Abstract
The foremost concentration of the contemporary work is to investigate a two dissimilar unit system stochastically by adopting the notion of priority in repair activities. Here, two various types of priorities are given and three stochastic models are developed. The first model is basic one in which no priority is given, in second model original unit’s repair got preference over duplicate unit’s repair activities while in third model original unit’s repair got preference over preventive maintenance of duplicate unit. A full-time repairman always remains with system and PM timings are already specified in advance. The behaviour of all time-dependent random variables is Weibull distributed. The random variables have common shape and distinct scale parameters. Expressions for numerous processes of system efficiency have been acquired and shown graphically to climax the significance of the work.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
P. Chandrasekhar, R. Natarajan, V.S.S. Yadavalli, A study on a two unit standby system with Erlangian repair time. Asia-Pac. J. Oper. Res. 21(03), 271–277 (2004)
S.K. Chhillar, A.K. Barak, S.C. Malik, Reliability measures of a cold standby system with priority to repair over corrective maintenance subject to random shocks. Int. J. Stat. Econ. 13(1), 79–89 (2014)
R. Gupta, P. Kumar, A. Gupta, Cost-bbenefit analysis of a two dissimilar unit cold standby system with Weibull failure and repair laws. Int. J. Syst. Assur. Eng. Manag. 4(4), 327–334 (2013)
A. Kumar, M. Saini, Cost-benefit analysis of a single-unit system with preventive maintenance and Weibull distribution for failure and repair activities. J. Appl. Math. Stat. Inform. 10(2), 5–19 (2014)
R. Kishan, D. Jain, Classical and Bayesian analysis of reliability characteristics of a two-unit parallel system with Weibull failure and repair laws. Int. J. Syst. Assur. Eng. Manag. 5(3), 252–261 (2014)
A. Kumar, M. Saini, K. Devi, Performance analysis of a redundant system with weibull failure and repair laws. Revista Investigacion Operacional 37(3), 247–257 (2016)
M.S. Barak, D. Yadav, S. Kumari, Stochastic analysis of a two-unit system with standby and server failure subject to inspection. Life Cycle Reliab. Saf. Eng. (2017). https://doi.org/10.1007/s41872-017-0033-5
S.C. Malik, S. Deswal, Stochastic analysis of a repairable system of non-identical units with priority for operation and repair subject to weather conditions. Int. J. Comput. Appl. 49(14), 33–41 (2012)
A. Kumar, S.C. Malik, Reliability modeling of a computer system with priority to s/w replacement over h/w replacement subject to MOT and MRT. Int. J. Pure Appl. Math. 80, 693–709 (2012)
R. Moghassass, M.J. Zuo, J. Qu, Reliability and availability analysis of a repairable-out-of-system with repairmen subject to shut-off rules. IEEE Trans. Reliab. 60, 658–666 (2011)
Y.L. Zhang, G.J. Wang, A geometric process repair model for a repairable cold standby system with priority in use and repair. Reliab. Eng. Syst. Safety 94, 1782–1787 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Saini, M., Kumar, A., Devi, K. (2021). Stochastic Investigation of Two-Unit Redundant System with Provision of Different Repair Schemes. In: Sharma, M.K., Dhaka, V.S., Perumal, T., Dey, N., Tavares, J.M.R.S. (eds) Innovations in Computational Intelligence and Computer Vision. Advances in Intelligent Systems and Computing, vol 1189. Springer, Singapore. https://doi.org/10.1007/978-981-15-6067-5_1
Download citation
DOI: https://doi.org/10.1007/978-981-15-6067-5_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-6066-8
Online ISBN: 978-981-15-6067-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)