An n Unit System Operating in a Random Environment

被引:0
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作者
P. Chandrasekhar
R. Natarajan
V. S. S. Yadavalli
A. Malada
机构
[1] Loyola College,Department of Statistics
[2] Presidency College,Department of Mathematics
[3] University of Pretoria,Department of Industrial and Systems Engineering
关键词
Intermittently used systems; Markov process; Product density;
D O I
10.1007/BF03398735
中图分类号
学科分类号
摘要
An n unit system operating in a random environment is considered. The environment determines the number of units required for the satisfactory performance of the system. Assuming that a unit in standby can fail and that the environment is described by a Markov Process, we obtain expressions for (1) the distribution and the moments of the time to the first disappointment and (2) the expected number of disappointments over an arbitrary interval (o, t].
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页码:280 / 287
页数:7
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