Journal of Applied Probability
- J. Appl. Probab.
- Volume 35, Number 4 (1998), 950-962.
Idle and busy periods in stable M/M/k queues
This paper finds the first and second moments of the number of arrivals in a stable M/M/k queue during an idle period, i.e. in a period when at least one server is idle. These and similar results are used along with renewal theory asymptotics to find the first and second moments of the proportion of arrivals occurring while there are at least ξ customers waiting for service. The asymptotics of the second moment for large ξ are established.
J. Appl. Probab. Volume 35, Number 4 (1998), 950-962.
First available in Project Euclid: 19 September 2002
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60K25: Queueing theory [See also 68M20, 90B22]
Daley, D. J.; Servi, L. D. Idle and busy periods in stable M / M / k queues. J. Appl. Probab. 35 (1998), no. 4, 950--962. doi:10.1239/jap/1032438390. http://projecteuclid.org/euclid.jap/1032438390.