"Solving Renewal Equations and Some Related Reliability Research Problems"
1er Décembre 2011, 14h en C443
Prof. Min Xie, (Chair Professor Department of Systems Engineering and Engineering Management City University of Hong Kong)
In reliability and related studies such as warranty cost analysis, replacement and maintenance policies, inventory control, etc., we frequently face the problem of solving renewal equations which is a type of convolution integral equation. As we normally do not have close form solution, bounds or approximations are commonly used. In this talk, we first present an early study on a method based on direct integration of the Riemann-Stieltjes integral. A simple and iterative algorithm could provide surprisingly accurate results. We also discuss some related research issues from this study. Various interesting research problems were later started as the outcome of this experience.
M. Xie did his undergraduate study at Royal Inst of Technology in Sweden and graduated with a MSc in 1984. He later received his PhD from Linkoping University in 1987. He joined the National University of Singapore in 1991 as one of the first recipients of the prestigious Lee Kuan Yew Fellowship. In May 2011, Prof Xie moved to City University of Hong Kong as Chair professor of industrial engineering. He was an invited professor to INPG, France, in 2000 and a William Mong Visiting Fellow to Univ of Hong Kong in 1996. Prof Xie has published over 200 journal papers and 8 books, including “Software Reliability Modelling” by World Scientific, “Weibull Models” by John Wiley, “Stochastic Aging and Dependence for Reliability” by Springer, “Advanced QFD Applications” by ASQ Quality Press. He is an editor, associate editor and on the editorial board of more than 15 established international journals. He also served as main chair at a number of international conferences, including the yearly IEEM conference he started in 2007. Prof Xie has supervised 30 PhD students and his students hold regular position in banking, industry and academia in different continents. Prof Xie is elected fellow of IEEE and Inst of Engineer Singapore, and an elected member of Int Statistical Inst.