Dynamic Programming and Its Applications

Dynamic Programming and Its Applications

Proceedings of the International Conference on Dynamic Programming and Its Applications, University of British Columbia, Vancouver, British Columbia, Canada, April 14-16, 1977

1st Edition - January 1, 1978

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  • Editor: Martin L. Puterman
  • eBook ISBN: 9781483258942

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Description

Dynamic Programming and Its Applications provides information pertinent to the theory and application of dynamic programming. This book presents the development and future directions for dynamic programming. Organized into four parts encompassing 23 chapters, this book begins with an overview of recurrence conditions for countable state Markov decision problems, which ensure that the optimal average reward exists and satisfies the functional equation of dynamic programming. This text then provides an extensive analysis of the theory of successive approximation for Markov decision problems. Other chapters consider the computational methods for deterministic, finite horizon problems, and present a unified and insightful presentation of several foundational questions. This book discusses as well the relationship between policy iteration and Newton's method. The final chapter deals with the main factors severely limiting the application of dynamic programming in practice. This book is a valuable resource for growth theorists, economists, biologists, mathematicians, and applied management scientists.

Table of Contents


  • Contributors

    Preface

    Surveys

    Recurrence Conditions in Denumerable State Markov Decision Processes

    Discounted and Undiscounted Value-Iteration in Markov Decision Problems: A Survey

    Computational Advances in Dynamic Programming

    The Analytic Theory of Policy Iteration

    Dynamic Programming in Borei Spaces

    Elimination of Nonoptimal Actions in Markov Decision Processes

    Applications

    On Renewal Decisions

    Steady-State Policies, Dynamic Programming, and Optimal Economic Growth

    Comments on the Origin and Application of Markov Decision Processes

    The Application of Markov Decision Processes to Forest Management

    An Application of Dynamic Programming in Statistics

    Some Dynamic Programming Applications in Fisheries Management

    Theory

    Buckets, Shortest Paths, and Integer Programming

    Affine Dynamic Programming

    Optimal Control of a Diffusion Process with Reflecting Boundaries and both Continous and Lump Costs

    On Approximate Solutions of Finite-Stage Dynamic Programs

    An Inverse Theorem between Main and Inverse Dynamic Programming: Infinite-Stage Case

    On the Transient Case for Markov Decision Chains with General State Spaces

    An Operator-Theoretical Treatment of Negative Dynamic Programming

    Existence of Average Optimal Strategies in Markovian Decision Problems with Strictly Unbounded Costs

    International Conference on Dynamic Programming: Panel Discussion

    Comments Of Karl Hinderer

    Comments Of Eric V. Denardo

    Comments Of Arthur F. Veinott, Jr.

    Participants

Product details

  • No. of pages: 426
  • Language: English
  • Copyright: © Academic Press 1978
  • Published: January 1, 1978
  • Imprint: Academic Press
  • eBook ISBN: 9781483258942

About the Editor

Martin L. Puterman

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