Comprehensive Reliability and Performance Estimation of Multi-State Sequential System through General and Copula Repair Techniques

الموضوعات : Reliability and system safety

Ibrahim Yusuf ¹ , Kabiru Garba Ibrahim ² , Hamisu Ismail Ayagi ³

1 - Department of Mathematical Sciences, Bayero University, Kano, Nigeria
2 - Department of Mathematics, Federal University, Dutse, Nigeria
3 - Yusuf Maitama Sule University

تاريخ الإرسال : 20 الإثنين , ربيع الأول, 1446 تاريخ التأكيد : 12 الجمعة , جمادى الثانية, 1446

الکلمات المفتاحية: Availability, serial, reliability, system, sensitivity,

ملخص المقالة :

The purpose of this work is to look into some of the dependability aspects of measuring the effectiveness of a four-subsystem serial system. Subsystem 1  has one unit in series with other subsystems, subsystem 2  has three units in parallel, subsystem 3  has three units in parallel, and subsystem 4  has three units in parallel. In a series configuration, both subsystems are connected partially and completely failing the system is a possibility. The partial failure mode is thought to have left the system in a degraded state, whereas the total failure mode causes the system to stop functioning. Failures are assumed to follow an exponential distribution, whereas repair is assumed to follow one of the general or Gumbel-Hougaard family copulas. The system is investigated using an extra variable and the Laplace transform. Profit analysis was derived by utilizing dependability parameters such as availability, reliability, and Mean Time to Failure (MTTF). The system has been investigated throughout the project. The computed results were displayed in a graph, and the value of the analysis was conveyed in the conclusion section. The analysis of tables and figures highlights the effectiveness and applicability of both the copula approach and the general repair framework. Notably, the copula-based repair method exhibits superior reliability, availability, and profitability compared to the general repair framework. Furthermore, the findings aid pump decision-makers in anticipating future advances in pump performance, ensuring the safe and reliable operation of water pumps. It can also be employed in additional applications that require greater head and flow pumps.

المصادر:

