scholarly journals Stochastic Analysis of Two Non-identical Unit Parallel System Incorporating Waiting Time and Preventive Maintenance

2018 ◽  
Vol 14 (2) ◽  
pp. 7946-7964
Author(s):  
Shaaban Ebrahim Abu-Youssef ◽  
Fatima A. Assed
Keyword(s):  
Waiting Time ◽  
Preventive Maintenance ◽  
System Performance ◽  
Stochastic Analysis ◽  
Parallel System ◽  
Supplementary Variable ◽  
Variable Technique ◽  
Common Cause ◽  
Common Cause Failure ◽  
Identical Unit

The reliability of two non-identical unit’s parallel system with two kinds of failures common cause failure and partial failures is inspected. Moreover, the preventive maintenance and waiting time to repair, a significant aspect of reliability analysis, has also been incorporated. The proposed system is assumed to a function properly if at least one of the unit is in operate mode. The system goes for preventive maintenance at random apaches. Supplementary variable technique and Laplace transform have used for solution. Our results are compared with the previous results to observe the effect of preventive maintenance and failure rates on system performance.

Stochastic analysis of two non-identical unit parallel system incorporating waiting time

2017 ◽  
Vol 34 (6) ◽  
pp. 817-832 ◽  
Author(s):  
Garima Chopra ◽  
Mangey Ram
Keyword(s):  
Waiting Time ◽  
Parallel System ◽  
Expected Profit ◽  
Present System ◽  
Time To Failure ◽  
Common Cause ◽  
Content Type ◽  
Partial Failure ◽  
Common Cause Failure ◽  
Identical Unit

Purpose The purpose of this paper is to evaluate various reliability metrics such as transition state probabilities, availability, reliability, mean time to failure and expected profit of two non-identical unit parallel system incorporating waiting time. Design/methodology/approach The present paper investigates the reliability of two non-identical unit parallel system with two types of failures: common cause failure and partial failure. Moreover, waiting time to repair, a significant aspect of reliability analysis, has also been incorporated. The considered system is assumed to function properly if at least one of the units is in operative mode. The present system is examined by using the supplementary variable technique and Laplace transformation. Findings Numerical calculation shows that the availability and the reliability of the system is minimum when the system is without partial failure and is maximum when the system is free from common cause failure. Finally, the cost analysis of the system reveals that the expected profit decreases with increase in service cost. Originality/value This paper presents a mathematical model of two dissimilar unit parallel system, through which the performance of the considered system can be improved.

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