Improving the Performance of a Series-Parallel System Based on Lindley Distribution

Authors

Abdelfattah Mustafa, Mathematics Department, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia\\ Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
M. I. Khan, Mathematics Department, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaFollow
Maher. A. Alraddadi, Mathematics Department, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaFollow

Author Country (or Countries)

Egypt

Abstract

In this article, the performance of a series-parallel system is improved. The system components are assumed to follows independently and identically Lindley distributed with three parameters. The system reliability for the given system will be improved by using reduction method, hot, cold and imperfect duplication method. Some reliability measures are derived. Two types of reliability equivalence factors and gamma fractiles are calculated. A numerical example is introduced to explain the theoretical results.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170518

Recommended Citation

Mustafa, Abdelfattah; I. Khan, M.; and A. Alraddadi, Maher. (2023) "Improving the Performance of a Series-Parallel System Based on Lindley Distribution," Applied Mathematics & Information Sciences: Vol. 17: Iss. 5, Article 18.
DOI: https://dx.doi.org/10.18576/amis/170518
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss5/18