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The stability of a system of queues in series

Published online by Cambridge University Press:  24 October 2008

R. M. Loynes
R. M. Loynes
Affiliation:
Statistical Laboratory, University of Manchester
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Extract

1. Introduction. The stability of a system of queues in series was investigated in (1) but the results obtained were not quite complete, for the situation in which all component queues are substable and at least one is critical was scarcely touched upon. The only reference to this situation, in fact, was an example on page 513 showing that necessary and sufficient conditions are not obvious. (The ideas and terminology of (1) will be used freely throughout this paper.)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 569 - 574
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Loynes, R. M. Proc. Cambridge Philos. Soc. 58 (1962), 497–520.CrossRefGoogle Scholar
(2) Sacks, J. Ann. Math. Statist. 31 (1960), 579–588.Google Scholar