Modelling the Reliability of a Complex Repairable System (Aircraft Engine) Using Weibull Distribution Model and Gamma Distribution Model (A Case Study of Arik Airline Aircraft Engine)

N.F. Adeleye¹ , O. Fatoki²

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.4 , pp.23-32, Aug-2022

Online published on Aug 31, 2022

Copyright © N.F. Adeleye, O. Fatoki . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The reliability of a complex repairable system that is mended (but not replaced) after failure will frequently rely on the system`s age in chronological terms. A non-homogeneous Poisson process can be used to describe this age-dependent dependability if only minimum repairs are undertaken in order to prevent the immediate rate of system failure from being perturbed. This study examined the theoretical and practical consequences of the non-homogeneous Poisson process model for reliability and provides estimation, comparison, and goodness of fit techniques when the process has a Weibull reliability process model and a Gamma reliability process model. Applications of the Weibull model in the field of reliability and the Gamma model also in the area of reliability are discussed. There are two categories of systems: non-repairable systems and repairable systems. The term ``system`` used in this research work simply means a component. If the continuous operation of a system is desired, then in the former case, the system would be repairable or replaced by a new system upon failure. The aircraft engine is a complicated device that periodically needs maintenance and repair. This research discussed how the Weibull process model (a non-homogeneous Poisson process) and the Gamma distribution model can be used as a new approach to modelling aircraft engine life. The two models were compared to determine which model was the better model. This is to improve the quality of services provided by the aviation industries and to also reduce the rate of plane crash in the aviation industry. A methodology constructed on data generated from several systems was used to estimate the process parameters. A methodology constructed on data generated from several systems was used to estimate the process parameters. By analysing both data fit and forecasting accuracy, these models` overall capability is determined.

Key-Words / Index Term :
Reliability, Complex System, System Failure, Non-Homogeneous Poisson Process (NHPP), Homogeneous Poisson Process (HPP), Weibull Model, Gamma Model, Non-repairable System, Repairable System, Total Reliability Period, Total Flying Time, Flying Hours, Aircraft Engine, Parameters.

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