TY - JOUR AU - Ashok Kumar AU - Vipin Kapoor AU - Debabrata Ray PY - 2014/02/17 Y2 - 2024/03/29 TI - On Availability of a Series system with Imperfect Detectors JF - Defence Science Journal JA - DSJ VL - 32 IS - 3 SE - General Papers DO - 10.14429/dsj.32.6304 UR - https://publications.drdo.gov.in/ojs/index.php/dsj/article/view/6304 AB - An n-unit series system with exponential distributions for life-times and repair-time has been considered. Each unit is equipped with a detector to detect failures. Detectors are subject to two failure modes: viz. (i) instantaneous failure i.e. it fails at the time of need when a unit fails; (ii) gradual failure i.e. it fails and gives false alarm for system failure. Steady-state availability of the system is obtained by studying the underlying system equations. Behavior of steady-state unavailability has also been studied analytically. ER -