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Non-standard insensitivity

Published online by Cambridge University Press:  14 July 2016

W. Henderson
W. Henderson*
Affiliation:
University of Adelaide
*
∗ Postal address: Department of Applied Mathematics, The University of Adelaide, Box 498, G.P.O., Adelaide, SA 5001, Australia.
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Abstract

The paper takes a closer look at some insensitivity results which are not contained in the class of insensitive generalised semi-Markov schemes. Based on a study of a special insensitive queue, a conjecture is proposed which covers all known results on insensitive equilibrium distributions. When insensitive events are also included, a study of the G/G/1 queue shows that the conjecture does not always hold.

Keywords

INSENSITIVE DISTRIBUTIONSINSENSITIVE EVENTSSUPPLEMENTARY VARIABLES

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 2 , June 1983 , pp. 288 - 296
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

This paper was researched and written at the Statistical Laboratory, Cambridge University and the Department of Statistics, University of Newcastle upon Tyne, while the author was on sabbatical leave.

References

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