题目：On k-out-of-n Assembly Systems: Component Level vs System Level

嘉宾：丁维勇 博士（河北联合大学）

时间：2014年8月18日16:00-17:00

地点：管理科研楼10楼1018会议室

单位：管理学院统计与金融系

摘要：

A well-known principle in engineering is that redundancy at component level is more effective than that at system level, here the redundancy simply means that components are connected in parallel. Motivated by this principle, in this paper, a more general problem of assembling k-out-of-n systems optimally is studied. We consider two assembled systems, one is by assembling a k-out-of-n system and a l-out-of-m system at the system level, and the other one is by assembling them at component level. With some appropriate assumptions on (n,k) and (m,l), some results on stochastic comparisons of the two assembly systems are derived. From which, some useful principles for assembling K-out-of-N-systems optimally are proposed. Some numerical examples are given to illustrate our results as well