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A delay-differential equation related to a renewable parallel system
Author(s)
Vanderperre, E. J.
Vannakrairojn, S.
Makhanov, S. S.
Date Issued
January 1, 1997
Type
Article
Abstract
We consider Gaver's parallel system sustained by a cold stand by unit and attended by two identical repairmen. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, queueing). Each operative unit has a constant failure rate and a deterministic repair time. We analyze the total joint idle time of both repairmen during the survival time of the system. The analysis requires the solution of a so-called delay-differential equation. A numerical example illustrates the structure of the solution for some particular values of the underlying parameters. Copyright © 1997 Elsevier Science Ltd.
Citation
Microelectronics Reliability, 37(5), 739-741, 1997