Availability evaluation of repairable system requiring two types of supporting device for operations
DOI:
https://doi.org/10.14419/ijamr.v6i1.7069Published:
2017-02-08Keywords:
Availability, Supporting Device, Probabilistic, Single Unit.Abstract
With advancement of modern science and technology, complex systems connected to an external supporting device for their operations have been manufactured to meet the demand of industries, economic growth and populace in general. Companies and organizations heavily rely on these systems to conduct their business. This study presents the availability assessment of a single unit system connected to two types of an external supporting device for its operation. Each type of supporting device has two copies I and II. First order differential equations method is used to obtain the explicit expression for the steady-state availability. Based on assumed numerical values given to system parameters, graphical illustrations are given to highlight important results. Comparisons are performed to highlight the impact of unit failure and repair rates.
References
[1] Hajeeh, M. (2012) ‘Availability of a system with different repair options’, International Journal of Mathematics in Operational Research, Vol. 4, No. 1, pp.41–55. https://doi.org/10.1504/IJMOR.2012.044472.
[2] Hu, L., Yus, D. and Li, J. (2012) Availability analysis and design optimization for a repairable series-parallel system with failure dependencies, International Journal of Innovative Computing, Information and Control, Vol. 8, No. 10, pp.6693–6705.
[3] Jain, M. and Rani, S. (2013) ‘Availability analysis for repairable system with warm standby, switching failure and reboot delay’, Int. J. of Mathematics in Operational Research, Vol. 5, No. 1, pp.19–39. https://doi.org/10.1504/IJMOR.2013.050605.
[4] Trivedi, K. S. Probability and Statistics with Reliability, Queueing and Computer Science Applications, 2nd ed., John Wiley and Sons, New York, 2002.
[5] Wang, K-H. and Chen, Y.J. (2009) ‘Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures’, Applied Mathematics and Computation, Vol. 2, No. 15, pp.384–394. https://doi.org/10.1016/j.amc.2009.05.023.
[6] Wang, K.-H. and Kuo, C.-C.(2000). Cost and probabilistic analysis of series systems withmixed standby components. Applied Mathematical Modelling, 24, 957-967. https://doi.org/10.1016/S0307-904X(00)00028-7.
[7] Wang, K.-H. and Ke, J.-C. (2003). Probabilistic analysis of a repairable system with warm standbys plus balking and reneging. Applied Mathematical Modelling, 27, 327-336. https://doi.org/10.1016/S0307-904X(02)00133-6.
[8] Wang, K-H., Yen, T-C. and Fang, Y-C. (2012) ‘Comparison of availability between two systems with warm standby units and different imperfect coverage’, Quality Technology and Quantitative Management, Vol. 9, No. 3, pp.265–282. https://doi.org/10.1080/16843703.2012.11673291.
[9] Yusuf, I and Bala, S.I. (2013). Analysis of reliability characteristics of a parallel system with external supporting devices for operation, International Journal of Information and Management Sciences 24, 297-306.
[10] Yusuf, I. (2014). Comparative analysis of profit between three dissimilar repairable redundant systems using supporting external device for operation, Journal of Industrial Engineering International, 10(77), 1-9. https://doi.org/10.1007/s40092-014-0077-3.
[11] Yusuf, I.,Yusuf, B and Lawan, A.M. (2014). Mathematical modeling approach to analyzing mean time to system failure of two unit cold standby system with a supporting device and repairable service station, OJMMO, 2(2):7-15. https://doi.org/10.12966/ojmmo.05.01.2014.
[12] Yusuf, I., Ali, U.A., Babagana, M and Gimba, B. (2015). Probabilistic models for MTSF comparison between systems connected to supporting device for operation, American Journal of Computational and Applied Mathematics 2015, 5(5): 140-146.
[13] Yusuf, I., Babagana, M., Yusuf, B and Lawan, A.M. (2016). Reliability analysis of a linear consecutive 2-out-of-3 system in the presence of supporting device and repairable service station, International Journal of Operations Research Vol. 13, No. 1, 13ï€24 .
[14] Yusuf, I. (2016). Reliability modelling of a parallel system with a supporting device and two types of preventive maintenance, Int. J. Operational Research, Vol. 25, No. 3,269-287. https://doi.org/10.1504/IJOR.2016.074754.
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