Published

1993-07-01

Balking and reneging in a vacation queueing model

Keywords:

Estadística matemática, Modelo de Poisson, Correlación exponencial, Estado de equilibrio, Probabilidad de generación de función (es)

Downloads

Authors

  • K. C. Madan University of Bahrain
We study a single server queueing system in which arrivals follow a compound Poisson process and the service times of customers have exponential distribution. The system is subject to server vacations occuiring randomly in time and in addition the impatient customers resort to balking and reneging during the server's vacation period. The steady state probability generating functions for the system when the server is available or on vacation have been obtained explicitly as also the average number in the system. Various particular cases of interest have also been derived.

How to Cite

APA

Madan, K. C. (1993). Balking and reneging in a vacation queueing model. Revista Colombiana de Estadística, 14(28). https://revistas.unal.edu.co/index.php/estad/article/view/10005

ACM

[1]
Madan, K.C. 1993. Balking and reneging in a vacation queueing model. Revista Colombiana de Estadística. 14, 28 (Jul. 1993).

ACS

(1)
Madan, K. C. Balking and reneging in a vacation queueing model. Rev. colomb. estad. 1993, 14.

ABNT

MADAN, K. C. Balking and reneging in a vacation queueing model. Revista Colombiana de Estadística, [S. l.], v. 14, n. 28, 1993. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/10005. Acesso em: 7 dec. 2024.

Chicago

Madan, K. C. 1993. “Balking and reneging in a vacation queueing model”. Revista Colombiana De Estadística 14 (28). https://revistas.unal.edu.co/index.php/estad/article/view/10005.

Harvard

Madan, K. C. (1993) “Balking and reneging in a vacation queueing model”, Revista Colombiana de Estadística, 14(28). Available at: https://revistas.unal.edu.co/index.php/estad/article/view/10005 (Accessed: 7 December 2024).

IEEE

[1]
K. C. Madan, “Balking and reneging in a vacation queueing model”, Rev. colomb. estad., vol. 14, no. 28, Jul. 1993.

MLA

Madan, K. C. “Balking and reneging in a vacation queueing model”. Revista Colombiana de Estadística, vol. 14, no. 28, July 1993, https://revistas.unal.edu.co/index.php/estad/article/view/10005.

Turabian

Madan, K. C. “Balking and reneging in a vacation queueing model”. Revista Colombiana de Estadística 14, no. 28 (July 1, 1993). Accessed December 7, 2024. https://revistas.unal.edu.co/index.php/estad/article/view/10005.

Vancouver

1.
Madan KC. Balking and reneging in a vacation queueing model. Rev. colomb. estad. [Internet]. 1993 Jul. 1 [cited 2024 Dec. 7];14(28). Available from: https://revistas.unal.edu.co/index.php/estad/article/view/10005

Download Citation

Article abstract page views

191

Downloads

Download data is not yet available.

License

Copyright (c) 1993 Revista Colombiana de Estadística

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).