R.K. Bhardwaj and Ravinder Singh. Semi-Markov Model of a Standby System with General Distribution of Arrival and Failure Times of Server.
. 2015; 3(3):105-110. doi: 10.12691/AJAMS-3-3-4
semi-markov model, standby system, server arrival time, server failure
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[1] | BARLOW, R., Applications of semi-Markov processes to counter and reliability problems, Technical Report No. 57, Applied Math. and Stat. Labs., Stanford University. (1960). |
|
[2] | Cinlar, E., “Markov renewal theory”, Advances in Applied Probability, 1(2), 123-187, (1969). |
|
[3] | Singh, S. K., Srinivasu, B., “Stochastic analysis of a two unit cold standby system with preparation time for repair”, Microelectronics Reliability, 27(1), 55-60, 1987. |
|
[4] | Smith, W.L., “Renewal Theory and Its Ramifications”, Journal of the Royal Statistical Society. Series B (Methodological), Vol. 20(2), 243-302, (1958). |
|
[5] | Chhillar, S. K., Barak, A. K., Malik, S. C., “Analysis of a Parallel System with Priority to Maintenance over Repair Subject to Random Shocks”, American Journal of Mathematics and Statistics, 3(5), 258-264, (2013). |
|
[6] | Mahmoud, M. A. W., El-Din, M. M., Moshref, M. E. S., “Reliability analysis of a two-unit cold standby system with inspection, replacement, proviso of rest, two types of repair and preparation time”, Microelectronics Reliability, 35(7), 1063-1072, 1995. |
|
[7] | Malik, S. C., Sureria, J. K., “Profit Analysis of a Computer System with H/W Repair and S/W replacement”, International journal of Computer Applications, 47(1), 19-26, (2012). |
|
[8] | Malik, S.C., Gitanjali, “Cost-Benefit Analysis of a Parallel System with Arrival Time of the Server and Maximum Repair time”, International Journal of Computer Applications, 46(5), 2012. |
|
[9] | Nakagawa, T., Osaki, S., “Stochastic behaviour of a two-unit priority standby redundant system with repair”, Microelectronics Reliability, 14(3), 309-313, (1975). |
|
[10] | Singh, S. K., Srinivasu, B., “Stochastic analysis of a two unit cold standby system with preparation time for repair”, Microelectronics Reliability, 27(1), 55-60, 1987. |
|
[11] | Bhardwaj, R.K., Kaur, Komaldeep, “Reliability and Profit Analysis of a Redundant System with Possible Renewal of Standby Subject to Inspection”, International Journal of Statistics and Reliability Engineering, 1 (1), 36-46, (2014). |
|
[12] | Osaki, S., Nakagawa, T., “On a two-unit standby redundant system with standby failure”, Operations Research, 19(2), 510-523, (1971). |
|
[13] | Subramanian, R., Venkatakrishnan, K. S., Kistner, K. P., “Reliability of a repairable system with standby failure”, Operations Research, 24(1), 169-176, (1976). |
|
[14] | Dhankar, A.K., Bhardwaj, R.K., Malik, S.C., “Reliability Modeling and Profit Analysis of a System with Different Failure Modes and Replaceable Server Subject To Inspection”, Int. J. of Statistics and Analysis, 2(3), 245-255, (2012). |
|
[15] | Malik, S. C., Dhankar, A.K., “Reliability Modeling and Cost-Analysis of a System with Replacement of the server and Unit subject to Inspection”, Journal of Statistics and Management Systems, 16(2-3), 137-162, (2013). |
|
[16] | Bhardwaj, R.K., Singh, Ravinder, “Semi Markov Approach for Asymptotic Performance Analysis of a Standby System with Server Failure”, International Journal of Computer Applications, 98(3), 9-14 (2014). |
|
[17] | Bhardwaj, R.K., Singh, Ravinder, “Steady State Behavior of a Cold-Standby System with Server Failure and Arbitrary Repair, Replacement & Treatment”, International Journal of Applied Engineering Research, 9(24), 26563-26578, (2014). |
|
[18] | Feller, W., An introduction to probability theory and its applications, John Wiley & Sons Inc., Vol.-I, (1968). |
|