Notes on Queueing Output Processes

The following notes, of which a more detailed account will appear elsewhere, survey certain features of the output process of stable queueing systems. Specifically, attention is given to distributional properties, second moment properties, and characterization problems. Kendall (1964), Reich (1965), and Cherry and Disney (1973) may be consulted for motivation and some review of the literature also.

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[17]  Mark Brown An $M/G/\infty$ Estimation Problem , 1970 .

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[19]  Daryl J. Daley,et al.  Characterizing pure loss GI/G/1 queues with renewal output , 1974, Mathematical Proceedings of the Cambridge Philosophical Society.

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[23]  Mark Brown,et al.  An invariance property of Poisson processes , 1969, Journal of Applied Probability.

[24]  Ralph L. Disney,et al.  A Characterization of M/G/1 Queues with Renewal Departure Processes , 1973 .

[25]  E. Reich Waiting Times When Queues are in Tandem , 1957 .

[26]  D. Daley The Correlation Structure of the Output Process of Some Single Server Queueing Systems , 1968 .

[27]  Thomas L. Vlach,et al.  THE DEPARTURE PROCESS FROM THE GI/G/1 QUEUE , 1969 .

[28]  Wei Chang OUTPUT DISTRIBUTION OF A SINGLE-CHANNEL QUEUE , 1963 .

[29]  Noel M. Mirasol Letter to the Editor---The Output of an M/G/∞ Queuing System is Poisson , 1963 .