Multicomponent Systems With Multiplicative Aging and Dependent Failures

被引:12
作者
Anastasiadis, Simon [1 ]
Arnold, Richard [2 ]
Chukova, Stefanka [2 ]
Hayakawa, Yu [3 ]
机构
[1] Motu Econ & Publ Policy Res, Wellington 6142, New Zealand
[2] Victoria Univ Wellington, Sch Math Stat & Operat Res, Wellington 6140, New Zealand
[3] Waseda Univ, Sch Int Liberal Studies, Tokyo 1698050, Japan
关键词
Decay functions; dependent components; multicomponent system; Poisson fatal and nonfatal shock processes; simulation; BLOCK REPLACEMENT POLICIES; 2-COMPONENT SYSTEM; 2-UNIT SYSTEM; SHOCK PROCESS; MAINTENANCE; MODEL;
D O I
10.1109/TR.2013.2241152
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We extend our earlier studies of a multicomponent system accumulating damage due to a series of fatal and nonfatal shocks. The model introduces statistical dependence among the system components by associating individual shock processes with potentially overlapping subsystems made up of groupings of components. We construct an aging and statistical dependence model where damage accumulates multiplicatively with each shock. We derive a representation of the system's joint survival function, and show that the Marshall-Olkin multivariate exponential model can be obtained as a special case of this model. We propose an approach to the simulation of the performance of the system, and provide several illustrative examples. We conclude by identifying possible further extensions of this model.
引用
收藏
页码:286 / 295
页数:10
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