A Problem of Two Lifts

Domokos Szasz

doi:10.1214/aop/1176995760

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Home > Journals > Ann. Probab. > Volume 5 > Issue 4 > Article

August, 1977 A Problem of Two Lifts

Domokos Szasz

Ann. Probab. 5(4): 550-559 (August, 1977). DOI: 10.1214/aop/1176995760

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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.