A Discrete-Time Queue with Balking, Reneging, and Working Vacations. (28th October 2014)
- Record Type:
- Journal Article
- Title:
- A Discrete-Time Queue with Balking, Reneging, and Working Vacations. (28th October 2014)
- Main Title:
- A Discrete-Time Queue with Balking, Reneging, and Working Vacations
- Authors:
- Goswami, Veena
- Other Names:
- Hernandez-Lerma Onesimo Academic Editor.
- Abstract:
- Abstract : This paper presents an analysis of balking and reneging in finite-buffer discrete-time single server queue with single and multiple working vacations. An arriving customer may balk with a probability or renege after joining according to a geometric distribution. The server works with different service rates rather than completely stopping the service during a vacation period. The service times during a busy period, vacation period, and vacation times are assumed to be geometrically distributed. We find the explicit expressions for the stationary state probabilities. Various system performance measures and a cost model to determine the optimal service rates are presented. Moreover, some queueing models presented in the literature are derived as special cases of our model. Finally, the influence of various parameters on the performance characteristics is shown numerically.
- Is Part Of:
- International journal of stochastic analysis. Volume 2014(2014)
- Journal:
- International journal of stochastic analysis
- Issue:
- Volume 2014(2014)
- Issue Display:
- Volume 2014, Issue 2014 (2014)
- Year:
- 2014
- Volume:
- 2014
- Issue:
- 2014
- Issue Sort Value:
- 2014-2014-2014-0000
- Page Start:
- Page End:
- Publication Date:
- 2014-10-28
- Subjects:
- Stochastic analysis -- Periodicals
Stochastic analysis
Periodicals
519.22 - Journal URLs:
- http://bibpurl.oclc.org/web/13034 ↗
http://www.hindawi.com/journals/ijsa/ ↗ - DOI:
- 10.1155/2014/358529 ↗
- Languages:
- English
- ISSNs:
- 2090-3332
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
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- British Library HMNTS - ELD Digital store
- Ingest File:
- 10830.xml