On the inspection policy of a two-component parallel system with failure interaction

2005 ◽  
Vol 88 (1) ◽  
pp. 99-107 ◽  
Author(s):  
Rómulo I. Zequeira ◽  
Christophe Bérenguer
Keyword(s):  
Parallel System ◽  
Two Component ◽  
Inspection Policy ◽  
Failure Interaction ◽  
Component Parallel

Scheduling spares with exponential lifetimes in a two-component parallel system

1980 ◽  
Vol 17 (4) ◽  
pp. 1025-1032 ◽  
Author(s):  
Michael Pinedo
Keyword(s):  
Parallel System ◽  
Two Component ◽  
System Breakdown ◽  
Component Parallel

Consider a two-component parallel system. There is a stockpile of n spares, spare i having lifetime Xi, exponentially distributed with rate µi. The system breaks down when neither component functions. Every time a spare expires it has to be replaced, to avoid system breakdown. We investigate the policies which maximize the expected lifetime of the system using these n spares.

Scheduling spares with exponential lifetimes in a two-component parallel system

1980 ◽  
Vol 17 (04) ◽  
pp. 1025-1032
Author(s):  
Michael Pinedo
Keyword(s):  
Parallel System ◽  
Two Component ◽  
System Breakdown ◽  
Component Parallel

Consider a two-component parallel system. There is a stockpile of n spares, spare i having lifetime Xi , exponentially distributed with rate µi . The system breaks down when neither component functions. Every time a spare expires it has to be replaced, to avoid system breakdown. We investigate the policies which maximize the expected lifetime of the system using these n spares.

Optimal Periodic Inspection Policy for a Parallel System Subject to Continuous Bi-Levels Degradation

2021 ◽  
pp. 2150037
Author(s):  
Bachir Cherfaoui ◽  
Radouane Laggoune
Keyword(s):  
Main Idea ◽  
Parallel System ◽  
Initial State ◽  
Maintenance Costs ◽  
Periodic Inspection ◽  
Failure State ◽  
Global Cost ◽  
Intermediate States ◽  
Inspection Policy ◽  
Component Parallel

Each system goes through several intermediate states between its initial state and the failure state, which are called degradation states. In addition, knowing these intermediate states allows us the building of an effective maintenance plan for the system under consideration. In this paper, we have considered a two-component parallel system where each component is subjected to two levels of degradation. Our first objective is to identify the mathematical (probabilistic) model associated with this system and this when the hypothesis of periodic inspection of the system is retained. Then, the main idea is to build the economic model encompassing the different average costs (inspection costs, preventive maintenance costs and corrective maintenance costs) spent during a renewal cycle. The latter will allow us to determine the optimal “inspection interval” while minimizing the average global-cost spent. Finally, in order to illustrate and analyze the sensitivity of the optimal inspection policy to the various maintenance costs, numerical examples are presented.

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