报告题目:Optimization issues in k-out-of-n systems

报告所属学科：管理科学与工程

报告人：Shey-Huei Sheu(台湾科技大学、亚洲大学（台湾）)

报告时间：2019年10月11日 13:30

报告地点：将军路校区经管楼715室

报告摘要：

The k-out-of-n system is a system consisting of n independent components such that the system works if and only if at least k of these n components are successfully running. Each component of the system is subject to shocks which arrive according to a non-homogeneous Poisson process. When a shock takes place, the component is either minimally repaired (type 1 failure) or lying idle (type 2 failure). Assume that the probability of type 1 failure or type 2 failure depends on age. First, we investigate a general age replacement policy for a k-out-of-n system that incorporates minimal repair, shortage and excess costs. Under such a policy, the system is replaced at age T or at the occurrence of the (n-k+1)th idle component, whichever occurs first. Moreover, we consider another model; we assume that the system operates some successive projects without interruptions. The replacement could not be performed at age T. In this case, the system is replaced at the completion of the Nth project or at the occurrence of the (n-k+1)th idle component, whichever occurs first. For each model, we develop the long term expected cost per unit time and theoretically present the corresponding optimum replacement schedule. Finally, we give a numerical example illustrating the models we proposed. The proposed models include more realistic factors and extend many existing models.

报告人简介：

Shey-Huei Sheu received his M.Sc. (1979) in Applied Mathematics from the National Tsing Hua University, and his Ph.D. (1987) in Statistics from the University of Kentucky. He is a Chair Professor in the Department of Business Administration, Asia University, and a consultant to the Department of Medical Research, China Medical University Hospital, China Medical University. He was a Chair Professor of the Industrial Management Department at the National Taiwan University of Science and Technology and was a Chair Professor of the Department of Data Science and Big Data Analytics at the Providence University. He has published over one hundred and fifty papers in several prestigious journals in the fields of statistics, reliability, operations research, and systems engineering.