MODELS OF HIERARCHAL REPLACEMENT

被引:2
作者
JOHNSON, NL [1 ]
KOTZ, S [1 ]
机构
[1] TEMPLE UNIV,DEPT MATH,PHILADELPHIA,PA 19122
关键词
Exponential distribution; Failure times; Hierarchal replacement; Survival time distribution; Weibull distribution;
D O I
10.1109/TR.1979.5220609
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Conclusions Replacement problems can take a wide variety of forms. We discuss techniques which can be applied to a rather broad class of problems, including as special cases many practical situations. The models incorporate allowances for both-i) replacement from aging stocks, ii) hierarchal structures for replacement elements of different kinds. For the most part, each level of elements in the hierarchy has its own (common) life distribution (whether in stock or in service); it is shown how to modify the distribution in a straightforward way for effects of aging in stock. Of the very large range of possible replacement procedures, we select for special study the two extreme cases of continually increasing specialization (many for one) and continually increasing generality (one for many). A convenient and flexible notation is presented, and methods of using standard probabilistic techniques in deriving life distributions of the systems are described. Copyright © 1979 by The Institute of Electrical and Electronics Engineers, Inc.
引用
收藏
页码:292 / 299
页数:8
相关论文
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GROSSWALD E, 1979, 1218 U N CAR I STAT
[2]  
JOHNSON NL, 1977, URN MODELS THEIR APP, pCH1
[3]  
JOHNSON NL, 1970, DISTRIBUTIONS STATIS, V1, P197
[4]  
KRAKOWSKI M, 1973, REV FR AUTOMAT INFOR, V7, P107