Int J Performability Eng ›› 2021, Vol. 17 ›› Issue (12): 981-988.

### Reliability Assessment Model for Deterioration Systems Subject to Cumulative Damage

Kalaivani Ma,*, and Kannan Rb

1. aDepartment of Mathematics and Statistics, SRM Institute of Science and Technology, Chennai, 603203, India;
bDepartment of Statistics, Annamalai University, Annanmalai Nagar, 608002, India
• Contact: * E-mail address: kalaivam1@srmist.edu.in

Abstract: Engineering Systems performance usually degrades over time; when shocks exist, the degradation could be faster. This paper analyzes the stochastic performance of the deteriorating systems when degradation and shocks are involved. Deterioration is caused by aging subject to gamma process, sudden damages modeled by Poisson process and additional damages modeled by Poisson square wave process. The effect of two shocks and their arrival times are statistically independent. The failure time of the system is obtained using Monte Carlo Simulation when the cumulative damage exceeds the breaking threshold. The most commonly used graphical presentation of the empirical reliability function is obtained on the basis of the simulated dataset. A numerical example with sensitivity analyses is illustrated for the proposed model and simulation approach.