IMPROV OF A SINGLE SINGLE-UNIT REPAIRABLE SYSTEM WITHPING UNIT

Abstract

This paper deals with the analysis of single
single-unit repairable system with
helping unit. The single unit is main and the other is helping. Initially both
units operative, the functioning of the main unit is assumed to be depe ndent
on the helping unit if it is operative ,otherwise it is independent with an increasing failure rate. Assuming that the failure, repair, connecting or disconnecting the min unit from the helping unit times are stochastically
independent random variabl es each having an artistry distribution. The
system with three different modes [normal, partial failure, and total failures
for the main unite and helping unit ]. System failure occurs when both the
units fail totally. The failure rate and failed repair rat e of a unit are constants.
Laplace transforms of the various state probabilities have been derived and
then reliability is obtained by the inversion process. Moreover, an important
parameter of reliability, i.e. MTTF (mean time to failure failure) . The failure ti mes
of operating/spare units and repair time of failed units are exponential
distributed. Certain important result has been evaluated as special cases. Also,
few graphical illustrations are also given at the end to high high-light the important results.