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August, 1977 A Problem of Two Lifts
Domokos Szasz
Ann. Probab. 5(4): 550-559 (August, 1977). DOI: 10.1214/aop/1176995760

Abstract

The following problem is solved: when are we obliged to walk upstairs in a building supplied with two lifts (or elevators), if repairs to the lifts are quickly carried out? Sufficient conditions are given on the distributions of operating- and down-times under which the times when both lifts are inoperative are asymptotically distributed as a Poisson process.

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Domokos Szasz. "A Problem of Two Lifts." Ann. Probab. 5 (4) 550 - 559, August, 1977. https://doi.org/10.1214/aop/1176995760

Information

Published: August, 1977
First available in Project Euclid: 19 April 2007

zbMATH: 0374.60119
MathSciNet: MR461701
Digital Object Identifier: 10.1214/aop/1176995760

Subjects:
Primary: 60K05
Secondary: 60K10

Keywords: multicomponent reliability systems , Poisson process , renewal theory , weak convergence

Rights: Copyright © 1977 Institute of Mathematical Statistics

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Vol.5 • No. 4 • August, 1977
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