Geo/G/1 queues with disasters and general repair times
This paper discusses discrete-time single server Geo/G/1 queues that are subject to failure due to a disaster arrival. Upon a disaster arrival, all present customers leave the system. At a failure epoch, the server is turned off and the repair period immediately begins. The repair times are commonly distributed random variables. We derive the probability generating functions of the queue length distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given. (C) 2010 Elsevier Inc. All rights reserved.
- Publisher
- ELSEVIER SCIENCE INC
- Issue Date
- 2011-04
- Language
- English
- Article Type
- Article
- Keywords
DISCRETE-TIME; NEGATIVE CUSTOMERS; GEO/GEO/1 QUEUE; RETRIAL QUEUE; G-NETWORKS; SERVER; ARRIVALS
- Citation
APPLIED MATHEMATICAL MODELLING, v.35, no.4, pp.1561 - 1570
- ISSN
- 0307-904X
- Appears in Collection
- Files in This Item
- There are no files associated with this item.
This item is cited by other documents in WoS
| ⊙ Detail Information in WoSⓡ | Click to see |  |
| ⊙ Cited 26 items in WoS | Click to see citing articles in |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.