M/M/1 queues with interdependent arrival and service processes

C. R. Mitchell and A. S. Paulson

Naval Research Logistics Quarterly, 1979, vol. 26, issue 1, 47-56

Abstract: We study via simulation an M/M/1 queueing system with the assumption that a customer's service time and the interarrival interval separating his arrival from that of his predecessor are correlated random variables having a bivariate exponential distribution. We show that positive correlation reduces the mean and variance of the total waiting time and that negative correlation has the opposite effect. By using spectral analysis and a nonparametric test applied to the sample power spectra associated with certain simulated waiting times we show the effect to be statistically significant.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:26:y:1979:i:1:p:47-56

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