School of Sciences, IGNOU, New Delhi
*Corresponding Author: Dr. Deepika, School of Sciences, IGNOU, New Delhi, E-mail: gargdeepika@ignou.ac.in
Online published on 19 August, 2017.
The reliability analysis of a complex system consisting of two subsystems A and B connected in series has been discussed in the present study. Subsystem A is of M-cylinders which consists j-out of-M: G system (more than M-j + 1 cylinders must fail for A to fail), while subsystem B consists of N nonidentical units connected in series (the failure of any one causes B to fail), also the system can fail due to critical human error from the normal efficiency state. By applying the supplementary variable technique and Laplace transformations various state probabilities either time dependent or at steady state along with reliability, availability and MTTF have been obtained. At the end, some special cases of the system have been considered.
Mean Time to Failure (MTTF), Reliability, Availability, Up State Probabilities, Complex System, Supplementary Variable Technique
