RELIABILITY ANALYSIS OF ACTIVE REDUNDANT SYSTEM USING GEOMETRIC DISTRIBUTION
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Abstract
The present paper is an initiative taken towards study and analysis of industries concerning different maintenance strategies towards their products on behalf of their working and maintenance level. The objective of presenting the concept of the dual nature of repair for units having extra or major failures in addition to regular ones is well explained. The stochastic analysis of reliability characteristics using regenerative techniques for the system consisting of two parallel units following the active-standby redundancy and having different repair time distributions was also studied using geometric distribution. The numerical equations and results are being evaluated for reliability parameters like mean time to system failure, availability of the system in operative form, down period of the system following repair mechanism using regenerative techniques, and geometric distribution. The graphical analysis has also been presented for-profit function with respect to repair and failure rate.
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References
Martz H.F., Waller R. A. (1990). Bayesian reliability analysis of complex series/parallel systems of binomial subsystems and components, Technometrics, 32: 407-416.
Acar E., Solanki K. (2009). System reliability based vehicle design for crashworthiness and effects of various uncertainty reduction measures, Structural and Multidisciplinary Optimization, 39: 311-325.
Dai. Y. S., Levitin G. (2006). Reliability and performance of tree-structured grid services, IEEE Transactions on Reliability, 55: 337-349.
Tian Z., Zuo M. J., Huang H. (2008). Reliability-redundancy allocation for multi-state series-parallel systems, IEEE Transactions on Reliability, 57: 303-310.
Du M., Li Y. F. (2020). An investigation of new local search strategies in memetic algorithm for redundancy allocation in multi-state series-parallel systems, Reliability Engineering & System Safety, 195: 106703.
Ram M., Singh S. B., Singh V. V. (2013). Stochastic analysis of a standby system with waiting repair strategy, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 43: 698-707.
Kumar G., Jain V., Soni U. (2019). Modelling and simulation of repairable mechanical systems reliability and availability, International Journal of System Assurance Engineering and Management, 10: 1221-1233.
Perman M., Senegacnik A., Tuma M. (1997). Semi-Markov models with an application to power-plant reliability analysis, IEEE Transactions on Reliability, 46: 526-532.
Chen W. L. (2018). System reliability analysis of retrial machine repair systems with warm standbys and a single server of working breakdown and recovery policy, Systems Engineering, 21: 59-69.
Bhatti J., Kakkar M. K. (2021). Reliability analysis of cold standby parallel system possessing failure and repair rate under geometric distribution, Recent Advances in Computer Sciences and Communications, 14: 962-968.
Hua D., Elsayed E. A. (2015). Reliability estimation of k-out-of-n pairs: G balanced systems with spatially distributed units, IEEE Transactions on Reliability, 65: 886-900.
Lee S. H., Park T. W., Chung K. H., Choi K. H., Kim K. K., Moon K. H. (2011). Requirement-based testing of an automotive ECU considering the behaviour of the vehicle, International Journal of Automotive Technology, 12: 75-82.
Levitin G., Xing L., Haim H. B., Dai Y. (2013). Reliability of series-parallel systems with random failure propagation time, IEEE Transactions on Reliability, 62: 637-647.
Adler P., Mallwitz R., (2021). Time-based reliability analysis of electrolytic capacitors for automotive applications using multi-domain simulation, 22nd International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), St. Julian, Malta, 1-6.
Bhatti J., Kakkar M. K., Kaur M., Deepika, Khanna P. (2021). Stochastic analysis to mechanical system to its reliability with varying repairing services, Chebyshevskii Sbornik, 22: 92-104.
Hua D., Elsayed E. A. (2015). Degradation analysis of k-out-of-n pairs: G balanced systems with spatially distributed units, IEEE Transactions on Reliability, 65: 941-956.
Popovic P., Ivanovic G., Mitrovic R., Subic A. (2012). Design for reliability of a vehicle transmission system, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 226: 194-209.
Liu Y., Huang H. Z., (2010). Optimal selective maintenance strategy for multi-state systems under imperfect maintenance, IEEE Transactions on Reliability, 59: 356-367.
Mihalache A., Guerin F., Barreau M., Todoskoff A. (2006). Reliability analysis of mechatronic systems using censored data and Petri nets: application on an antilock brake system (ABS), RAMS’ 06 Annual Reliability and Maintainability Symposium, IEEE, USA, 140-145.
Srihari P. V., Govindarajulu K., Ramachandra K. (2010). A method to improve reliability of gearbox fault detection with artificial neural networks, International Journal of Automotive and Mechanical Engineering, 2: 221-230.
Nourelfath M., Fitouhi M. C., Machani M. (2010). An integrated model for production and preventive maintenance planning in multi-state systems, IEEE Transactions on Reliability, 59: 496-506.
Bhatti J., Bhardwaj N., Kumar S. (2021). Mathematical modelling to industrial repair and maintenance policy system for its reliability, Mathematical Modeling and Computing, 8: 465-473.
Haggag M. Y. (2009). Cost analysis of two-dissimilar-unit cold standby system with three states and preventive maintenance using linear first order differential equations, Journal of Mathematics and Statistics, 5: 395-400.
Bhatti J., Kakkar M. K., Bhardwaj N., Kaur M., Deepika, (2020). Reliability analysis to industrial active standby redundant system, Malaysian Journal of Science, 39: 74-84.
Bhatti J., Kakkar M. K., Kaur M. (2021). Stochastic analysis to a power supply system through reliability modelling, Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, Issue Mathematics, 41: 35-43.