Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach
DOI:
https://doi.org/10.13052/jrss0974-8024.132410Keywords:
Repairable systems, availability, MTTF, sensitivity MTTF, cost analysis, general repair, copula repairAbstract
A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.
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Garg, H. (2015). An approach of analyzing the reliability of industrial system using fuzzy Kolmogorov differential equation, Arab. J. Sci. Eng. Vol. 40(2), pp. 975–987.
Gahlot, M., Singh, V.V., Ayagi, H., Goel C.K. (2018), Performance assessment of repairable system in the series configuration under different types of failure and repair policies using copula linguistics, International Journal of Reliability and Safety Vol. 12 (4), pp. 348–374.
Yusuf, I., Ismail, A. L., and Ali U.A. (2020), Reliability Analysis of Communication Network with Redundant Relay Station under Partial and complete Failure, Journal of Mathematics and Computer Science Vol. 10(4), pp. 863–880.
Lado, A., Singh, V.V., Ismail, K.H., Ibrahim, Y. (2018), performance and cost assessment of the repairable complex system with two subsystems connected in a series configuration, International Journal of Reliability and Application Vol. 19(1), pp. 27—42.
Lado, A., Singh, V.V. (2019), Cost assessment of complex repairable system consisting of two subsystems in the series configuration using Gumbel–Hougaard family copula, International Journal of Quality and Reliability Management, Vol. 36(10), pp. 1683–1698.
Malik, S., Tewari, P.C. (2018), Performance modeling and maintenance priorities decision for water flow system of a coal-based thermal power plant, International Journal of Quality and Reliability Management, Vol. 35(4), pp. 996–1010.
Mortazavi, S.M., Mohamadi, M., Jouzdani, J. (2018), MTBF evaluation for 2-out-of-3 redundant repairable systems with a 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 Int. 14:281. https://doi.org/10.1007/s40092-017-0226-6
Niwas, R., and Garg, H. (2018), An approach for analyzing the reliability and profit of an industrial system based on the cost-free warranty policy, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40: 265.
Navas, M. A., Sancho, C., Carpio, J. (2017), Reliability analysis in railway repairable systems. International Journal of Quality and Reliability Management, Vol. 34(8), pp. 1373–1398.
Singh, V.V., Gulati, J., Rawal, D.K, and Goel, C.K. (2016), ’Performance analysis of the complex system in the series configuration under different failure and repair discipline using copula, International Journal of Reliability Quality and Safety Engineering, Vol. 23(2), pp. 234–237.
Singh, V.V., Ayagi, H.I. (2018), Stochastic analysis of a complex system under preemptive resume repair policy using Gumbel-Hougaard family of copula, International Journal of Mathematics in Operational Research, Vol. 12(2), pp. 273–292.
Singh, V.V., Rawal, D.K. (2015), Availability, MTTF, and cost analysis of the complex system under preemptive resume repair policy using copula distribution, Journal of Statistics and Operation Research Vol. 10(3), pp. 299–321.
Suleiman, K., Ali, U.A., Yusuf, I. (2017), Comparison between four dissimilar solar panel configurations,’ Journal of Industrial Engineering, 13:479. https://doi.org/10.1007/s40092-017-0196-8
Yusuf, I. (2016), Reliability Modeling of a Parallel System with a Supporting Device and Two Types of Preventive Maintenance, International Journal of operational Research Vol. 25(3), pp. 269–287.
Yusuf, I., Hussaini, N. (2014), A comparative analysis of three-unit redundant systems with three types of failures, Arabian Journal of Science and Engineering Vol. 39(4), pp. 3337–3349.
Taj, S.Z., Rizman, S.M., Alkali, B.M. (2017), Probabilistic modeling and analysis of a cable plant subsystem with priority to repair over preventive maintenance, Manage. Journal of Mathematics Vol. 6(3), pp. 13–21.
Damerdji, R.O, and Noureddine, M. (2014), Effect of maintenance on computer network reliability, International Journal of Computer Network and Information Security, 9, 12–19. DOI: 10.5815/ijcnis.2014.09.02.
Elyasi-Komari, I., Gorbenko, A., Kharchenko, V, and Mamalis, A. (2011), Analysis of computer network reliability and criticality: Technique and Features, International Journal of Communications, Network and System Sciences, 4, 720–726
Komari, I. E.(2007), Network Availability Assessment by Use of FME(C) A-Technique and Markova’s Models, Proceedings of IEEE International Conference of East-West Design & Test, Yerevan, 2007, pp. 697–701.
