Assessing the Bridge Structure’s System Reliability Utilizing the Generalized Unit Half Logistic Geometric Distribution

Ahlam H. Tolba (), Osama Abdulaziz Alamri and Hanan Baaqeel
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Ahlam H. Tolba: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Osama Abdulaziz Alamri: Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Hanan Baaqeel: Department of Statistics, King Abdulaziz University, Jeddah 105343, Saudi Arabia

Mathematics, 2024, vol. 12, issue 19, 1-21

Abstract: Reliability is now widely recognized across various industries, including manufacturing. This study investigates a system composed of five components, one of which is a bridge network. The components are assumed to follow the generalized unit half logistic geometric distribution (GUHLGD) with equal failure rates over time. The following three improvement methods are considered: reduction, cold duplication, and hot duplication. The reliability function and mean time to failure (MTTF) are employers liability equivalence factors (REFs). Additionally, the λ fractiles of both the original and enhanced systems are obtained. Numerical results illustrate the effectiveness of these techniques, with cold duplication shown to be the most effective, offering higher reliability and MTTF compared to hot duplication. The enhanced system outperforms the original system overall.

Keywords: bridge framework; GUHLGD; equivalence of reliability; ? fractiles; improvement techniques (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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