On the afternoon of July 2, 2019, Professor Qianmei Feng from the Department of Industrial Engineering at the University of Houston, Texas, was invited to visit the School of Management and Economics of Beijing Institute of Technology and gave an academic report entitled “Reliability Analysis for Multiple Degradation Processes Using Multidimensional Lévy Processes”.Nearly 20 teachers and students of the School attended the report. The report was hosted by Professor Cui Lirong.
Qianmei Feng is a professor in the Department of Industrial Engineering at the University of Houston, Texas.She received her Ph.D. in Industrial Engineering from the University of Washington.Her research interests include system modeling, analysis and optimization of quality and reliability engineering, and healthcare. She has published more than 40 academic papers in international journals such as ISE Transactions, IEEE Transactions on Reliability, Reliability Engineering and System Safety, Computers and Industrial Engineering, Journal of Operational Research Society.Her research is supported by the National Science Foundation, the Texas Department of Transportation, and the Texas Higher Education Coordination Committee.She is also a member of the editorial board of several international journals.
In this report, Professor Feng first introduced the concept of complex degradation processes and the challenges faced by multiple random shocks.In order to more completely deal with the dependence and jump uncertainty in the degradation process, Professor Feng constructed a multidimensional Lévy process to describe the multidimensional dependent degradation process in the engineering system.And the Clayton Lévy copula function is used to describe the dependence between different dimensions.Finally, Professor Feng deduced the reliability function and life moment of the system, and gave numerical examples.