Analysis of the GI/Geo/1 Queue with Disasters
The occurrence of disasters to a queueing system causes all customers to be removed if any are present. Although there has been much research on continuous-time queues with disasters, the discrete-time Geo/Geo/1 queue with disasters has appeared in the literature only recently. We extend this Geo/Geo/1 queue to the GI/Geo/1 queue. We present the probability generating function of the stationary queue length and sojourn time for the GI/Geo/1 queue. In addition, we convert our results into the Geo/Geo/1 queue and the GI/M/1 queue.
- Publisher
- TAYLOR FRANCIS INC
- Issue Date
- 2010
- Language
- English
- Article Type
- Article
- Keywords
TIME GEO/GEO/1 QUEUE; M/M/1 QUEUE; CATASTROPHES; ARRIVALS; FAILURES
- Citation
STOCHASTIC ANALYSIS AND APPLICATIONS, v.28, no.1, pp.44 - 53
- ISSN
- 0736-2994
- Appears in Collection
- IE-Journal Papers(저널논문)
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