A GI/Geo/1 queue with negative and positive customers

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The arrival of a negative customer to a queueing system causes one positive customer to be removed if any is present. Continuous-time queues with negative and positive customers have been thoroughly investigated over the last two decades. On the other hand, a discrete-time Geo/Geo/1 queue with negative and positive customers appeared only recently in the literature. We extend this Geo/Geo/1 queue to a corresponding GI/Geo/1 queue. We present both the stationary queue length distribution and the sojourn time distribution. (C) 2009 Elsevier Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2010-06
Language
English
Article Type
Article
Keywords

DISCRETE-TIME; WORK REMOVAL; G-NETWORKS; SERVER; ARRIVALS

Citation

APPLIED MATHEMATICAL MODELLING, v.34, pp.1662 - 1671

ISSN
0307-904X
DOI
10.1016/j.apm.2009.09.015
URI
http://hdl.handle.net/10203/96557
Appears in Collection
IE-Journal Papers(저널논문)
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