On the remaining interarrival time upon reaching a given level in the GI/M/1/K queue

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Article ID:	iaor20073876
Country:	South Korea
Volume:	32
Issue:	4
Start Page Number:	369
End Page Number:	372
Publication Date:	Dec 2006
Journal:	Journal of the Korean Institute of Industrial Engineers
Authors:	Chae Kyung C., Suh Gai
Keywords:	GI/M/1 queues

Abstract:

Suppose that a customer arrives at the GI/M/I/K queueing system when there are n + m customers in the system, n,m ⩾ 0, n + m ⩽ K. Sooner or later, the number of customers in the system will reach m. In this paper, we present the Laplace transform of the remaining interarrival time upon reaching level m, for the first time, since a customer arrived when there are n + m customers in the system.

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