TY - JOUR T1 - Reliability and availability analyses of an industrial system with two subsystems arranged in series-parallel AU - Maihulla, Anas Sani AU - Yusuf, İbrahim AU - Koo, Michael Boon Chong PY - 2024 DA - October JF - Sigma Journal of Engineering and Natural Sciences JO - SIGMA PB - Yildiz Technical University WT - DergiPark SN - 1304-7191 SP - 1500 EP - 1510 VL - 42 IS - 5 LA - en AB - The research focuses on the reliability analysis of a complex system comprising two inter-connected subsystems. Each subsystem consists of three identical units arranged in parallel. The operational policy employed is the 1-out-of-3: G policy, which means that as long as at least one unit is operational in each subsystem, the system as a whole remains functional. The failure rates of the units within the subsystems are consistent and follow an exponential distribution. To address unit failures and repair them, the Gumbel-Hougaard copula repair method is employed. The research investigates various reliability metrics, including system availability, system reliability, mean time to failure (MTTF), and sensitivity analysis. The researchers employ stochastic theory, differential equations, and supplementary variables to model and analyze the reliability behavior of the system. Moreover, the model’s findings can guide decision-making processes related to system design, component selection, and maintenance strategies. System engineers and managers can utilize the insights gained from the reliability analysis to optimize the system’s performance, enhance its reliability, and reduce costs associated with maintenance and repair. KW - Availability KW - Copula; Exponential Distribution KW - Failure Rate KW - Subsystems KW - Reliability CR - REFERENCES CR - [1] Ram M, Singh V, Rawal D. Cost analysis of an engineering system involving subsystems in series configuration. IEEE Trans Autom Sci Eng 2013;10:1–10. [CrossRef] CR - [2] Kullstam PA. Availability, MTBF, MTTR for the repairable M-out-of-N system. IEEE Trans Reliab. 1981;R30:393–394. [CrossRef] CR - [3] Di Bona G, Forcina A, Sivestri A. Critical flow method: a new reliability allocation approach for a thermonuclear system. Qual Reliab Eng Int 2016;32:1677–1691. [CrossRef] CR - [4] Di Bona G, Forcina A, Petrillo A, De Felice F. A–IFM reliability allocation model based on multicriteria approach. Int J Qual Reliab Manag 2016;33:676–698. [CrossRef] CR - [5] Liang X, Xiong Y, Li Z. Exact reliability formula for consecutive K-out-of-N repairable systems. IEEE Trans Reliab 2010;59:313–318. [CrossRef] CR - [6] Singh VV, Singh SB, Ram M, Goel CK. Availability, MTTF, and cost analysis of a system having two units in a series configuration with a controller. Int J Syst Assur Eng Manag 2013;4:341–352. [CrossRef] CR - [7] Gulati J, Singh VV, Rawal DK, Goel CK. Performance analysis of complex system in series configuration under different failure and repair discipline using copula. Int J Reliab Qual Saf Eng 2016;23:812–832. [CrossRef] CR - [8] Gulati J, Singh VV, Rawal DK, Goel CK. Performance analysis of complex system in series configuration under different failure and repair discipline using copula. Int J Reliab Qual Saf Eng 2016;23:812–832. [CrossRef] CR - [9] Jia X, Shen J, Xing R. Reliability analysis for repairable multistate two-unit series systems when repair time can be neglected. IEEE Trans Reliab 2016;65:208–216. [CrossRef] CR - [10] Kumar A, Pant S, Singh SB. Availability and cost analysis of an engineering system involving subsystems in a series configuration. Int J Qual Reliab Manag 2017;34:879– 894. [CrossRef] CR - [11] Maihulla AS, Yusuf I. Reliability and performance prediction of a small serial solar photovoltaic system for rural consumption using the Gumbel-Hougaard family copula. Life Cycle Reliab Saf Eng 2021;10:347–354. [CrossRef] CR - [12] Maihulla AS, Yusuf I. Reliability analysis of reverse osmosis filtration system using copula. Reliab Theory Appl 2022;17:163–177. CR - [13] Maihulla AS, Yusuf I, Bala SI. Performance evaluation of a complex reverse osmosis machine system in water purification using reliability, availability, maintainability, and dependability analysis. Reliab Theory Appl 2021;16:115–131. CR - [14] Maihulla AS, Yusuf I. Performance analysis of photovoltaic systems using (RAMD) analysis. J Niger Soc Phys Sci 2021;3:172–180. [CrossRef] CR - [15] Maihulla AS, Yusuf I, Isa MS. Reliability modeling and performance evaluation of solar photovoltaic system using Gumbel–Hougaard family copula. Int J Qual Reliab Manag 2022;39:20412057. [CrossRef] CR - [16] Maihulla A, Yusuf I, Abdullahi I. Reliability evaluation of reverse osmosis system in water treatment using modified Weibull distribution. Int J Reliab Risk Saf 2023;6:55–61. UR - https://dergipark.org.tr/en/pub/sigma/issue//1553621 L1 - https://dergipark.org.tr/en/download/article-file/4230066 ER -