in the 1960s by economists Joan Robinson, Robert Solow, and Thirukodikaval Nilakanta Srinivasan and was further studied by Robinson, Nobuo Okishio, and Joseph Stiglitz. Since then, the study of the RSS model has become an important element of economic dynamics. In this book, two large general classes of optimal control problems, both of them containing the RSS model as a particular case, are presented for study. For these two classes, a turnpike theory is developed and the existence of solutions to the corresponding infinite horizon optimal control problems is established. The book contains 9 chapters. Chapter 1 discusses turnpike properties for some optimal control problems that are known in the literature, including problems corresponding to the RSS model. The first class of optimal control problems is studied in Chaps. 2–6. In Chap. 2, infinite horizon optimal control problems with nonautonomous optimality criteria are considered. The utility functions, which determine the optimality criterion, are nonconcave. This class of models contains the RSS model as a particular case. The stability of the turnpike phenomenon of the one-dimensional nonautonomous concave RSS model is analyzed in Chap. 3. The following chapter takes up the study of a class of autonomous nonconcave optimal control problems, a subclass of problems considered in Chap. 2. The equivalence of the turnpike property and the asymptotic turnpike property, as well as the stability of the turnpike phenomenon, is established. Turnpike conditions and the stability of the turnpike phenomenon for nonautonomous problems are examined in Chap. 5, with Chap. 6 devoted to the study of the turnpike properties for the one-dimensional nonautonomous nonconcave RSS model. The utility functions, which determine the optimality criterion, are nonconcave. The class of RSS models is identified with a complete metric space of utility functions. Using the Baire category approach, the turnpike phenomenon is shown to hold for most of the models. Chapter 7 begins the study of the second large class of autonomous optimal control problems, and turnpike conditions are established. The stability of the turnpike phenomenon for this class of problems is investigated further in Chaps. 8 and 9.

Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations

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Publisher : Springer
ISBN 13 : 3319542087
Total Pages : 233 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations by : Hiroyoshi Mitake

Download or read book Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations written by Hiroyoshi Mitake and published by Springer. This book was released on 2017-06-14 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge–Ampère and linearized Monge–Ampère equations. As an application, we solve the second boundary value problem of the prescribed affine mean curvature equation, which can be viewed as a coupling of the latter two equations. Of interest in its own right, the linearized Monge–Ampère equation also has deep connections and applications in analysis, fluid mechanics and geometry, including the semi-geostrophic equations in atmospheric flows, the affine maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar curvature in complex geometry. Among other topics, the second part provides a thorough exposition of the large time behavior and discounted approximation of Hamilton–Jacobi equations, which have received much attention in the last two decades, and a new approach to the subject, the nonlinear adjoint method, is introduced. The appendix offers a short introduction to the theory of viscosity solutions of first-order Hamilton–Jacobi equations.

Turnpike Theory for the Robinson–Solow–Srinivasan Model

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Publisher : Springer Nature
ISBN 13 : 3030603075
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Turnpike Theory for the Robinson–Solow–Srinivasan Model by : Alexander J. Zaslavski

Download or read book Turnpike Theory for the Robinson–Solow–Srinivasan Model written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2021-01-04 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of a class of optimal control problems arising in mathematical economics, related to the Robinson–Solow–Srinivasan (RSS) model. It will be useful for researches interested in the turnpike theory, infinite horizon optimal control and their applications, and mathematical economists. The RSS is a well-known model of economic dynamics that was introduced in the 1960s and as many other models of economic dynamics, the RSS model is determined by an objective function (a utility function) and a set-valued mapping (a technology map). The set-valued map generates a dynamical system whose trajectories are under consideration and the objective function determines an optimality criterion. The goal is to find optimal trajectories of the dynamical system, using the optimality criterion. Chapter 1 discusses turnpike properties for some classes of discrete time optimal control problems. Chapter 2 present the description of the RSS model and discuss its basic properties. Infinite horizon optimal control problems, related to the RSS model are studied in Chapter 3. Turnpike properties for the RSS model are analyzed in Chapter 4. Chapter 5 studies infinite horizon optimal control problems related to the RSS model with a nonconcave utility function. Chapter 6 focuses on infinite horizon optimal control problems with nonautonomous optimality criterions. Chapter 7 contains turnpike results for a class of discrete-time optimal control problems. Chapter 8 discusses the RSS model and compares different optimality criterions. Chapter 9 is devoted to the study of the turnpike properties for the RSS model. In Chapter 10 the one-dimensional autonomous RSS model is considered and the continuous time RSS model is studied in Chapter 11.

