离散总试验时间变换及其应用  

Application of the Discrete Total Time on Test Transform

作　　者：孙俊锁[1] 程侃[2] 

机构地区：[1]鞍山钢铁学院数理系,辽宁鞍山114002 [2]中国科学院应用数学研究所,中国北京100080

出　　处：《鞍山科技大学学报》2000年第4期287-292,共6页Journal of Anshan University of Science and Technology

摘　　要：给出离散寿命分布的总试验时间变换的表达式H F(t) =∑∞i=0αiIBi(t)和 H F(t) =∑∞i=0αiI Bi(t) ,并讨论两者的相互关系及其单调性、连续性、正则性等分析性质 .另外 ,给出了按年龄更换问题的TTT图分析法 ,该方法的实质是在离散分布的正则TTT图上找出斜率最大的直线的端点P N(t N,H N(t N) ) ,然后由t N 确定最佳更换年龄N =F-1(t N) .The two formulas of the discrete TTT transform H * F(t)=∑∞i=0α iI B i (t) and  * F(t)=∑∞i=0α iI i (t) are given to correspond with the discret life distribution.The relations and the analytic properties such as monotony,continuity and orthogonality are discussed.In addations,the discrete TTT graphic analysing method to the age replacement problem is given,the point P * N(t * N,H * N(t * N)) of the largest slope can be found on the discrete TTT graph and the optimal replaced age N * is determined by  N *=F -1 (t * N). 

关 键 词：TTT-变换 分析性质 年令更换问题 

分 类 号：O228[理学—运筹学与控制论]