Abstract: This study deals with the performance modeling and reliability analysis of a redundant machining system composed of several functional machines. To analyze the more realistic scenarios, the concepts of switching failure and geometric reneging are included. The time-to-breakdown and repair time of operating and standby machines are assumed to follow the exponential distribution. For the quantitative assessment of the machine interference problem, various performance measures such as mean-time-to-failure, reliability, reneging rate, etc. have been formulated. To show the practicability of the developed model, a numerical illustration has been presented. For the practical justification and validity of the results established, the sensitivity analysis of reliability indices has been presented by varying different system descriptors.
How to cite this paper
Shekhar, C., Jain, M., Raina, A & Mishra, R. (2017). Sensitivity analysis of repairable redundant system with switching failure and geometric reneging.Decision Science Letters , 6(4), 337-350.
Choudhury, A., & Medhi, P. (2011). Balking and reneging in multiserver Markovian queuing system. International Journal of Mathematics in Operational Research, 3(4), 377-394. Chandrasekaran, V. M., Indhira, K., Saravanarajan, M. C., & Rajadurai, P. (2016). A survey on working vacation queueing models. International Journal of Pure and Applied Mathematics, 106(6), 33-41. Dimou, S., & Economou, A. (2013). The single server queue with catastrophes and geometric reneging. Methodology and Computing in Applied Probability, 15(3), 595-621. Haque, L., & Armstrong, M. J. (2007). A survey of the machine interference problem. European Journal of Operational Research, 179(2), 469-482. Hajeeh, M. A. (2011). Reliability and availability of a standby system with common cause failure. International Journal of Operational Research, 11(3), 343–363. Jain, M., Shekhar, C., & Shukla, S. (2014). Markov model for switching failure of warm spares in machine repair system. Journal of Reliability and Statistical Studies, 7, 57-68. Jain, M., Sharma, G. C., & Pundhir, R. S. (2010). Some perspectives of machine repair problem. IJE Transactions B: Applications, 23(3&4), 253-268. Jain, M., & Gupta, R. (2014). Availability analysis of repairable redundant system with three types of failures subject to common cause failure. International Journal of Mathematics in Operational Research, 6(3), 271-296. Jain, M., & Rani, S. (2013). Availability analysis for repairable system with warm standby, switching failure and reboot delay. International Journal of Mathematics in Operational Research, 5(1), 19-39. Krishnamoorthy, A., Pramod, P. K., & Chakravarthy, S. R. (2014). Queues with interruptions: a survey. Top, 22(1), 290-320. Kumar, A., & Agarwal, M. (1980). A review of standby redundant systems. IEEE Transactions on Reliability, 29(4), 290-294. Kuo, C. C., & Ke, J. C. (2016). Comparative analysis of standby systems with unreliable server and switching failure. Reliability Engineering & System Safety, 145, 74-82. Lewis, E. E. (1996). Introduction to Reliability Engineering. 2nd ed., John Wiley & Sons, New York. Palm, C. (1943). Intensitätsschwankungen im Fernsprechverkehr. Ericsson Techniks, 44, 1-189. Ke, J. C., & Wang, K. H. (2002). The reliability analysis of balking and reneging in a repairable system with warm standbys. Quality and Reliability Engineering International, 18(6), 467-478. Ke, J. C., Liu, T. H., & Yang, D. Y. (2016). Machine repairing systems with standby switching failure. Computers & Industrial Engineering, 99, 223-228. Shekhar, C., Jain, M., & Raina, A. A. (2016). Transient analysis of machining system with spare provisioning and geometric reneging. International Journal of Mathematics in Operational Research, DOI: 10.1504/IJMOR.2017.10002701. Shekhar, C., Jain, M., & Bhatia, S. (2014). Fuzzy analysis of machine repair problem with switching failure and reboot. Journal of Reliability and Statistical Studies, 7, 41-55. Wang, K. H., & Sivazlian, B. D. (1989). Reliability of a system with warm standbys and repairmen. Microelectronics Reliability, 29(5), 849-860. Wang, K. H., Ke, J. B., & Ke, J. C. (2007). Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures. Computers & operations research, 34(3), 835-847. Wang, K. H., Ke, J. B., & Lee, W. C. (2007). Reliability and sensitivity analysis of a repairable system with warm standbys and R unreliable service stations. The International Journal of Advanced Manufacturing Technology, 31(11-12), 1223-1232. Wang, K. H., & Ke, J. C. (2003). Probabilistic analysis of a repairable system with warm standbys plus balking and reneging. Applied Mathematical Modelling, 27(4), 327-336. Wang, K. H., Dong, W. L., & Ke, J. B. (2006). Comparison of reliability and the availability between four systems with warm standby components and standby switching failures. Applied Mathematics and Computation, 183(2), 1310-1322. Wang, K. H., & Chen, Y. J. (2009). Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures. Applied Mathematics and Computation, 215(1), 384-394. Yang, D. Y., Wu, Z. R., & Tsou, C.S. (2015). Reliability analysis of a repairable system with geometric reneging and threshold based recovery policy. Journal of Engineering Manufacture, 229(11), 2047-2062.