相邻k/n(F)系统可靠度的一个简单下界

A Simple Lower Bound for Reliability of Consecutive k out of n:F Systems

本文应用布尔概率不等式推出了相邻ｋ／ｎ（Ｆ）系统可靠度的一个简单下界，该下界具有计算简便、实用的特点，在某些特定情形下较Ｄ．Ｃｈａｉｎｇ和Ｎｉｕ［１］提出的下限（部件可靠度相等）及Ｄｅｒｍａｎ和Ｌｉｅｂｅｒｍａｎ［２］提出的下限（部件可靠度不相等）更接近系统的真实可靠度，在处理具有统计相依事件的软件可靠性［４］中具有较大的应用前景。

In this paper,an application of Boole′s probability inequality results in a simple lower bound for reliability of consecutive k out of n:F systems.The lower bound for system reliability is easily computed and highly applied.In some aspects,it′s closer to the system reliability than those obtained in reference.The method of the paper is highly appropriate for solving software reliability with s dependence events.