Dynamic Programming and Inventory Control
eBook - PDF

Dynamic Programming and Inventory Control

  1. 384 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Dynamic Programming and Inventory Control

About this book

This book presents a unified theory of dynamic programming and Markov decision processes and its application to a major field of operations research and operations management: inventory control. Models are developed in discrete time as well as in continuous time. For continuous time, this book concentrates only on models of interest to inventory control. For discrete time, the focus is mainly on infinite horizon models. The book also covers the difference between impulse control and continuous control. Ergodic control is considered in the context of impulse control, and some simple rules currently used in practice are justified. Chapter 2 introduces some of the classical static problems which are preliminary to the dynamic models of interest in inventory control. This book is not a general text on control theory and dynamic programming, in that the systems dynamics are mostly limited to inventory models. For these models, however, it seeks to be as comprehensive as possible, although finite horizon models in discrete time are not developed, since they are largely described in existing literature. On the other hand, the ergodic control problem is considered in detail, and probabilistic proofs as well as analytical proofs are provided. The techniques developed in this work can be extended to more complex models, covering additional aspects of inventory control.

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Yes, you can access Dynamic Programming and Inventory Control by A. Bensoussan, Alain Bensoussan in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Title Page
  2. Contents
  3. Introduction
  4. Static Problems
  5. Markov Chains
  6. Optimal Control in Discrete Time
  7. Inventory Control Without Set Up Cost
  8. Ergodic Control in Discrete Time
  9. Optimal Stopping Problems
  10. Impulse Control
  11. Inventory Control With Set Up Cost
  12. Ergodic Control of Inventories With Set Up Cost
  13. Dynamic Inventory Models With Extensions
  14. Inventory Control With Markov Demand
  15. Lead Times and Delays
  16. Continuous Time Inventory Control
  17. Inventory Control With Diffusion Demand
  18. Mean-Reverting Inventory Control
  19. Two Band Impulse Control Problems
  20. Bibliography
  21. Appendix A