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

Authors

  • Shaaban Ebrahim Abu-Youssef Al Azhar University, Egypt
  • Fatima A. Assed Helwan university, Egypt

DOI:

https://doi.org/10.24297/jam.v14i2.7763

Keywords:

Reliability, Steady-State Availability, , Mean Time to System Failure (MTTF), Preventive Maintenance, Parallel System

Abstract

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.

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Author Biographies

Shaaban Ebrahim Abu-Youssef, Al Azhar University, Egypt

Mathematics Department, Faculty of Science, Al-Azhar university, Nasr City (11884), Cairo, Egypt

Fatima A. Assed, Helwan university, Egypt

Mathematics Department, Faculty of Science, Helwan university, Helwan, Egypt

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Published

2018-10-10

How to Cite

Abu-Youssef, S. E., & Assed, F. A. (2018). Stochastic Analysis of Two Non-identical Unit Parallel System Incorporating Waiting Time and Preventive Maintenance. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7946–7964. https://doi.org/10.24297/jam.v14i2.7763