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)

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: 29 mar. 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: 29 March 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 March 29, 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 Mar. 29];14(28). Available from: https://revistas.unal.edu.co/index.php/estad/article/view/10005

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