Inventory Control Under Stochastic Lead Time and Stochastic Demand

Inventory Control Under Stochastic Lead Time and Stochastic Demand

Author: Kenneth R Rand (Jr)

Publisher:

Published: 1965

Total Pages: 109

ISBN-13:

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An attempt is made to investigate the behavior of an inventory system in which lead time, the size of the demand order, and the time between successive demand orders are all random variables with known probability distributions. Since adequate analytical mathematical models are not existant, a computer-based simulation model is used to study the inventory system. An introduction to the inventory problem and a description of inventory systems currently in use are provided. The formulation of the model is described. Results are presented as graphs of stockout time as a function of reorder point.


Inventory Management with Stochastic Lead Times

Inventory Management with Stochastic Lead Times

Author: Kumar Muthuraman

Publisher:

Published: 2013

Total Pages: 34

ISBN-13:

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This article analyzes a continuous time back-ordered inventory system with stochastic demand and stochastic delivery lags for placed orders. This problem in general has an infinite dimensional state space and is hence intractable. We first obtain the set of minimal conditions for reducing such a system's state space to one-dimension and show how this reduction is done. Next, by modeling demand as a diffusion process, we reformulate the inventory control problem as an impulse control problem. We simplify the impulse control problem to a Quasi-Variation Inequality (QVI). Based on the QVI formulation, we obtain the optimality of the (s, S) policy and the limiting distribution of the inventory level. We also obtain the long run average cost of such an inventory system. Finally, we provide a method to solve the QVI formulation. Using a set of computational experiments, we show that significant losses are incurred in approximating a stochastic lead time system with a fixed lead time system, thereby highlighting the need for such stochastic lead time models. We also provide insights into the dependence of this value loss on various problem parameters.


Foundations of Stochastic Inventory Theory

Foundations of Stochastic Inventory Theory

Author: Evan L. Porteus

Publisher: Stanford University Press

Published: 2002

Total Pages: 330

ISBN-13: 9780804743990

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This book has a dual purpose?serving as an advanced textbook designed to prepare doctoral students to do research on the mathematical foundations of inventory theory, and as a reference work for those already engaged in such research. All chapters conclude with exercises that either solidify or extend the concepts introduced.


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.


On Replenishment Rules, Forecasting, and the Bullwhip Effect in Supply Chains

On Replenishment Rules, Forecasting, and the Bullwhip Effect in Supply Chains

Author: Stephen M. Disney

Publisher: Now Publishers Inc

Published: 2008

Total Pages: 95

ISBN-13: 1601981325

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In this review we focus on supply coordination and use the bullwhip effect as the key example of supply chain inefficiency. We emphasize the managerial relevance of the bullwhip effect and the methodological issues so that both managers and researchers can benefit.