A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption

Doo Ho Lee, Bo Keun Kim

We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer's sojourn time in their model although both the queue length and the busy cycle are seriously analyzed. The objective of this note is to derive the sojourn time distribution of Gao and Liu's model without considering Bernoulli schedule. A simple numerical example is also given to demonstrate our result.

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Year of publication:	December 2015
Authors:	Lee, Doo Ho ; Kim, Bo Keun
Published in:	Operations research perspectives. - Amsterdam [u.a.] : Elsevier, ISSN 2214-7160, ZDB-ID 2821932-6. - Vol. 2.2015, p. 57-61
Subject:	M/G/1 queue \| Single working vacation \| Vacation interruption \| Sojourn time \| Laplace-Stieltjes transform \| Warteschlangentheorie \| Queueing theory \| Urlaub \| Annual leave

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Type of publication:	Article
Type of publication (narrower categories):	Aufsatz in Zeitschrift ; Article in journal
Language:	English
Other identifiers:	10.1016/j.orp.2015.01.002 [DOI] hdl:10419/178247 [Handle]
Source:	ECONIS - Online Catalogue of the ZBW

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