Effect of reduction method on the performance a software defined network system using Gumbel Hougaard family copula distribution
Keywords:Reliability, Availability, MTTF, Cost analysis
This study examines a system that consists of three subsystems 1, 2 and 3. These three subsystems are each linked together in series. Subsystem 1’s three units are wired in series, subsystem 2’s three units are wired in parallel and operating under the 2-out-of-3: G; policy, and subsystem 3’s three units are wired in parallel and operating under the 1-out-of-3: G; policy. Units and subsystems failure rates are constant and follow an exponential distribution. The repair rate follow two types of distributions, namely general and Gumbel Hougaard family copula distribution. The system was studied using Laplace transforms and supplementary variable methods. For specific values of the failure and repair rates, availability, reliability, mean time to failure (MTTF), and cost analysis have been assessed. As a means to improve the system’s overall effectiveness and availability, a reduction strategy is utilized. Tables and graphs are used to display computed results.
S. Batra & R. Malhotra, Reliability and availability analysis of a standby system of PCB manufacturing unit In D. Panchal, P. Chatterjee, D. Pamucar & M. Tyagi (Eds), Reliability and risk modeling of engineering systems, EAI/Springer Innovations in Communication and Computing, Springer, Cham, Switzerland, 2021. https://doi.org/10.1007/ 978-3-030-70151-2 6.
G. Gahlot, V. V. Singh, H. I. Ayagi & I. Abdullahi, “Stochastic analysis of a two units’ complex repairable system with switch and human failure using copula approach”, Life Cycle Reliability and Safety Engineering 9 (2020) 1. https://doi.org/10.1007/s41872-019-00103-1.
Z. Ye, Z. Cai & H. Yang, “Reliability Analysis of Manufacturing Machine with Degradation and Low-quality Feedstocks”, Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM) (2020) 1.https://doi.org/10.1109/APARM49247.2020. 9209452.
H. Kabiru, V. Singh & A. Lado, “Reliability assessment of complex system consisting two subsystems connected in series configuration using Gumbel-Hougaard family copula distribution”, Journal of Applied Mathematics and Bioinformatics 7 (2017) 1. https://www.scienpress.com/journal?focus.asp?main?id=57&Subid = IV&Issue = 495935.
V. V. Singh, S. B. Singh, M. Ram & C. K. Goel, “Availability, MTTF, and cost analysis of a system having two units in a series configuration with the controller”, Int. J. Syst. Assur. Manage 4 (2013) 341. https://doi.org/ 10.1007/s13198-012-0102-0.
I. Yusuf, B. Sani & B. Yusuf, “Profit analysis of a serial-parallel system under partial and complete Failures”, Journal of Applied Sciences 19 (2019) 565. https://scialert.net/abstract/?doi=jas.2019.565.574.
S. Monika, K. Ashish, V. S. Maana & S. Deepak, “Efficient and intelligent decision support system for smart irrigation”, Journal of the Nigerian Society of Physical Sciences 4 (2022) 945. https://doi.org/10.46481/jnsps. 2022.945.
V. V. Singh, J. Gulati, D. K. Rawal & C. K. Goel, “Performance analysis of complex”, system in series configuration under different failure and repair discipline using copula. Int. J. Reliab. Qual. Safety Eng. 23 (2016) 2. https://doi.org/10.1142/S0218539316500108.
T. Neama, “Improvement of the reliability of a dependent system under copula”, International Journal of Quality & Reliability Management 35 (2018) 10. https://doi.org/10.1108/IJQRM-09-2017-0201.
I. Yusuf, M. Sani, “Performance analysis of photovoltaic systems using (RAMD) analysis”, Journal of the Nigerian Society of Physical Sciences 3 (2021) 172. https://doi.org/10.46481/jnsps.2021.194.
M. A. El-Damcese & K. A. Alltifi, “Reliability equivalence factor of a parallel system subject to time varying failure rates”, Engineering Mathematics Letters 2 (2013) 42. http://scik.org/index.php/eml/article/view/ 656.
E. E. Elshoubary & Z. F. Abu Shaeer, “Performance study of a complex system with three subsystems in series configuration using reduction method and copula distribution” International Journal of Computational Intelligence in Control 13 (2021) 19. https://www.mukpublications.com/ resources/ijcicv13-2-3.pdf.
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