R. Subramanian

Probabilistic analysis of a three unit cold standby redundant system with repair

Abstract This paper deals with a three unit cold standby system where the lifetime of the unit and the repair time are random variables with arbitrary distributions. Integral equations are set up to obtain expressions for various quantities of interest to system designers. Special cases are also considered. Using the various system measures, a comprehensive cost function is constructed and its optimization studied.

Interval Reliability of An n-Unit System With Single Repair Facility

This paper derives the interval reliability of an n-unit standby redundant system with warm standbys. The derivation uses renewal theory and regeneration-point techniques. The solution is obtained in the form of Laplace transforms; the transforms can be readily inverted for some special cases.

Availability of a Redundant System

The Laplace transform of the availability of a multicomponent system with spares, is obtained by the regeneration point technique.

On a two unit standby redundant system with imperfect switchover

Abstract The Laplace transform of the availability of a two unit standby redundant system with imperfect switchover is obtained by identifying suitable regeneration points. The steady state behaviour is also discussed.

Probabilistic analysis of a two-unit parallel redundant system

Abstract Expressions are obtained for the reliability and availability of a two-unit parallel redundant system in which all four distributions involved are arbitrary.

Study of A 2-Unit Priority-Standby System

This paper evaluates the availability of a 2-unit priority-standby repairable system by using the regeneration point technique. The particular hypothesis on the repair policy does not allow the system to be analysed via Markov renewal process.

Interval Reliability of a 2-Unit Redundant System

The interval reliability of a 2-unit redundant system is obtained by identifying suitable regeneration points.

A redundant system with non-instantaneous switchover and “preparation time” for the repair facility

Abstract This paper discusses two models of two-unit standby redundant systems in which the switchover time is a random variable and the repair facility is not available for a random time immediately after each repair completion. In model I the probability distributions of the life time of the online unit and switchover time are general while all the other distributions are exponential. Model II is a cold standby system in which the probability distributions of the “preparation time” of the repair facility is exponential and all the other distributions are general. Using the regeneration point technique the availability functions of the two systems are determined. Several special cases are also discussed.

Two-unit standby systems with non-instantaneous switchover and imperfect switch

Abstract Four models of two-unit warm standby redundant systems with non-instantaneous switchover and imperfect switching device are studied. The units and the switching device share a single repair facility. Identifying suitable regeneration points, the availability and the reliability of the systems are obtained. A numerical example illustrates the results.

Stochastic Models of 2-Unit Systems

This paper obtains the availability of two models of 2-unit standby redundant systems with two repair facilities, using the regeneration point technique.