Open AccessStochastic Analysis of Two Non-identical Unit Parallel System Incorporating Waiting Time and Preventive Maintenance
Author(s) -
S. E. Abu-Youssef,
Fatima A. Assed
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i2.7763
Subject(s) - preventive maintenance , reliability (semiconductor) , laplace transform , mathematics , reliability engineering , random variable , unit (ring theory) , failure mode and effects analysis , function (biology) , variable (mathematics) , statistics , engineering , mathematical analysis , power (physics) , physics , mathematics education , quantum mechanics , evolutionary biology , biology
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.