A geometric process repair model for a cold standby repairable system with imperfect delay repair and priority in use

References

• Castro, I.T., Pérez-Ocón, R. (2006). Reward optimization of a repairable system. Reliab. Eng. Syst. Saf. 91:311–319.
   Web of Science ®Google Scholar
• Chen, J., Li, Z. (2008). An extended extreme shock maintenance model for a deteriorating system. Reliab. Eng. Syst. Saf. 93:1123–1129.
   Web of Science ®Google Scholar
• Finkelstein, M.S. (1993). A scale model of general repair. Microelectron. Reliab. 33:41–44.
   Web of Science ®Google Scholar
• Lam, Y. (1988a). Geometric processes and replacement problem. Acta Math. Appl. Sin. 4:366–377.
   Google Scholar
• Lam, Y. (1988b). A note on the optimal replacement problem. Adv. Appl. Prob. 20:479–782.
   Web of Science ®Google Scholar
• Lam, Y. (1992). Nonparametric inference for geometric process. Commun. Stat. Theory Methods 21:2083–2105.
   Web of Science ®Google Scholar
• Lam, Y. (1997). A maintenance model for two-unit redundant system. Microelectron. Reliab. 37:497–504.
   Web of Science ®Google Scholar
• Lam, Y., Chan, S.K. (1998). Statistical inference for geometric processes with lognormal distribution. Computat. Statist. Data Analy. 27:99–112.
   Web of Science ®Google Scholar
• Lam, Y., Zhang, Y.L. (2003). A geometric-process maintenance model for a deteriorating system under a random environment. IEEE Trans. Reliab. R-52:83–89.
   Web of Science ®Google Scholar
• Lam, Y., Zhang, Y.L. (2004). A shock model for the maintenance problem of a repairable system. Comput. Oper. Res. 31:1807–1820.
   Web of Science ®Google Scholar
• Lam, Y., Zhu, L.X., Chan, J.S.K., Liu, Q. (2004). Analysis of data from a series of events by a geometric process model. Acta Math. Appl. Sin. 20:263–282.
   Google Scholar
• Leung, F.K.N., Lee, Y.M. (1998). Using geometric processes to study maintenance problems for engines. Int. J. Ind. Eng. 5:316–323.
   Web of Science ®Google Scholar
• Leung, F.K.N. (2001). Optimal replacement policies determined using arithmetico-geometric processes. Eng. Opt. 33:473–484.
   Web of Science ®Google Scholar
• Leung, F.K.N., Zhang, Y.L., Lai, K.K. (2011). Analysis for a two-dissimilar-component cold standby repairable system with repair priority. Reliab. Eng. Syst. Saf. 96:1542–1551.
   Web of Science ®Google Scholar
• Ross, S.M. (1996). Stochastic Processes (2nd ed.) New York: Wiley.
   Google Scholar
• Stadje, W., Zuckerman, D. (1990). Optimal strategies for some repair replacement models. Adv. Appl. Prob. 22:641–656.
   Web of Science ®Google Scholar
• Stanley, A.D.J. (1993). On geometric processes and repair replacement problems. Microelectron. Reliab. 33:489–491.
   Web of Science ®Google Scholar
• Wang, G.J., Zhang, Y.L. (2007). An optimal replacement policy for repairable cold standby system with priority in use. Inter. J. Sys. Sci. 38(12):1021–1027.
   Web of Science ®Google Scholar
• Wang, G.J., Zhang, Y.L. (2014). Geometric process model for a system with inspections and preventive repair. Comput. Ind. Eng. 75:13–19.
   Web of Science ®Google Scholar
• Wang, G.J., Zhang, Y.L. (2016). Optimal replacement policy for a two-dissimilar-component cold standby system with different repair actions. Int. J. Sys. Sci. 47(5):1021–1031.
   Web of Science ®Google Scholar
• Zhang, Y.L. (1994). A bivariate optimal replacement policy for a repairable system. J. Appl. Prob. 31:1123–1127.
   Web of Science ®Google Scholar
• Zhang, Y.L. (1999). An optimal geometric process model for a cold standby repairable system. Reliab. Eng. Syst. Saf. 63:107–110.
   Web of Science ®Google Scholar
• Zhang, Y.L. (2004). An optimal replacement policy for a three-state repairable system with a monotone process model. IEEE Trans. Reliab. R-53:452–457.
   Web of Science ®Google Scholar
• Zhang, Y.L. (2008). A geometrical process repair model for a repairable system with delayed repair. Comput. Math. Appl. 55:1629–1643.
   Web of Science ®Google Scholar
• Zhang, Y.L., Wang, G.J. (2006). A bivariate optimal repair-replacement model using geometric process for cold standby repairable system. Eng. Optim. 38:609–619.
   Web of Science ®Google Scholar
• Zhang, Y.L., Wang, G.J. (2007). A deteriorating cold standby repairable system with priority in use. Eur. J. Oper. Res. 183:278–295.
   Web of Science ®Google Scholar
• Zhang, Y.L., Wang, G.J. (2017). An optimal age-replacement policy for a simple repairable system with delayed repair. Commun. Stat. Theory Methods. 46(6):2837–2850.
   Web of Science ®Google Scholar
• Zhang, Y.L., Wang, G.J., Ji, Z.C. (2006). Replacement problems for a cold standby repairable system. Int. J. Sys. Sci. 37(1):17–25.
   Web of Science ®Google Scholar
• Zhang, Y.L., Yam, R.C.M., Zuo, M.J. (2002). Optimal replacement policy for a multistate repairable system. J. Oper. Res. Soc. 53:336–341.
   Web of Science ®Google Scholar
• Zhang, Y.L., Yam, R.C.M., Zuo, M.J. (2007). A bivariate optimal replacement policy for a multistate repairable system. Reliab. Eng. Syst. Saf. 92:535–542.
   Web of Science ®Google Scholar