CAJ | 학술논문

考虑由独立元件组成的两个串(并)联系统，其元件寿命服从寿命参数不同，但形状参数相同的逆Weibull分布。证明了串联系统的生存函数(失效率函数)关于寿命参数向量在p-阶大序(占优序)意义下递减。若形状参数小于(大于)1，证明了并联系统的反向失效率关于寿命参数向量在占优序意义下递减(递增)。作为以上结论的简单应用，利用寿命参数的几何(代数)平均值，还建立了串(并)联系统可靠性函数的上界。
고필유독립원건조성적량개천(병)련계통，기원건수명복종수명삼수불동，단형상삼수상동적역Weibull분포。증명료천련계통적생존함수(실효솔함수)관우수명삼수향량재p-계대서(점우서)의의하체감。약형상삼수소우(대우)1，증명료병련계통적반향실효솔관우수명삼수향량재점우서의의하체감(체증)。작위이상결론적간단응용，이용수명삼수적궤하(대수)평균치，환건립료천(병)련계통가고성함수적상계。
In this paper, we consider two different systems consisting of independent com-ponents with inverse Weibull distributions whose characteristic life parameters are heterogeneous, but the shape parameters are common. It is shown that the sur-vival function (hazard rate) of a series system is decreasing in the characteristic life parameter vector with respect to p-larger (majorization) ordering. It is also shown that the reversed hazard rate of a parallel system is decreasing (increasing) in characteristic life parameter vector with respect to majorization ordering if the common shape parameters are less (greater) than 1. As a consequence, the simple upper bound on the survival function of the series (parallel) systems is built in terms of geometric (arithmetic) mean of the characteristic life parameters.