Int J Performability Eng ›› 2019, Vol. 15 ›› Issue (2): 353-361.

### Reliability Analysis based on Inverse Gauss Degradation Process and Evidence Theory

Yuwei Wang () and Hailin Feng

1. School of Mathematics and Statistics, Xidian University, Xi’an, 710126, China
• Submitted on  ;  Revised on  ; Accepted on
• Contact: Wang Yuwei E-mail:whelpwolf@foxmail.com

Abstract:

The degradation analysis of products has been demonstrated as a significant toolkit for reliability analysis.Datafrom the same batch of products in different working environments cannot be directly used to analyze product reliability. In this paper, motivated by this circumstance, we first assume that degradation data sets from different working environments are subject to different inverse Gaussian process models, and maximum likelihood estimation is used to obtain multiple model parameters. Secondly, we construct evidence by quantifying different information ofproducts, apply the evidence theory to fuse model parameters, and then analyze the reliability of products from the same batch. Finally, we use performance degradation data of the laser to illustrate the method.