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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
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.

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