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Non-linear matrix integral equations of Volterra type in queueing theory

Published online by Cambridge University Press:  14 July 2016

Peter Purdue
Peter Purdue*
Affiliation:
University of Kentucky
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Abstract

The use of a branching process argument in complex queueing situations often leads to a discussion of a non-linear matrix integral equation of Volterra type. By the use of a fixed point theorem we show these equations have a unique solution.

Keywords

QUEUEING THEORYVOLTERRA TYPE INTEGRAL EQUATIONSFIXED POINT THEOREMSMATRIC FUNCTIONSQUEUEING PROCESS IN A RANDOM ENVIRONMENT
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 644 - 651
Copyright
Copyright © Applied Probability Trust 1973 

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Footnotes

Research supported in part by a David Ross Fellowship, by the Office of Naval Research Contract N00014-67-A-0026-0014, and by N. S. F. Contract GP-28650, at Purdue University.

References

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