Effectiveness Analysis of Two Unit Cold Standby System with Fault Detection, Inspection and Priority

By : Darpandeep Kour, J P Singh Joorel, Neha Sharma

Page No: 111-129

Abstract
This paper deals with a two unit (non-identical) system in which first unit is operative and other is kept as cold standby. On failure upon of first unit (main unit), the standby unit (secondary unit) becomes operative while failed unit puts first for fault detection and then for its repair. If no fault is detected then it becomes again operative. There is also a inspection policy for main unit to check whether the repair is perfect or not. In case the repair is not perfect it is again put under post repair. If both the units stop working the system will shut down. The main unit gets priority for both operation and repair. There is a single repair facility which is available with the system for repair as well as for fault detection, inspection and post repair. The distributions associated to different times including repair time of main unit, random variables, are assumed to be exponential but with different parameters while the post repair time of main unit and repair time of secondary unit is taken as general. Using regenerative point technique the various characteristics of the system have been obtained which help in studying the effectiveness of the system such as transition probabilities, mean time to system failure, availability, busy period of repairman and expected profit incurred.

Authors :
Neha Sharma : Department of Statistics University of Jammu, Jammu-180006, India
J P Singh Joorel : Department of Statistics University of Jammu, Jammu-180006, India
Darpandeep Kour : Department of Statistics University of Jammu, Jammu-180006, India
 

DOI: https://doi.org/10.32381/JCISS.2018.43.1-4.8