Inter-Departure Times in Base-Stock Inventory-Queues

Authors:
Liwei Bai;Brian Fralix;Liming Liu;Weixin Shang
Affiliations:
School of Industrial and System Engineering, Georgia Institute of Technology, Atlanta, GA, USA;School of Industrial and System Engineering, Georgia Institute of Technology, Atlanta, GA, USA;Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong liulim@ust.hk;Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Venue:
Queueing Systems: Theory and Applications
Year:
2004

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Abstract

An inventory-queue is an inventory system controlled by a processing station with queueing. They are natural building blocks for supply chain models. An important and largely open issue for inventory queues is the characterization of their departure processes. In an inventory-queue, departures are triggered either by a job arrival when the output buffer is not empty or otherwise by a service completion. Such departures are more difficult to analyze than departures from a standard queue. The main results in this study are expressions for the probability distributions and squared coefficient of variations of inter-departure times for base-stock inventory-queues with birth–death production processes.