• Ami Kumar

Redundancy is the technique which is generally used to enhance the system performance at both the levels (according to the requirement of the system) i.e. at system level as well as unit level. The aim of this paper is to investigate a system which is having a k-out-of-n: F (for specific value of k and n) unit along with a standby unit with perfect switching i.e. when the k-out-of-n: F unit of the system is failed then standby unit take charge with the help of a switch which automatically turns the standby unit when get a signal that main unit of the system is failed. The study is carried out by developing a mathematical model for the considered system with the help of Makov birth-death process and then solve the developed model by using supplementary variable technique and Laplace transformation to draw some important system’s performance characteristics namely availability, reliability, MTTF and sensitivity analysis. Graphs are drawn to get more insights and clearly about the obtained results.

k-out-of-n: F; standby unit; Makov birth-death process; supplementary variable technique; system’s performance characteristics;

"Investigation of a system having k-out-of-n and standby sub systems", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.290-301, February-2019, Available :http://www.jetir.org/papers/JETIREL06055.pdf

"Investigation of a system having k-out-of-n and standby sub systems", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp290-301, February-2019, Available at : http://www.jetir.org/papers/JETIREL06055.pdf