MACHINE INTERFERENCE PROBLEM WITH A RANDOM ENVIRONMENT

János Sztrik

doi:10.1016/0377-2217(93)90338-N

1993-03-01

PRE

János Sztrik *

B.D. Bunday

DOI：10.1016/0377-2217(93)90338-N

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摘要

En 中文

This paper is concerned with a queueing model to analyse the asymptotic behaviour of the machine interference problem with N machines and a single operative. The running and repair times of each machine are supposed to be exponentially distributed random variables with parameter depending on the state of a varying environment. Assuming that the repair rate is much greater than the failure rate ('fast' service), it is shown that the time until the number of stopped machines reaches a certain level converges weakly, under appropriate norming, to an exponentially distributed random variable. Furthermore, some numerical examples illustrate the problem in question in the field of textile winding.

Keyword:

MACHINE INTERFERENCE PROBLEM

RANDOM ENVIRONMENT

FAILURE-FREE OPERATION TIME

WEAK CONVERGENCE