Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T13:52:35.724Z Has data issue: false hasContentIssue false

Stochastic monotonicity and queues subject to tidal interruptions

Published online by Cambridge University Press:  24 October 2008

J. C. Gittins
Affiliation:
Department of Engineering, Cambridge

Abstract

A generalization is given of the notion of stochastic monotonicity. This is used in setting up, and showing how to obtain approximate solutions for, an integral equation formulation of GI/G/l queues, when access to the waiting-line is subject to periodic interruptions.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1971

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

REFERENCES

(1)Daley, D. J.Stochastically monotone Markov chains. Z. Wahrscheinhichkeitstheorie und Verw. Gebiete 10 (1968), 305317.CrossRefGoogle Scholar
(2)Daley, D. J. and Moran, P. A. P.Theor. Probability Appl. 13 (1968), 356359.CrossRefGoogle Scholar
(3)Feller, W.An introduction to probability and its applications, vol. 1, 2nd ed., p. 355 (London, 1957).Google Scholar
(4)Feller, W.An introduction to probability and its applications, vol. 2, p. 347 (London, 1966).Google Scholar
(5)Lindley, D. V.Queues with a single server. Proc. Cambridge Philos. Soc. 48 (1952), 277289.CrossRefGoogle Scholar
(6)Takacs, L.An introduction to the theory of queues (Oxford University Press, 1962).Google Scholar