References
- Aven, T., & Castro, I.T. (2008). A minimal repair replacement model with two types of failure and a safety constraint. European Journal of Operational Research, 188, 506–515.
- Barlow, R.E., & Hunter, L.C. (1960). Optimum preventive maintenance policies. Operations Research, 8, 90–100.
- Block, H.W., Borges, W.S., & Savits, T.H. (1985). Age-dependent minimal repair. Journal of Applied Probability, 22, 370–385.
- Castro, I.T., & Pe´rez-Ocón, R. (2006). Reward optimization of a repairable system. Reliability Engineering and System Safety, 91, 311–319.
- Cheng, G.Q., & Li, L. (2011). Two different general monotone process models for a deteriorating system and its optimisation. International Journal of Systems Science, 42, 57–62.
- Cheng, G.Q., & Li, L. (2012). A geometric process repair model with inspections and its optimisation. International Journal of Systems Science, 43, 1650–1655.
- Finkelstein, M.S. (1993). A scale model of general repair. Microelectronics Reliability, 33, 41–44.
- Gael, L.R., & Gupta, R. (1985). Cost analysis of a two unit priority standby system with imperfect switch and arbitrary distributions. Microelectronics Reliability, 25, 65–69.
- Jain, M., & Gupta, R. (2013). Optimal replacement policy for a repairable system with multiple vacations and imperfect fault coverage. Computers and Industrial Engineering, 66(4), 710–719.
- Jaturonnatee, J., Murthy, D.N.P., & Boondiskulchok, R. (2006). Optimal preventive maintenance of leased equipment with corrective minimal repairs. European Journal of Operational Research, 174, 201–215.
- Lam, Y. (1988a). Geometric processes and replacement problem. Acta Mathematicae Applicatae Sinica, 4(4), 366–377.
- Lam, Y. (1988b). A note on the optimal replacement problem. Advances in Applied Probability, 20, 479–482.
- Lam, Y. (2007a). The geometric process and its applications. Singapore: World Scientific.
- Lam, Y. (2007b). A geometric process maintenance model with preventive repair. European Journal of Operational Research, 182, 806–819.
- Lam, Y., & Zhang, Y.L. (2004). A shock model for the maintenance problem of a repairable system. Computers and Operations Research, 31, 1807–1820.
- Leung, K.N.F., & Lee, Y.M. (1998). Using geometric processes to study maintenance problems for engines. International Journal of Industrial Engineering, 5, 316–323.
- Leung, K.N.F., Zhang, Y.L., & Lai, K.K. (2010). A bivariate optimal replacement policy for a cold standby repairable system with repair priority. Naval Research Logistics, 57, 149–158.
- Leung, K.N.F., Zhang, Y.L., & Lai, K.K. (2011). Analysis for a two-dissimilar-component cold standby repairable system with repair priority. Reliability Engineering and System Safety, 96, 1542–1551.
- Liang, X., Lam, Y., & Li, Z. (2011). Optimal replacement policy for a general geometric process model with delta-shock. International Journal of Systems Science, 42(12), 2021–2034.
- Nakagawa, T., & Kowada, T.K. (1983). Analysis of a system with minimal repair and its application to replacement policy. European Journal of Operational Research, 12, 176–182.
- Phelps, R.I. (1981). Replacement policies under minimal repair. Journal of the Operational Research Society, 32, 549–554.
- Ross, S.M. (1996). Stochastic processes (2nd ed.). New York, NY: Wiley.
- Sheu, S.H., & Chang, C.C. (2009). An extended periodic imperfect preventive maintenance model with age-dependent failure type. IEEE Transactions on Reliability, 58, 397–405.
- Sheu, S.H., Li, S.H., & Chang, C.C. (2012). A generalised maintenance policy with age dependent minimal repair cost for a system subject to shocks under periodic overhaul. International Journal of Systems Science, 43, 1007–1013.
- Stadje, W., & Zuckerman, D. (1990). Optimal strategies for some repair replacement models. Advances in Applied Probability, 22, 641–656.
- Stanley, A.D.J. (1993). On geometric processes and repair replacement problems. Microelectronic and Reliability, 33, 489–491.
- Wang, G.J., & Zhang, Y.L. (2007). An optimal replacement policy for repairable cold standby system with priority in use. International Journal of Systems Science, 38, 1021–1027.
- Wang, G.J., & Zhang, Y.L. (2009). A bivariate mixed policy for a simple repairable system based on preventive repair and failure repair. Applied Mathematical Modelling, 2009(33), 3354–3359.
- Wang, G.J., & Zhang, Y.L. (2011). A bivariate optimal replacement policy for a cold standby repairable system with preventive repair. Applied Mathematics and Computation, 218, 3158–3165.
- Wang, G.J., & Zhang, Y.L. (2013). Optimal repair-replacement policies for a system with two types of failures. European Journal of Operational Research, 226, 500–506.
- Yearout, R.D., Reddy, P., & Grosh, D.L. (1986). Standby redundancy in reliability: A review. IEEE Transactions on Reliability, R-35, 285–292.
- Yu, M., Tang, Y., & Fu, Y. (2013). A geometric process model for M/PH(M/PH)/1/K queue with new service machine procurement lead time. International Journal of Systems Science, 44, 1061–1075.
- Yu, M., Tang, Y., Liu, L., & Cheng, J. (2013). A phase-type geometric process repair model with spare device procurement and repairman’s multiple vacations. European Journal of Operational Research, 225(2), 310–323.
- Yuan, L., & Xu, J. (2011). A deteriorating system with its repairman having multiple vacations. Applied Mathematics and Computation, 217, 4980–4989.
- Zhang, M., Xie, M., & Gaudoin, O. (2013). A bivariate maintenance policy for multi-state repairable systems with monotone process. IEEE Transactions on Reliability, 62(4), 876–886.
- Zhang, Y.L. (1994). A bivariate optimal replacement policy for a repairable system. Journal of Applied Probability, 31, 1123–1127.
- Zhang, Y.L. (1999). An optimal geometric process model for a cold standby repairable system. Reliability Engineering and System Safety, 63, 107–110.
- Zhang, Y.L. (2002). A geometric process repair model with good-as-new preventive repair. IEEE Transactions on Reliability, R-51, 223–228.
- Zhang, Y.L. (2008). A geometric process repair model for a repairable system with delayed repair. Computers and Mathematics with Applications, 55, 1629–1643.
- Zhang, Y.L., & Wang, G.J. (2007). A deteriorating cold standby repairable system with priority in use. European Journal of Operational Research, 183, 278–295.
- Zhang, Y.L., & Wang, G.J. (2011). An optimal repair-replacement policy for a cold standby system with use priority. Applied Mathematical Modelling, 35, 1222–1230.