ON THE RELIABILITY OF A REPAIRABLE PARALLEL SYSTEM

E.J. VANDERPERRE, S.S. MAKHANOV AND P. RATTANATHANAWAN

ABSTRACT: We analyse the reliability of Gaver's 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 an arbitrary repair time distribution.

Our analysis is based on a time dependent version of the supplementary variable method. The basic partial differential equations are transformed into an integro-differential equation of the (mixed) Fredholm type.
The equation generalizes the integro-differential equation of Takacs.
A particular case motivates the proposed analysis.

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Department of Mathematics and Computer Science, King Mongkut's Institute of Technology, Ladkrabang, Chalongkrung Road, 10520 Bangkok, Thailand.

Received August 16, 1995