Model Selection for the Reliability of a Machine
DOI:
https://doi.org/10.24203/t586vt58Keywords:
Distribution, maximum likelihood method, log-linear model, non-homogeneous poisson process, power law model.Abstract
Model selection is an important factor in the non-homogeneous poisson process used to determine the reliability of a machine. In this article, the most commonly used power law model and log-linear model in the non-homogeneous poisson process are compared. For the reliability of a bank's ATM machine, the reliability values and expected failure numbers were calculated according to both models by using the times between failures. The obtained values were compared and it was decided which model was the better choice.
References
Zahedi, H. (2018). Repairable systems reliability; modeling, inference, misconceptions and their cause. J. Qual. Technol., 21(4), 298-299.
Crowder, M.J., Kimber, AC., Smith, R.L., Sweeting, T.J. (1991). Statistical analysis of reliability Data. Chapman and Hall/CRC London.
Saldanha, P.L.C., Simone, E.A., Melo, P.F.F.. (2001). An application of non-homogeneous poisson process to the reliability analysis of service water pumps. Nucl. Eng. Des., 210(2001), 125-133.
Ascher, H., Hansen, C.K.. (1998). Spurious exponentially observed when incorrectly fitting a distribution to nonstationary data. IEEE Trans. Reliab., (47), 451-459.
Elsayed, E.A.. (1996). Reliability engineering. 1st Edition, Addison Wesley Longman.
Lawless, J.F. (2003). Statistical models and methods for lifetime data. John Wiley, New York.
London, D. (1988). Survival models and their estimation. Actex Publications Winsted and Avon.
Bugatekin, A. (2017). Testing the reliability of a machine with non-homogeneous poisson process. Fırat University Journal of Engineering Sciences, 29(1), 207-211.
Jones, R.B. (1995). Risk Based Management: A Reliability Centered Approach. Gulf Publishing Company.
Kumar, U., Klefsjö, B. (1992). Reliability analysis of hydraulic systems of LHD machines using the power law process model. Reliability Engineering and System Safety, 35(3), 217-224.
Samanta, B., Sarkar, B., Mukherjee, S.K. (2001). Reliability analysis of shovel machines used in an open cast coal mine. Mineral Resources Engineering, 10(2), 219-231.
Wang, P., Coit, D.W. (2005). Repairable systems reliability trend tests and evaluation. Annual Reliability and Maintainability Symposium, 416-421.
Perera, L.P., Machado, M.M., Valland, A., Manguinho, D.A. (2015). Modelling of system failures in gas turbine engines on offshore platforms. IFAC-Papers Online, 48(6), 194-199.
Ye, Z.S., Xie, M., Tang, L.C. (2013). Reliability evaluation of hard disk drive failures based on counting process. Reliability Engineering System Safety, 8, 110-118.
Wang, Z.M., Yu, X. (2012). Log-linear process modeling for repairable systems with time trends and its applications in reliability assessment of numerically controlled machine tools. J. Risk Reliab., 227(1), 55-65.
Chattarje, S., Singh, J.A. (2014). A NHPP based software reliability model and optimal release policy with logistic-exponential test coverage under imperfect debugging. International Journal of System Assurance Engineering Management, 5(3), 399-406.
Rausand, M., Hoyland, A. (2004). A system reliability theory: Models, statistical methods and application. Wiley, New York.
Uzgören, N., Elevli, S. (2020). Non-homogeneous poisson process: Reliability analysis of a mining equipment. Gazi University Journal of Engineering and Architecture Faculty, 25(4), 827-837.
Crow, L,H. (1974). Reliability analysis for complex systems in reliability and biometry. edited by F. Proschan and R. J. Serfling., Philadelphia SIAM, 379-410.
Meeker, W.Q. Escobar, L.A. (1998). Statistical methods for reliability data. Wiley, New York.
Cox, D.R., Lewis, P.A.W. (1966). The statistical analysis of series of events. Methuen, London.
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