Published

1998-01-01

A single queue with mutually replacing m servers

Keywords:

Poisson stream, exponential service, availability criterion, Laplace Transform, probability generating service, sequential service, steady state, mean queue length (es)

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Authors

  • K. C. Madan Yarmouk University
Customers arriving in a Poisson stream are served one by one exponentially by the m servers 81, 82, ... .S,«. A server who has just completed a service either continues the next service or is replaced by another server. The replacement of server at each service completion is governed by a probabilistic criterion of availability of servers. Transient solutions in terms of Laplace transforms of the probability generating functions are obtained and among some special cases the earlier known results of Madan (1990) for the case of 2 servers are deduced. The steady state solutions and the mean queue lengths have been explicitly for some particular cases.

How to Cite

APA

Madan, K. C. (1998). A single queue with mutually replacing m servers. Revista Colombiana de Estadística, 22(1), 1–8. https://revistas.unal.edu.co/index.php/estad/article/view/31799

ACM

[1]
Madan, K.C. 1998. A single queue with mutually replacing m servers. Revista Colombiana de Estadística. 22, 1 (Jan. 1998), 1–8.

ACS

(1)
Madan, K. C. A single queue with mutually replacing m servers. Rev. colomb. estad. 1998, 22, 1-8.

ABNT

MADAN, K. C. A single queue with mutually replacing m servers. Revista Colombiana de Estadística, [S. l.], v. 22, n. 1, p. 1–8, 1998. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/31799. Acesso em: 25 apr. 2024.

Chicago

Madan, K. C. 1998. “A single queue with mutually replacing m servers”. Revista Colombiana De Estadística 22 (1):1-8. https://revistas.unal.edu.co/index.php/estad/article/view/31799.

Harvard

Madan, K. C. (1998) “A single queue with mutually replacing m servers”, Revista Colombiana de Estadística, 22(1), pp. 1–8. Available at: https://revistas.unal.edu.co/index.php/estad/article/view/31799 (Accessed: 25 April 2024).

IEEE

[1]
K. C. Madan, “A single queue with mutually replacing m servers”, Rev. colomb. estad., vol. 22, no. 1, pp. 1–8, Jan. 1998.

MLA

Madan, K. C. “A single queue with mutually replacing m servers”. Revista Colombiana de Estadística, vol. 22, no. 1, Jan. 1998, pp. 1-8, https://revistas.unal.edu.co/index.php/estad/article/view/31799.

Turabian

Madan, K. C. “A single queue with mutually replacing m servers”. Revista Colombiana de Estadística 22, no. 1 (January 1, 1998): 1–8. Accessed April 25, 2024. https://revistas.unal.edu.co/index.php/estad/article/view/31799.

Vancouver

1.
Madan KC. A single queue with mutually replacing m servers. Rev. colomb. estad. [Internet]. 1998 Jan. 1 [cited 2024 Apr. 25];22(1):1-8. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/31799

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Copyright (c) 1998 Revista Colombiana de Estadística

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