Strategic Investment Planning with Technology Choice in Manufacturing Systems

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Publisher : Routledge
ISBN 13 : 0429835094
Total Pages : 194 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Strategic Investment Planning with Technology Choice in Manufacturing Systems by : Shan Ling Li

Download or read book Strategic Investment Planning with Technology Choice in Manufacturing Systems written by Shan Ling Li and published by Routledge. This book was released on 2018-07-27 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1994 this book examines problems related to investment planning, capacity additions, and choice of technology in dynamic manufacturing systems characterized by multiple products, dynamic demand growth, uncertainty in demand and availability of alternative technologies. A model-based methodology is developed that focuses on trade-offs between flexible and conventional technology. The research conducted for this book is directed to the development of tools to support investment decisions in production capacity over medium and long-term planning horizons.

The Selection Process for Capital Projects

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Publisher : John Wiley & Sons
ISBN 13 : 9780471634256
Total Pages : 728 pages
Book Rating : 4.6/5 (342 download)

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Book Synopsis The Selection Process for Capital Projects by : Hans J. Lang

Download or read book The Selection Process for Capital Projects written by Hans J. Lang and published by John Wiley & Sons. This book was released on 1993-09-16 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews basic principles and presents techniques for evaluating and making decisions about investments and the acquisition of capital projects in industry and the private sector. Provides management and control techniques for construction of facilities or installation and operation of machinery and equipment. Covers sensitivity analysis and methods for ranking projects. Discusses the limitations of various methods. Explains how to carry out economic studies for the proper allocation of capital spending.

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1490107495
Total Pages : 1227 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition by :

Download or read book Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Markov Decision Processes

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Publisher : John Wiley & Sons
ISBN 13 : 1118625870
Total Pages : 544 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Markov Decision Processes by : Martin L. Puterman

Download or read book Markov Decision Processes written by Martin L. Puterman and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "This text is unique in bringing together so many results hitherto found only in part in other texts and papers. . . . The text is fairly self-contained, inclusive of some basic mathematical results needed, and provides a rich diet of examples, applications, and exercises. The bibliographical material at the end of each chapter is excellent, not only from a historical perspective, but because it is valuable for researchers in acquiring a good perspective of the MDP research potential." —Zentralblatt fur Mathematik ". . . it is of great value to advanced-level students, researchers, and professional practitioners of this field to have now a complete volume (with more than 600 pages) devoted to this topic. . . . Markov Decision Processes: Discrete Stochastic Dynamic Programming represents an up-to-date, unified, and rigorous treatment of theoretical and computational aspects of discrete-time Markov decision processes." —Journal of the American Statistical Association

Bandit problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401537119
Total Pages : 283 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Bandit problems by : Donald A. Berry

Download or read book Bandit problems written by Donald A. Berry and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our purpose in writing this monograph is to give a comprehensive treatment of the subject. We define bandit problems and give the necessary foundations in Chapter 2. Many of the important results that have appeared in the literature are presented in later chapters; these are interspersed with new results. We give proofs unless they are very easy or the result is not used in the sequel. We have simplified a number of arguments so many of the proofs given tend to be conceptual rather than calculational. All results given have been incorporated into our style and notation. The exposition is aimed at a variety of types of readers. Bandit problems and the associated mathematical and technical issues are developed from first principles. Since we have tried to be comprehens ive the mathematical level is sometimes advanced; for example, we use measure-theoretic notions freely in Chapter 2. But the mathema tically uninitiated reader can easily sidestep such discussion when it occurs in Chapter 2 and elsewhere. We have tried to appeal to graduate students and professionals in engineering, biometry, econ omics, management science, and operations research, as well as those in mathematics and statistics. The monograph could serve as a reference for professionals or as a telA in a semester or year-long graduate level course.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Cognitive Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540404682
Total Pages : 504 pages
Book Rating : 4.4/5 (46 download)

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Book Synopsis Cognitive Economics by : Paul Bourgine

Download or read book Cognitive Economics written by Paul Bourgine and published by Springer Science & Business Media. This book was released on 2004-01-08 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The social sciences study knowing subjects and their interactions. A "cognitive turn", based on cognitive science, has the potential to enrich these sciences considerably. Cognitive economics belongs within this movement of the social sciences. It aims to take into account the cognitive processes of individuals in economic theory, both on the level of the agent and on the level of their dynamic interactions and the resulting collective phenomena. This book is a result of a three-year experiment in interdisciplinary cooperation in cognitive economics. It has the advantage of reflecting joint, long-term work between economists, specialists in cognitive science, physicists, mathematicians and computer scientists. The main aim of the book is to enable any researcher interested in cognitive economics, whatever his or her original speciality, to grasp essential landmarks in this emerging field. Part I of the book provides disciplinary bases, Part II is focused on advanced research.

