ON THE RELIABILITY OF A REPAIRABLE PARALLEL SYSTEM

Vanderperre, E. J.; Makhanov, S. S.; Rattanathanawan, P.

doi:10.2306/scienceasia1513-1874.1996.22.075

ON THE RELIABILITY OF A REPAIRABLE PARALLEL SYSTEM

Author(s)

Vanderperre, E. J.

Makhanov, S. S.

Rattanathanawan, P.

Date Issued

March 1, 1996

Type

Article

DOI

10.2306/scienceasia1513-1874.1996.22.075

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 Takàcs. A particular case motivates the proposed analysis.

Citation

Scienceasia, 22(1), 75-81, 1996