Exploiting performance analysis of redundant system (KM+1S)

İncorporating fault coverage and reboot delay

¹ Department of Mathematics, Graphic Era Deemed to be University, Dehradun, India
² Department of Mathematics, Computer Science & Engineering Graphic Era Deemed to be University, Dehradun, India
³ Institute of Advanced Manufacturing Technologies, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia

^* Corresponding Author: nupurgoyal.math@geu.ac.in

Received: 12 July 2021
Accepted: 23 January 2022

Abstract

The present investigation seeks the steady state availability, reliability and mean time to failure of the 1-out-of (k + 1): G redundant system. A system having k active units (kM) and one unit (1S) as a warm standby redundancy have considered. The effects of various parameters on reliability measures have been analyzed by deriving two models. Model I is designed as a reliability model and Model II for steady state availability. The assumptions have been made that the detected faults in the redundant system is covered imperfectly. The Markov process, supplementary variable technique, Laplace transformation are adopted to determine the transient behavior of the system. Presented results based on numerical data to demonstrate the practical utilization of the developed models. This study is very helpful for the engineers to design a highly reliable redundant system with high profit in the industry.