Abstract
The proper functioning of hardware and software components is necessary for successful operation of a computing system and also to provide undisrupted services to the customers. Therefore, in this paper, a stochastic model is developed for a computing system with unit wise cold standby redundancy. There are two units- one unit (computing system) is initially operative, and the other is standby unit (computing system). In each unit hardware and software components work simultaneously but independently. A single repair facility is engaged with arrival time to carry out the repair activities (hardware repair and software up-gradation). The computing system is repaired at the hardware failure while it is upgraded when the software fails to follow the instructions as per requirement. The reliability characteristics of the system have been analyzed in steady-state using the semi-Markov process and regenerative point technique. The Weibull distribution is assumed for failure time of the components, repair & up-gradation time of the components, and arrival time of the repair facility. The values of some significant performance measures such as mean time to computing system failure (MTCSF), availability, and finally the profit function have been obtained for arbitrary values of the parameters.
References
A. Kumar; M. Saini; K. Devi; Analysis of a redundant system with priority and Weibull distribution for failure and repair. Cogent Mathematics, 3(1), 1135721, (2016).
Ajay Kumar; Reena Garg; M. S. Barak; Reliability measures of a cold standby system subject to refreshment. International Journal of System Assurance Engineering and Management, 1-9, (2021).
K. Barak; S. C. Malik; Reliability measures of a standby system with arrival time of the server subject to maximum operation and repair times. International Journal of Simulation: Systems, Science and Technology, UK (IJSSST), 14(5), 55-62, (2014).
Kumar; M. Saini; Profit analysis of a computer system with preventive maintenance and priority subject to maximum operation and repair times. Iran Journal of Computer Science, 1(3), 147-153, (2018).
Kumar; S. C. Malik; Profit analysis of a computer system with priority to software replacement over hardware repair subject to maximum operation and repair times. International Journal of Engg. Science and Technology (IJEST), 3(10), 7452-7468, (2011).
R. Gupta; P. Kumar; A. Gupta; Cost benefit analysis of a two dissimilar unit cold standby system with Weibull failure and repair laws. International Journal of System Assurance Engineering and Management, 4(4), 327-334, (2013).
S. Chander; Reliability models with priority for operation and repair with arrival time of server. Pure and Applied Mathematika Sciences, 61(1-2), 9-22, (2005)
S. K. Srinivasan; M. N. Gopalan; Probabilistic analysis of a 2-unit cold-standby system with a single repair facility. IEEE Transactions on Reliability, 22(5), 250-254, (1973).
S. Kadyan; Gitanjali; M. S. Barak; Stochastic analysis of a non-identical repairable system of three units with priority for operation and simultaneous working of cold standby units. International Journal of Statistics and Reliability Engineering, 7(2), 269-274, (2020).
S.C. Malik; S. K. Chauhan; N. Ahlawat; Reliability analysis of a non series–parallel system of seven components with Weibull failure laws. International Journal of System Assurance Engineering and Management, 11(3), 577-582, (2020).
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