JSM 2005 - Toronto

Abstract #304525

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Activity Number: 458
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #304525
Title: Waiting Time Distribution of Tandem Queues with Correlated Service Nodes
Author(s): Alfred Akinsete*+
Companies: Marshall University
Address: Department of Mathematics, Huntingnton, WV, 25755, United States
Keywords: Queueing network ; probability ; service time ; interarrival-interval
Abstract:

This work discusses the waiting time distribution of correlated queues in tandem, where the service time of a customer arriving for service is correlated with its preceding interarrival interval. The correlation arises as a result of finite buffer spaces between the service nodes of queues in tandem, causing a blockage of customers' services. Hence, the probability distribution of the state of such a system cannot be expressed in product form. Using the Laplace Stieltjes Transform (LST), we obtain the waiting time and sojourn time distributions of two queues in tandem.

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