Analysis of periodic preventive maintenance with general system failure distribution

2002 ◽  
Author(s):  
Dongyan Chen ◽  
K.S. Trivedi
Keyword(s):  
Preventive Maintenance ◽  
General System ◽  
System Failure ◽  
Failure Distribution ◽  
Periodic Preventive Maintenance

A general shock model for a reliability system

2000 ◽  
Vol 37 (04) ◽  
pp. 925-935 ◽  
Author(s):  
Georgios Skoulakis
Keyword(s):  
Distribution Function ◽  
Point Process ◽  
Renewal Process ◽  
General System ◽  
System Structure ◽  
Random Numbers ◽  
System Failure ◽  
Shock Model ◽  
Stieltjes Transform ◽  
Special Cases

We study a reliability system subject to shocks generated by a renewal point process. When a shock occurs, components fail independently of each other with equal probabilities that are random numbers drawn from a distribution that may differ from shock to shock. We first consider the case of a parallel system and derive closed expressions for the Laplace-Stieltjes transform and the expectation of the time to system failure and for its density in the case that the distribution function of the renewal process possesses a density. We then treat a more general system structure, which has some very important special cases, such as k-out-of-n:F systems, and derive analogous formulae.

A general shock model for a reliability system

2000 ◽  
Vol 37 (4) ◽  
pp. 925-935 ◽  
Author(s):  
Georgios Skoulakis
Keyword(s):  
Distribution Function ◽  
Point Process ◽  
Renewal Process ◽  
General System ◽  
System Structure ◽  
Random Numbers ◽  
System Failure ◽  
Shock Model ◽  
Stieltjes Transform ◽  
Special Cases

We study a reliability system subject to shocks generated by a renewal point process. When a shock occurs, components fail independently of each other with equal probabilities that are random numbers drawn from a distribution that may differ from shock to shock. We first consider the case of a parallel system and derive closed expressions for the Laplace-Stieltjes transform and the expectation of the time to system failure and for its density in the case that the distribution function of the renewal process possesses a density. We then treat a more general system structure, which has some very important special cases, such as k-out-of-n:F systems, and derive analogous formulae.

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