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Reliability of n–Cascade System when Stress and Strength follows Extreme Value Distribution


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1 Department of Mathematics, Kakatiya University, Warangal, Andhra Pradesh, India
     

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Cascade reliability model is a special type of Stress - Strength model. The n cascade system is a hierarchical standby redundancy system, where the standby component taking the place of failed component with decreased value of stress and independently distributed strength. In this paper it has been discussed that the reliability of n cascade system whose stress and strength follow extreme value distribution. In general the extreme value distribution is applicable where the phenomena causing failure depend on the smallest or the largest value from a sequence of random variables.

Keywords

Extreme Value Distribution, Cascade System, Standby Redundancy, Stress-Strength Model.
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  • Reliability of n–Cascade System when Stress and Strength follows Extreme Value Distribution

Abstract Views: 191  |  PDF Views: 3

Authors

M. Tirumala Devi
Department of Mathematics, Kakatiya University, Warangal, Andhra Pradesh, India
K. Sandhya
Department of Mathematics, Kakatiya University, Warangal, Andhra Pradesh, India
T. S. Umamaheshwari
Department of Mathematics, Kakatiya University, Warangal, Andhra Pradesh, India

Abstract


Cascade reliability model is a special type of Stress - Strength model. The n cascade system is a hierarchical standby redundancy system, where the standby component taking the place of failed component with decreased value of stress and independently distributed strength. In this paper it has been discussed that the reliability of n cascade system whose stress and strength follow extreme value distribution. In general the extreme value distribution is applicable where the phenomena causing failure depend on the smallest or the largest value from a sequence of random variables.

Keywords


Extreme Value Distribution, Cascade System, Standby Redundancy, Stress-Strength Model.