On Periodic Maintenance of a Coherent System

G Chaudhuri

doi:10.5539/ijsp.v4n3p145

Abstract

In this paper, we study a coherent system that has periodic maintenance performed at regular intervals. The exact analytical expressions are obtained for some important maintenance performance measures such as mean time between failures, average availability and mean fractional dead time. The CHA algorithm is used to do the relevant calculations. Some s-coherent structures viz., series, parallel, 2-out-of-3:G and a fire-detector system are considered to illustrate the method.

Highlights

IntroductionConsider a system under a periodic maintenance performed at regular intervals. This type of maintenance policy calls for repairing/replacing a failed component/sub-system prior to a failure of the system
We study a coherent system that has periodic maintenance performed at regular intervals
The exact analytical expressions are obtained for some important maintenance performance measures such as mean time between failures, average availability and mean fractional dead time

Summary

Introduction

Consider a system under a periodic maintenance performed at regular intervals. This type of maintenance policy calls for repairing/replacing a failed component/sub-system prior to a failure of the system. Calculations of these quantities for a large complex coherent system are prohibitive; in the literature, bounds and approximations are suggested to get simplified expressions (see Hoyland & Rausand 1994 and Mondro 2002 ) Though these approximate methods work quite well for a small system, no exact method is available to study a large complex system. Result (Chaudhuri et al 2001): For a coherent structure with m minimal path sets and Design matrix D =((D(i,j))), the structure function of the system is given by:. For a coherent structure with m minimal path sets and Design matrix D =((D(i,j))), the system reliability, under the assumption of independent components, is given by (see Chaudhuri et al 2001): R(t) =.

Fire Detector System

Conclusion