Liu L.J., (2016), Optimization design of computer network reliability based on genetic algorithms, Chemical Engineering Transactions, 51, 775–780. DOI:10.3303/CET1651130.
Lin, F., Chen, Y., An, J, and Zhou, X, An evaluation method for network reliability in ad-hoc networks, Proceedings of the 4th International Conference on Multimedia Information Networking and Security, (MINES ’12), pp. 628–631, Nanjing, China, November 2012.
Rahman, P.A. (2018), Analysis of stationary availability factor of two-level backbone computer networks with arbitrary topology, Journal of Physics: Conf. Series 1015 (2018) 022016. DOI:10.1088/1742-6596/1015/2/022016.
Singh, V. V, Poonia, P. K, Rawal, D. K, (2020), Reliability analysis of repairable network system of three computer labs connected with a server under 2- out-of- 3: G configuration, Cycle Reliability, and Safety Engineering. (DOI: 10.1007/s41872-020-00129-w)
Singh, V. V, Dilip Kumar Rawal, (2011), Availability analysis of a system having two units in a series configuration with the controller and human failure under different repair policies, International J. of Scientific and Engineering Research, vol. 2(10), pp. 1–9.
Kumar, P, and Gupta, R. (2007), Reliability analysis of a single unit M|G|1 system model with helping unit. J. of Comb. Info. & System Sciences, Vol. 32, No. 1–4, pp. 209–219.
Kumar, P, and Sirohi, A. (2011), Transient analysis of reliability with and without repair for k-out-of-n: G systems with three failure modes, J. of mathematics and computing science, Vol. 2(1), pp. 151–162.
Kumar, P, and Sirohi, A. (2015), Profit analysis of a two-unit cold standby system with the delayed repair of the partially failed unit and better utilization of units. International Journal of Computer Applications. 117(1), pp. 41–46.
Singh, V. V, Poonia, P. K, (2019), Probabilistic assessment of two unit’s parallel system with correlated lifetime under inspection using regenerative point technique, International Journal of Reliability, Risk& Safety, Theory and applications. Vol. 2(1), pp. 5–18.
Singh, V. V, Rawal, Dilip Kumar, Rawal, Ram, M., (2013), Cost analysis of an engineering system involving subsystems in a series configuration, IEEE Transactions on Automation Science and Engineering, Vol. 10(4), 2013, pp. 1124–1130.
Rawal, D. K, Ram, M, Singh, V. V, (2015), Study of Reliability Measures of a Local Area Network via Copula linguistics approach, Internal J. of Quality Reliability and Management, Vol. 32(1), pp. 97–111.
Raghav, D., Poonia, P. K., Gahlot, M., Singh, V.V., Ayagi, H.I. and Adbullahi, A.H. (2020), Probabilistic analysis of a system consisting of two subsystems in the series configuration under copula repair approach. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., Vol. 27, No. 3, pp. 137–155.
Kumar, D. and Singh, S. B. (2016), Stochastic Analysis of Complex Repairable System with Deliberate Failure Emphasizing Reboot Delay, Communications in Statistics Simulation and Computation, Vol. 45(2), pp. 583–602.
Ram, M., Manglik, Monika, (2016), An analysis to multistate manufacturing system with common cause failure and waiting repair strategy, Cogent Engineering, Vol. 3 No. 1, pp. 1–20.
Kumar, A, Pant, S, Singh, S. B., (2017), Availability and cost analysis of an engineering system involving subsystems in series configuration, Internal J. of Quality Reliability and Management, Vol. 34(6), pp. 879–894.
Singhal, M., Chauhan, R.K, and Sharma, G. (2010), Network Reliability Computation by using Different Binary Decision Diagrams, International Journal of Distributed and Parallel Systems, Vol. 1, No. 1, 82–91.
Xin J., Guo L., Huang N., Li R. (2013), Network service reliability analysis model, Chemical Engineering Transactions, 33, 511–516. DOI: 10.3303/CET1333086.
Zhang, F. (2019), Research on reliability analysis of computer networks based on intelligent cloud computing method, International Journal of Computers and Applications, 41(4), 283–288.
Gupta, N., Saini, M. & Kumar, A. (2020), Operational availability analysis of generators in steam turbine power plants. SN Appl. Science, Vol. 2, No. 4, pp. 779–790.