The Annals of Probability

A Problem of Two Lifts

Domokos Szasz

Full-text: Open access

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.

Article information

Source
Ann. Probab., Volume 5, Number 4 (1977), 550-559.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176995760

Digital Object Identifier
doi:10.1214/aop/1176995760

Mathematical Reviews number (MathSciNet)
MR461701

Zentralblatt MATH identifier
0374.60119

JSTOR
links.jstor.org

Subjects
Primary: 60K05: Renewal theory
Secondary: 60K10: Applications (reliability, demand theory, etc.)

Keywords
Renewal theory multicomponent reliability systems Poisson process weak convergence

Citation

Szasz, Domokos. A Problem of Two Lifts. Ann. Probab. 5 (1977), no. 4, 550--559. doi:10.1214/aop/1176995760. https://projecteuclid.org/euclid.aop/1176995760


Export citation