Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-29T04:58:06.876Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Extract

Suppose X1, X2, X3,… are independent and identically distributed positive nonlattice random variables with common distribution function F(x).

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Kendall, D. G. (1951) Some problems in the theory of queues. J. R. Statist. Soc. B 13, 151–185.Google Scholar
Smith, W. L. (1958) Renewal theory and its ramifications. J. R. Statist. Soc. B 20, 243–302.Google Scholar
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