On a property of a refusals stream

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/235015

Title: On a property of a refusals stream
Author(s): Abramov, Vyacheslav M.
Abstract: This paper consists of two parts. The first part provides a more elementary proof of the asymptotic theorem of the refusals stream for an M/GI/1/n queueing system discussed in Abramov (1991a). The central property of the refusals stream discussed in the second part of this paper is that, if the expectations of interarrival and service time of an M/GI/1/n queueing system are equal to each other, then the expectation of the number of refusals during a busy period is equal to 1. This property is extended for a wide family of single-server queueing systems with refusals including, for example, queueing systems with bounded waiting time.
Publication type: Journal article
Source: Journal of Applied Probability, Vol. 34, no. 3 (Sep 1997), pp. 800-805
Publication year: 1997
FOR Code(s): 0102 Applied Mathematics; 0104 Statistics
Keyword(s): Asymptotic stability; Busy periods; M/GI/1/n queueing system; Queueing theory; Refusals stream; Renewal process; Theorem proving
Publisher: Applied Probability Trust
ISSN: 0021-9002
Publisher URL: http://www.jstor.org/stable/3215106
Peer reviewed