Dynamic Programming and Inventory Control

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 conce...

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Tác giả chính: Bensoussan, Alain
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: IOS Press 2014
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/36255
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spelling oai:scholar.dlu.edu.vn:DLU123456789-362552023-11-11T05:19:32Z Dynamic Programming and Inventory Control Bensoussan, Alain 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. 2014-01-22T07:49:35Z 2014-01-22T07:49:35Z 2011 Book 978-1-60750-770-3 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/36255 en application/pdf IOS Press
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
description 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.
format Book
author Bensoussan, Alain
spellingShingle Bensoussan, Alain
Dynamic Programming and Inventory Control
author_facet Bensoussan, Alain
author_sort Bensoussan, Alain
title Dynamic Programming and Inventory Control
title_short Dynamic Programming and Inventory Control
title_full Dynamic Programming and Inventory Control
title_fullStr Dynamic Programming and Inventory Control
title_full_unstemmed Dynamic Programming and Inventory Control
title_sort dynamic programming and inventory control
publisher IOS Press
publishDate 2014
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/36255
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