Profit Analysis of a Computer System with Software Redundancy Subject to Hardware Inspection
DOI:
https://doi.org/10.26438/ijcse/v10i8.1522Keywords:
Computer System, Software Redundancy, Up-gradation, Inspection, Replacement, Profit Analysis and Stochastic ModellingAbstract
n this research paper, the authors examined reliability modelling of a computer system with software redundancy by introducing the concept of inspection of hardware component. The system fails independently from normal mode. All the repair activities such as hardware repair, software up-gradation, hardware inspection and hardware replacement are carried out by a single server immediately on need basis. The failed hardware component undergoes for repair or replacement after inspection. All random variables are statistically independent. The negative exponential distribution is taken for the failure time of the component while the distributions of repair time, up-gradation time and replacement time are assumed arbitrary with different probability density functions. Semi-Markov process and regenerative point technique are used for obtaining the values various performance measures. The behaviour of some important performance measure has been examined for different parameters and costs. The profit comparison of the present model has also been made with that of the model analyzed by Munday and Malik [2015].
References
[1]. R.E., Barlow, P., Prochan, “Mathematical theory of Reliability”, John Wiley, New York, 1965.
[2]. M.H., Branson, B., Shah, “Reliability Analysis of System Comprises of Units with Arbitrary Repair Time Distributions”, IEEE Transactions on Reliability, Vol. 20, pp. 217 – 223, 1971.
[3]. J.R., Arora, “Reliability of Several Standby-Priority-Redundant Systems”, IEEE Transaction on Reliability, Vol. R–26, Issue 4, pp. 290 – 293, 1977.
[4]. K., Adachi, M., Kodama, “Availability Analysis of Two-Unit Warm Standby System with Inspection Time”, Microelectronics Reliability, Vol. 20, pp. 445-455, 1980.
[5]. M.N., Gopalan, R.S., Naidu, “Cost-Benefit Analysis of a One-Server System Subject to Inspection”, Microelectronics Reliability, Vol. 22, pp. 699 – 705, 1982.
[6]. L.R., Goel, G.C., Sharma, P., Gupta, “Reliability Analysis of a System with Preventive Maintenance, Inspection and Two Types of Repair”, Microelectronics Reliability, Vol. 26, Issue 3, pp. 429 – 433, 1986.
[7]. S.K., Singh, R.P., Singh, “Profit Evaluation of Two-Unit Cold Standby System Changing Two Types of Independent Repair Facilities”, International Journal of Management and System, Vol. 8, Issue 3, pp. 277-288, 1991.
[8]. R.K., Tuteja, S.C., Malik, “A System with Pre-Inspection and Two Types of Repairman”, Microelectronics Reliability, Vol. 34, Issue 3, pp. 373 – 377, 1994.
[9]. S. R.,Welke, S. W., Labib, A. M., Ahmed, “Reliability Modeling of Hardware/ Software System”, IEEE Transactions on Reliability, Vol. 44,Issue 3, pp.413-418, 1995.
[10]. V.S.S., Yadavalli, Chanderasekhar, R., Natarajan, “A study on two-unit standby system with Erlangian repair time”, Asia-Pacific Journal of Operational Research, Vol. 21, Issue 3, pp. 271-277, 2004.
[11]. Jyoti, Anand, S.C., Malik, “Analysis of a Computer System with Arbitrary Distributions for H/W and S/W Replacement Time and Priority to Repair Activities of H/W over Replacement of the S/W”, International Journal of Systems Assurance Engineering and Management, Vol. 3, Issue 3, pp. 230-236, 2012.
[12]. Jitender, Kumar, Mukender Singh, Kadyan, Suresh Chander, Malik, “Cost-analysis of a two-unit cold standby system subject to degradation, inspection and priority”, Maintenance and Reliability, Vol. 14, Issue 4, pp. 278-283, 2012.
[13]. S.C., Malik, J.K., Sureria, “Profit Analysis of a Computer System with H/W Repair and S/W Replacement”, International Journal of Computer Applications, Vol.47, Issue 1, pp. 19-26, 2012.
[14]. Sudesh K., Barak, S.C., Malik, “A Standby System with Priority to Repair over Preventive Maintenance”, International Journal of Engineering Research, Vol. 3, Issue 4, pp. 241-244, 2014.
[15]. Anju, Dhall, S.C., Malik, V.J. Munday “A Stochastic System with Possible Maintenance of Standby Unit and Replacement of the Failed Unit Subject to Inspection”, International Journal of Computer Applications, Vol. 97, Issue 8, pp. 26-30, 2014.
[16]. S.C., Malik, V.J., Munday, “Stochastic Modeling of a Computer System with Hardware Redundancy”, International Journal of Computer Applications, Vol. 89, Issue 7, pp. 26-30, 2014.
[17]. R.K., Bhardwaj, Komaldeep, Kaur, S.C., Malik, “Stochastic Modeling of a System with Maintenance and Replacement of Standby Subject to Inspection”, American Journal of Theoretical and Applied Statistics, Vol. 4, Issue 5, pp. 339-346, 2015
[18]. Ashish, Kumar, Monika S., Barak, S.C., Malik, “Economic Analysis of a Computer System with Software Up-gradation and Priority to Hardware Repair over Hardware Replacement Subject to Maximum Operation and Repair Times”, International Journal of Scientific and Engineering Research, Vol. 6, Issue 4, pp. 1661-1668, 2015.
[19]. V.J., Munday, S.C., Malik, “Stochastic Modelling of a Computer System with Software Redundancy”, International Journal of Engineering and Management Research, Vol. 5, Issue 1, pp.295-302, 2015.
[20]. Permila, S.C., Malik, “Stochastic Analysis of a 2-out-of-2: G System with Single Cold Standby and Replacement Using Weibull Distribution”, Journal of Statistics and Management Systems, Vol. 20, Issue 6, pp. 1051-1063, 2017.
[21]. A. Kumar, M., Saini, “Stochastic Modeling and Cost-benefit Analysis of Computing Device with Fault Detection Subject to Expert Repair Facility”, Vol. 10, Issue 3, pp. 391-401, 2018.
[22]. V.J. Munday, Permila, “Reliability Measures of a Computer System with Software Redundancy Subject to Maximum Repair Time”, World Journal of Engineering Research and Technology, Vol. 6, Issue 5, pp. 161-173, 2020.
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