Optimal Inventory Control Policy for Periodic-Review Inventory Systems with Inventory-Level-Dependent Demand

Optimal Inventory Control Policy for Periodic-Review Inventory Systems with Inventory-Level-Dependent Demand

Author: Youhua Chen

Publisher:

Published: 2013

Total Pages:

ISBN-13:

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We consider a setting in which inventory plays both promotional and service roles; that is, higher inventories not only improve service levels but also stimulate demand by serving as a promotional tool (e.g., as the result of advertising effect by the enhanced product visibility). Specifically, we study the periodic-review inventory systems in which the demand in each period is uncertain but increases with the inventory level. We investigate the multiperiod model with normal and expediting orders in each period, that is, any shortage will be met through emergency replenishment. Such a model takes the lost sales model as a special case. For the cases without and with fixed order costs, the optimal inventory replenishment policy is shown to be of the base-stock type and of the (s, S) type, respectively.


Periodic Review Inventory Systems

Periodic Review Inventory Systems

Author: Thomas Wensing

Publisher: Springer Science & Business Media

Published: 2011-06-26

Total Pages: 159

ISBN-13: 3642204791

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The focus of the work is twofold. First, it provides an introduction into fundamental structural and behavioral aspects of periodic review inventory systems. Second, it includes a comprehensive study on analytical and optimization aspects of a specific class of those systems. For the latter purpose, general solution methods for problems of inventory management in discrete time are described and developed along with highly specialized methods to solve very specific problems related to the model variants examined. The work is thus addressed to students and practitioners who seek a deeper understanding of managing inventories in discrete time as well as to software developers who require implementation aids on specific problems of inventory management.


Continuous-Review Policies for a Multi-Echelon Inventory Problem With Stochastic Demand (Classic Reprint)

Continuous-Review Policies for a Multi-Echelon Inventory Problem With Stochastic Demand (Classic Reprint)

Author: Marc de Bodt

Publisher:

Published: 2015-08-05

Total Pages: 58

ISBN-13: 9781332256280

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Excerpt from Continuous-Review Policies for a Multi-Echelon Inventory Problem With Stochastic Demand Continuous-Review Policies for a Multi-Echelon Inventory Problem With Stochastic Demand was written by Marc de Bodt and Stephen C. Graves in 1982. This is a 58 page book, containing 5607 words and 5 pictures. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Inventory Control

Inventory Control

Author: Sven Axsäter

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 210

ISBN-13: 1475756062

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Modem information technology has created new possibilities for more sophisticated and efficient control of supply chains. Most organizations can reduce their material flow costs substantially. Inventory control techniques are very important components in this development process. A thorough understanding of relevant inventory models is a prerequisite for successful implementation. I hope that this book will be a useful tool in acquiring such an understanding. Nearly ten years ago I wrote a Swedish book on inventory control. This previous book has been used in courses in production and inventory control at several Swed ish engineering schools and has also been appreciated by many practitioners in the field. Positive reactions from many readers have occasionally made me contemplate writing a new book in English on the same subject. Encouraging support of this idea from the Kluwer Editors Fred Hillier and Gary Folven finally convinced me to go ahead with the project. The result is this new book, which in many ways differs from its Swedish prede cessor. Some differences are due to recent developments in inventory control. Fur thermore, this new book is in a sense more theoretical. In particular, it is to a larger extent focused on creating a good basic understanding of different possible ap proaches when analyzing inventory models.


Periodic-Review Inventory Model with Three Consecutive Delivery Modes and Forecast Updates

Periodic-Review Inventory Model with Three Consecutive Delivery Modes and Forecast Updates

Author: Qi Feng

Publisher:

Published: 2014

Total Pages: 0

ISBN-13:

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This paper is concerned with a periodic-review inventory system with three consecutive delivery modes (fast, medium, and slow) and demand forecast updates. At the beginning of each period, the inventory level and demand information are updated and decisions on how much to order using each of the three delivery modes are made. It is shown that there is a base-stock policy for fast and medium modes which is optimal. Furthermore, the optimal policy for the slow mode may not be a base-stock policy in general.


Introduction to Discrete Event Systems

Introduction to Discrete Event Systems

Author: Christos G. Cassandras

Publisher: Springer Nature

Published: 2021-11-11

Total Pages: 821

ISBN-13: 3030722740

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This unique textbook comprehensively introduces the field of discrete event systems, offering a breadth of coverage that makes the material accessible to readers of varied backgrounds. The book emphasizes a unified modeling framework that transcends specific application areas, linking the following topics in a coherent manner: language and automata theory, supervisory control, Petri net theory, Markov chains and queueing theory, discrete-event simulation, and concurrent estimation techniques. Topics and features: detailed treatment of automata and language theory in the context of discrete event systems, including application to state estimation and diagnosis comprehensive coverage of centralized and decentralized supervisory control of partially-observed systems timed models, including timed automata and hybrid automata stochastic models for discrete event systems and controlled Markov chains discrete event simulation an introduction to stochastic hybrid systems sensitivity analysis and optimization of discrete event and hybrid systems new in the third edition: opacity properties, enhanced coverage of supervisory control, overview of latest software tools This proven textbook is essential to advanced-level students and researchers in a variety of disciplines where the study of discrete event systems is relevant: control, communications, computer engineering, computer science, manufacturing engineering, transportation networks, operations research, and industrial engineering. ​Christos G. Cassandras is Distinguished Professor of Engineering, Professor of Systems Engineering, and Professor of Electrical and Computer Engineering at Boston University. Stéphane Lafortune is Professor of Electrical Engineering and Computer Science at the University of Michigan, Ann Arbor.


Optimal and Approximate Policies for Inventory Systems with Order Crossover

Optimal and Approximate Policies for Inventory Systems with Order Crossover

Author: Mahesh Srinivasan

Publisher:

Published: 2011

Total Pages: 0

ISBN-13:

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A common assumption in inventory analysis is that replenishment orders arrive in the same sequence in which they were placed. In practice, however, a variety of factors may cause orders to arrive out of sequence, a phenomenon known as order crossover. This paper analyzes a periodic review inventory system for a single item with discrete variable demand and discrete variable and long lead-times (relative to the review period). Under such a scenario, multiple orders are simultaneously outstanding, and orders may arrive in a different sequence than placed. If such order crossover occurs, traditional inventory analysis overstates expected shortages and standard inventory control policies are no longer optimal. This paper discusses why orders may cross over in practice and investigates the implications of order crossover to inventory management policies. We investigate the cost performance of optimal policies under order crossover and also suggest approximate policies which are easier to compute and implement. Both the optimal and approximate policies take advantage of detailed real-time information about the status of pending orders and goods in transit, and hence in a majority of cases perform better than commonly used policies which do not incorporate such information.