WAITING TIME OF M/D1,∞/1 QUEUE

In this paper, we consider a single-server infinite capacity queue with Poisson arrival. The server takes all waiting customers as a batch into service, and the service time of the kth customer in a batch is a + b × k, where a and b are the set-up time and the individual service time for each customer, respectively. The steady-state mean and variance of waiting time of an arbitrary customer are obtained. Simulation results confirm our analysis.

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Year of publication:	2007
Authors:	CHANG, WOOJIN
Published in:	Asia-Pacific Journal of Operational Research (APJOR). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7019. - Vol. 24.2007, 03, p. 383-399
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Gated queue \| Poisson arrival \| embedded Markov chain

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Extent:	application/pdf text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10004977561