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Another look at the two-lift problem

Published online by Cambridge University Press:  14 July 2016

Norman L. Kaplan
Norman L. Kaplan*
Affiliation:
National Institute of Environmental Health Sciences
*
∗Postal address: Biometry Branch, National Institute of Environmental Health Sciences, P.O. Box 12233, Research Triangle Park, NC 27709, U.S.A.
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Abstract

How often will a store with two elevators be without service assuming that repairs are quick? In this note it is shown that, under very mild assumptions on the operating- and repair-time distributions, the times when the building is without service are asymptotically Poisson.

Keywords

RENEWAL PROCESSPOISSON PROCESSRENEWAL DENSITYWEAK CONVERGENCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 697 - 706
Copyright
Copyright © Applied Probability Trust 

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References

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Zubkov, A. M. (1976) Sufficient conditions for a sequence of random flows to converge to the ordinary Poisson flow in queuing theory (in Russian). Transactions of the Third All-Union School Conference on Queuing Theory, Moscow University 1, 197–202.Google Scholar