Abubakar, M.I. and Singh, V.V. (2019) ‘Performance assessment of an industrial system (African Textile Manufactures Ltd.) through copula linguistic approach’, Operation Research and Decisions, Vol. 29, No. 4, pp.1–18.
Ahmed, S.A., Muiz, A., Mubashir, M and Ahmed, W. (2016). Efficiency enhancement of centrifugal water pump by using in;et guided vanes, European Journal of Advances in Engineering and Technology, 3(10), 1-4.
Bordeasu, D.; Dragan, F.; Filip, I.; Szeidert, I.; Tirian, G.O. Estimation of Centrifugal Pump Efficiency at Variable Frequency for Irrigation Systems. Sustainability 2024, 16, 4134. https://doi.org/10.3390/ su16104134
Cheng, L.; Zhang, K.-Y.; Zhang, Y.-L.; Jia, X.-Q. Effect on Starting Modes on Centrifugal Pump Performance. Processes 2022, 10, 2362. https://doi.org/10.3390/pr10112362
Dehnavi, E.; Solis, M.; Danlos, A.; Kebdani, M.; Bakir, F. Improving the Performance of an Innovative Centrifugal Pump through the Independent Rotation of an Inducer and Centrifugal Impeller Speeds. Energies 2023, 16, 6321. https://doi.org/10.3390/ en16176321
Hawash, S.A., El-gazzar, D.M.S and El-samanoudy, M.A. (2015). Reliability improvements to centrifugal pump performance in conjunction with inducers, CFD comparative study, Journal of Earth Science and Engineering 5, 296-305. Doi:10.17265/2159-581X/2015.05.004.
Jilani, A and Razali, A. (2017). Centrifugal Pump Performance Characteristics for Domestic Application, MATEC Web of Conferences 225, 05011 (2018), UTP-UMP-VIT SES 2018, ) https://doi.org/10.1051/matecconf/201822505011
Jiang, Q., Hen, Y., Liu, X., Zhang, W., Bois, G and Si, Q. (2019). A Review of Design Considerations of Centrifugal Pump Capability for Handling Inlet Gas-Liquid Two-Phase Flows, Energies, 12, 1078, 2-18; doi:10.3390/en12061078
Kumar, A.,Singh, A and Maurya, R.M. (2018). Assessment of Mechanical Problems for Centrifugal Pumps in Eastern Uttar Pradesh, India. International Journal of Advanced Engineering, Management and Science (IJAEMS), 4(9), 686-689.
Mortazavi, S.M., Mohamadi, M and Jouzdani, J. (2018). MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system. Journal of Industrial Engineering International, 14, 281–291.
Pagayona, E.; Honra, J. Multi-Criteria Response Surface Optimization of Centrifugal Pump Performance Using CFD for Wastewater Application. Modelling 2024, 5, 673–693. https://doi.org/ 10.3390/modelling5030036
Poonia, P. (2021) Performance assessment of a multi-state computer network system in series configuration using copula repair. Int J Reliab Saf 15(1/2):68–88
Qazizada, M.E and Pivarciova, E. (2018). Reliability of parallel and serial centrifugal pumps for dewatering in mining process, Acta Montanistica Slovaca, 23(2), 141-152.
Sayed, E., Abdelsamee, A.A and Ghazaly, N.M. (2020). Classification Model using Neural Network for Centrifugal Pump Fault Detection, International Journal of Systems Signal Control and Engineering Application, 13(4), 120-126.
Selvakumar, J and Natarajan, K. (2017). Reliability analysis of centrifugal pump through FMECA and FEM, International Journal of Performability Engineering, 13(2), 119-128.
Singh, V. V., Abubakkar, M. I., Ibrahim, K, H. and Yusuf, I.(2021). Performance assessment of the complex repairable system with n-identical units under (k-out-of-n: G) scheme and copula linguistic repair approach, Int. J. Q. Reliab. Manage. 39(2),367–386
Singh, V. V., Lado, A. K., Chand, U and Maiti, S. S.(2022). Performance assessment of complex system under the k-out-of-n: G type configuration with k consecutive degraded states through copula repair approach, Int. J. Q. Reliab. Saf. Eng. (2022), doi:10.1142/S0218539321500479
Singh, V.V. and Poonia, P. K. (2022) Stochastic analysis of k-out-of-n: G type of repairable system in combination of subsystems with controllers and multi repair approach. Journal of Optimization in Industrial Engineering, Vol. 15, No. 1, pp. 121–130.
Singh, V.V., Poonia, P.K. and Abdullahi, A.H. (2020). Performance analysis of a complex repairable system with two subsystems in series configuration with an imperfect switch, J. Math. Comput. Sci., 10(2), pp. 359–383.
Xie, L., Lundteigen, M.A., Liu, Y., Kassa, E and Zhu, S.(2019). Performance Assessment of Safety-instrumented Systems Subject to Cascading Failures in High-demand Mode, Proceedings of the 29th European Safety and Reliability Conference (ESREL),2019, DOI: 10.3850/978-981-11-2724-3_0318-cd
Xie, L., Lundteigen, M. A., & Liu, Y. (2021a). Performance assessment of K-out-of-N safety instrumented systems subject to cascading failures. ISA transactions, 118, 35-43. https://doi.org/10.1016/j.isatra.2021.02.015
Xie, L., Lundteigen, M. A., & Liu, Y. (2021b). Performance analysis of safety instrumented systems against cascading failures during prolonged demands. Reliability Engineering & System Safety, 216, 107975. https://doi.org/10.1016/j.ress.2021.107975
Yemane, A and Colledani, M. Performance analysis of unreliable manufacturing systems with uncertain reliability parameters estimated from production data, International Journal of Computer Integrated Manufacturing,2019, DOI: 10.1080/0951192X.2019.1644535
Yuan, Y.; Gong, W.; Wang, G.; Wang, J. Research on the Performance Characteristics and Unsteady Flow Mechanism of a Centrifugal Pump under Pitch Motion. Water 2023, 15, 3706. https://doi.org/10.3390/ w15203706
Yusuf, I., Lado, A. I., Singh, V. V., Ali, U. A., & Sufi, N. A. (2020). Performance analysis of multi computer system consisting of three subsystems in series configuration using copula repair policy. SN Computer Science, 1, 241. Retrieved from https://doi.org/10.1007/s
Zhu H., Pei J., Wang S., Di J and Huang X. (2019) Reliability Analysis of Centrifugal Pump Based on Small Sample Data. In: Wang K., Wang Y., Strandhagen J., Yu T. (eds) Advanced Manufacturing and Automation VIII. IWAMA 2018. Lecture Notes in Electrical Engineering, vol 484. Springer, Singapore. https://doi.org/10.1007/978-981-13-2375-1_17
Zhao,B., Yue, D., Liao, H., Liu, Y and Zhang, X. Performance analysis and optimization of a cold standby system subject to δ-shocks and imperfect repairs, Reliability Engineering and System Safety,2021, Volume 208. https://doi.org/10.1016/j.ress.2020.107330