Relative Aging of Coherent Systems
研究了当组件寿命独立同分布时，通过相对老化序对相干系统进行随机比较，利用签名刻画系统结构，推导了系统按相对老化排序的充分条件，并讨论了双系统的相对老化。
In this article, we carry out the stochastic comparison between coherent systems through the relative aging order when component lifetimes are independent and identically distributed. We make use of the signature to characterize the structure of coherent systems, and derive several sufficient conditions under which the compared systems with the common size can be ordered in the sense of relative aging. Specially, we present some scenarios wherein the better a coherent system is, the faster it ages. Moreover, we discuss the relative aging of dual systems as well. Several numerical examples are provided to illustrate the theoretical results. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 345–354, 2017