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Long-run availability of a repairable parallel system
Author(s)
Vanderperre, E. J.
Makhanov, S. S.
Suchatvejapoom, Sunthorn
Date Issued
January 1, 1997
Type
Article
Abstract
We analyze the long-run availability of a two-unit parallel system sustained by a cold standby 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 general repair time distribution. We use Hokstad's supplementary variable method to construct a system of simultaneous partial differential equations. We present a first-order numerical scheme and an iterative algorithm for the solution of the equations. A particular but important numerical example (Weibull repair), illustrated by computer-plotted graphs, motivates the proposed approximation. Copyright © 1996 Elsevier Science Ltd.
Citation
Microelectronics Reliability, 37(3), 525-527, 1997