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On the maximum of the queue GI/M/1

Published online by Cambridge University Press:  14 July 2016

C. R. Heathcote
C. R. Heathcote*
Affiliation:
Australian National University
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Extract

Suppose X 1, X 2, X3,… are independent and identically distributed positive nonlattice random variables with common distribution function F(x).

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 2 , Issue 1 , June 1965 , pp. 206 - 214
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

Kendall, D. G. (1951) Some problems in the theory of queues. J. R. Statist. Soc. B 13, 151–185.Google Scholar
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Smith, W. L. (1961) On some general renewal theorems for nonidentically distributed variables. Fourth Berkeley Symposium 2, University of California Press.Google Scholar
Takács, L. (1962) Introduction to the Theory of Queues. Oxford University Press, New York.Google Scholar
Titchmarsh, E. C. (1960) The Theory of Functions (2nd ed.) Oxford University Press, Oxford.Google Scholar