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.


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.


Inventory Management Insights

Inventory Management Insights

Author: Mansoor Muallim

Publisher: M M Info Care

Published: 101-01-01

Total Pages: 105

ISBN-13:

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Chapter 1: The Foundations of Inventory Management Characters: Jammy (Expert) and Canny (Enthusiast) Jammy: Hey there, Canny! I'm excited to share some valuable insights about inventory management with you today. It's a crucial aspect of any business, and I'm sure you'll find it fascinating. Canny: Hi, Jammy! I'm really eager to learn more. So, what exactly is inventory management? Jammy: Great question, Canny! Inventory management involves efficiently handling a company's stock of goods to ensure smooth operations. It's all about striking the right balance between having enough products to meet customer demand while avoiding overstocking that ties up unnecessary capital. Canny: I see. So, why is it essential for businesses? Jammy: Well, effective inventory management brings several benefits. First and foremost, it helps businesses maintain customer satisfaction. When you have products readily available, you can fulfill orders promptly, leading to happy customers. Moreover, it reduces holding costs, which are the expenses associated with storing excess inventory. Canny: That makes sense. How do companies decide how much inventory to carry? Jammy: Good question! There are various factors that influence this decision. One crucial aspect is demand forecasting. By analyzing historical sales data and market trends, businesses can estimate future demand and plan their inventory accordingly. Canny: Is there a specific method for managing different types of products? Jammy: Absolutely! Not all products are equal. Businesses often categorize their inventory based on demand and value. This categorization helps them apply appropriate management techniques. For instance, high-value items may require closer monitoring and tighter controls. Canny: Interesting! Are there any popular inventory control models? Jammy: Yes, indeed! One of the widely used models is the Economic Order Quantity (EOQ) model. It calculates the optimal order quantity that minimizes total inventory costs, including ordering and holding costs. Canny: Is there any way to handle unpredictable demand? Jammy: Definitely! Safety stock comes into play here. It's the buffer inventory kept to tackle unexpected spikes in demand or delays in supply. Safety stock acts as an insurance against stockouts. Canny: That sounds important. How can technology help with inventory management? Jammy: Technology plays a significant role in modern inventory management. Businesses use specialized software to automate various processes, such as order processing, tracking, and forecasting. This streamlines operations and enhances accuracy. Canny: Thanks for sharing all this valuable information, Jammy. It's been really enlightening. Jammy: You're welcome, Canny! Inventory management is an ever-evolving field, and there's always something new to learn. I'm glad I could help satisfy your thirst for knowledge! Key Takeaways: Inventory management is about efficiently handling a company's stock of goods to meet customer demand while minimizing holding costs. Demand forecasting is crucial for determining the right inventory levels. Categorizing inventory based on demand and value helps tailor management techniques. The Economic Order Quantity (EOQ) model is widely used for inventory control. Safety stock acts as a buffer against unexpected fluctuations in demand or supply. Technology, such as inventory management software, plays a significant role in streamlining processes and improving accuracy.


A Periodic Review Inventory System with S-Shaped Utility Function

A Periodic Review Inventory System with S-Shaped Utility Function

Author: Xiaobo Zhao

Publisher:

Published: 2016

Total Pages: 29

ISBN-13:

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Prospect theory shows that human behavior in decision making can often be characterized by an S-shaped utility function. In this paper, we consider a periodic review inventory system with an exponential-type S-shaped utility function. The objective is to maximize the total expected utility over the planning horizon. We show that, for the single-period case without setup cost, a state-dependent order-up-to policy is optimal, to which it is not difficult to obtain the optimal order-up-to level. For the multi-period case without setup costs, we partially characterize the optimal policy when the demand distributions are log-concave, and present an iterative algorithm for computing the optimal policy. Numerical studies are conducted to illustrate the impact of parameters on the system performance and optimal policies. The results show that the ordering behavior of the inventory manager can be significantly different from those derived from the classical models. It is also shown that the approaches in this paper can be applied to both single-period and multi-period systems with setup costs for obtaining optimal policies.


Encyclopedia of Optimization

Encyclopedia of Optimization

Author: Christodoulos A. Floudas

Publisher: Springer Science & Business Media

Published: 2008-09-04

Total Pages: 4646

ISBN-13: 0387747583

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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".


An Optimal Expediting Policy for Periodic-Review Inventory Systems

An Optimal Expediting Policy for Periodic-Review Inventory Systems

Author: Raik Özsen

Publisher:

Published: 2012

Total Pages: 0

ISBN-13:

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We analyze a periodic-review base-stock inventory system where outstanding orders can be expedited. Most inventory models assume that lead times are exogenously given, i.e., that orders arrive after a lead time that cannot be controlled by the inventory manager. However, in many situations inventory managers have the option to expedite open orders. We incorporate the expediting option into a periodic-review base-stock inventory model and solve the model optimally. We prove several structural properties of the model and show how the optimal solution can be computed efficiently. We numerically analyze the sensitivity of the inventory system with respect to the key parameters and quantify the benefit of order expediting using data from the service division of a global equipment manufacturer.


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.