THE GEO/G/1 QUEUE WITH NEGATIVE CUSTOMERS AND DISASTERS

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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. On the other hand, the arrival of a disaster removes all the customers in the system. The discrete-time Geo/Geo/1 queue, which has either negative customers or disasters, has recently appeared in the literature([3,4]). We extend this Geo/Geo/1 queue to the Geo/G/1 queue. In so doing, we present both models' probability generating function of the stationary queue length and sojourn time, respectively. We also provide some numerical examples to illustrate the effect of the parameters on these queueing models.
Publisher
TAYLOR FRANCIS INC
Issue Date
2009
Language
English
Article Type
Article
Keywords

DISCRETE-TIME; ARRIVALS

Citation

STOCHASTIC MODELS, v.25, no.4, pp.673 - 688

ISSN
1532-6349
DOI
10.1080/15326340903291347
URI
http://hdl.handle.net/10203/98187
Appears in Collection
IE-Journal Papers(저널논문)
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