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The autocorrelation function of the queue length process for the two-server Poisson queue

Published online by Cambridge University Press:  14 July 2016

James M. Hill  and
Keith P. Tognetti
James M. Hill
Affiliation:
University of Wollongong
Keith P. Tognetti
Affiliation:
University of Wollongong
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Abstract

Using Laplace transforms an explicit analytical expression is obtained for the autocorrelation function of the number in the system for the two-server Poisson queue. The method employed may be extended to Poisson queues with more than two servers.

Keywords

AUTOCORRELATION FUNCTIONTWO-SERVER POISSON QUEUESIMULATION-GENERATED TIME SERIESLAPLACE TRANSFORM
Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 2 , June 1978 , pp. 447 - 451
Copyright
Copyright © Applied Probability Trust 1978 

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References

[1] Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar
[2] Fishman, G. S. and Kiviat, P. J. (1967) The analysis of simulation-generated time series. Management Sci. 13, 525–557.CrossRefGoogle Scholar
[3] Karlin, S. and Mcgregor, J. (1958) Many server queueing processes with Poisson input and exponential service times. Pacific J. Math. 8, 87–118.Google Scholar
[4] Morse, P. M. (1955) Stochastic properties of waiting lines. Opns Res. 3, 255–261.Google Scholar
[5] Saaty, T. L. (1960) Time-dependent solution of the many-server Poisson queue. Opns Res. 8, 755–772.Google Scholar