Studies on Industrial Productivity

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Publisher : Routledge
ISBN 13 : 0429804032
Total Pages : 1389 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Studies on Industrial Productivity by : Various Authors

Download or read book Studies on Industrial Productivity written by Various Authors and published by Routledge. This book was released on 2018-07-31 with total page 1389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published between 1994 and 2000 the volumes in this set discuss: the successful implementation of radical, technological innovations within business organizations. issues of Chinese rural-rural and rural-urban migration a number of subjects of significance for labor and economic policy, especially the role of U. S. tax policy in the relocation of jobs from the contintental USA to Puerto Rico. the impact an immigrant community in the USA has on the type and quantity of foreign goods available. the relation between technology and the exercise of sea power. problems related to investment planning, capacity additions, and choice of technology in dynamic manufacturing systems.

Introduction to Dynamic Economic Models

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Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Dynamic Economic Models by : Brian S. Ferguson

Download or read book Introduction to Dynamic Economic Models written by Brian S. Ferguson and published by . This book was released on 1998 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unnecessary complexity has been avoided, yet the models have been presented in the same general form as they appear in the professional literature.

Encyclopedia of Operations Research and Management Science

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Publisher : Springer Science & Business Media
ISBN 13 : 079237827X
Total Pages : 969 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Encyclopedia of Operations Research and Management Science by : Saul I. Gass

Download or read book Encyclopedia of Operations Research and Management Science written by Saul I. Gass and published by Springer Science & Business Media. This book was released on 2001 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: Audience: Anyone concerned with the science, techniques and ideas of how decisions are made."--BOOK JACKET.

Discrete Stochastic Optimization Using Random Search

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Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Discrete Stochastic Optimization Using Random Search by : Mahmoud H. Alrefaei

Download or read book Discrete Stochastic Optimization Using Random Search written by Mahmoud H. Alrefaei and published by . This book was released on 1997 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rollout, Policy Iteration, and Distributed Reinforcement Learning

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Publisher : Athena Scientific
ISBN 13 : 1886529078
Total Pages : 498 pages
Book Rating : 4.8/5 (865 download)

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Book Synopsis Rollout, Policy Iteration, and Distributed Reinforcement Learning by : Dimitri Bertsekas

Download or read book Rollout, Policy Iteration, and Distributed Reinforcement Learning written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2021-08-20 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to develop in greater depth some of the methods from the author's Reinforcement Learning and Optimal Control recently published textbook (Athena Scientific, 2019). In particular, we present new research, relating to systems involving multiple agents, partitioned architectures, and distributed asynchronous computation. We pay special attention to the contexts of dynamic programming/policy iteration and control theory/model predictive control. We also discuss in some detail the application of the methodology to challenging discrete/combinatorial optimization problems, such as routing, scheduling, assignment, and mixed integer programming, including the use of neural network approximations within these contexts. The book focuses on the fundamental idea of policy iteration, i.e., start from some policy, and successively generate one or more improved policies. If just one improved policy is generated, this is called rollout, which, based on broad and consistent computational experience, appears to be one of the most versatile and reliable of all reinforcement learning methods. In this book, rollout algorithms are developed for both discrete deterministic and stochastic DP problems, and the development of distributed implementations in both multiagent and multiprocessor settings, aiming to take advantage of parallelism. Approximate policy iteration is more ambitious than rollout, but it is a strictly off-line method, and it is generally far more computationally intensive. This motivates the use of parallel and distributed computation. One of the purposes of the monograph is to discuss distributed (possibly asynchronous) methods that relate to rollout and policy iteration, both in the context of an exact and an approximate implementation involving neural networks or other approximation architectures. Much of the new research is inspired by the remarkable AlphaZero chess program, where policy iteration, value and policy networks, approximate lookahead minimization, and parallel computation all play an important role.

General Technical Report SE

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (783 download)

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Book Synopsis General Technical Report SE by :

Download or read book General Technical Report SE written by and published by . This book was released on 1991 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Documentation Abstracts

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Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Documentation Abstracts by :

Download or read book Documentation Abstracts written by and published by . This book was released on 1994 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: