References
- Alaswad, S. and Xiang, Y. (2017) A review on condition-based maintenance optimization models for stochastically deteriorating system. Reliability Engineering & System Safety, 157, 54–63.
- Asfaw, Z.G. and Lindqvist, B.H. (2015) Extending minimal repair models for repairable systems: A comparison of dynamic and heterogeneous extensions of a nonhomogeneous Poisson process. Reliability Engineering and System Safety, 140, 53–58.
- Aven, T. and Jensen, U. (1999) Stochastic Models in Reliability, Springer, New York, NY.
- Badía, F.G., Berrade, M.D., Cha, J.H. and Lee, H. (2018) Optimal replacement policy under a general failure and repair model: Minimal versus worse than old repair. Reliability Engineering & System Safety, 180, 362–372.
- Badía, F.G., Mercier, S. and Sangüesa, C. (2019) Extensions of the generalized Pólya process. Methodology and Computing in Applied Probability, 21, 1057–1085.
- Barlow, R.E. and Hunter, L.C. (1960) Optimum preventive maintenance policies. Operations Research, 8(1), 90–100.
- Barlow, R.E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, NY.
- Butani, N.L. (1991) Replacement policies based on minimal repair and cost limit criterion. Reliability Engineering & System Safety, 32, 349–355.
- Cha, J.H. (2014) Characterizations of the generalized Pólya process and its applications. Advances in Applied Probability, 46, 1148–1171.
- Cha, J.H. and Finkelstein, M. (2018) On preventive maintenance under different assumptions on the failure/repair processes. Quality and Reliability Engineering International, 34, 66–77.
- Cha, J.H. Finkelstein, M. and Levitin, G. (2017) On preventive maintenance of systems with lifetimes dependent on a random shock process. Reliability Engineering & System Safety, 168, 90–97.
- Chien, Y.H. (2019) Optimal periodic replacement policy for a GPP repairable product under the free-repair warranty. Quality Technology & Quantitative Management, 16(3), 347–354.
- Chien, Y.H. and Chen, J.A. (2007) Optimal age-replacement policy for repairable products under renewing free-replacement warranty. International Journal of System Sciences, 38, 759–769.
- Cho, D. and Parlar, M. (1991) A survey of maintenance models for multi-unit systems. European Journal of Operational Research, 51(1), 1–23.
- Dekker, R. (1996) Application of maintenance optimization models: A review and analysis. Reliability Engineering & System Safety, 51, 229–240.
- Dekker, R., Wildeman, R. and van der Duyn Schouten, F.A. (1997) A review of multi-component maintenance models with economic dependence. Mathematical Methods of Operations Research, 45, 411–435.
- El-Ferik, S. and Ben-Daya, M. (2008) Model for imperfect age-based preventive maintenance with age reduction. Journal of the Operational Research Society, 59, 1644–1651.
- Eryilmaz, S. (2018) The number of failed components in a k-out-of-n system consisting of multiple types of components. Reliability Engineering & System Safety, 175, 246–250.
- Finkelstein, M. and Gertsbakh, I. (2015) ‘Time-free’ preventive maintenance of systems with structures described by signatures. Applied Stochastic Models in Business and Industry, 31(6), 836–845.
- Finkelstein, M. and Gertsbakh, I. (2016) On preventive maintenance of systems subject to shocks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 230(2), 220–227.
- Gertsbakh, I. (2000) Reliability Theory with Applications to Preventive Maintenance, Springer, London, UK.
- Hashemi, M., Asadi, M. and Zarezadeh, S. (2020) Optimal maintenance policies for coherent systems with multi-type components. Reliability Engineering & System Safety, 195, 106674.
- Johnson, N.L., Kemp, A.W. and Kotz, S. (2005) Univariate Discrete Distributions, Third edition, Wiley, New York, NY.
- Ko, Y.M. and Byon, E. (2017) Condition-based joint maintenance optimization for a large-scale system with homogeneous units. IISE Transactions, 49(5), 493–504.
- Konno, H. (2010) On the exact solution of a generalized Pólya process. Advances in Mathematical Physics, 1–12. article ID 504267. doi:10.1155/2010/504267
- Lee, H. and Cha, J.H. (2016) New stochastic models for preventive maintenance and maintenance optimization. European Journal of Operational Research, 255, 80–90.
- Levitin, G., Finkelstein, M. and Dai, Y. (2018) Optimizing availability of heterogeneous standby systems exposed to shocks. Reliability Engineering & System Safety, 170, 137–145.
- Liu, X., Li, J., Al-Khalifa, K.N., Hamouda, A.S., Coit, D.W. and Elsayed, E.A. (2013) Condition-based maintenance for continuously monitored degrading systems with multiple failure modes. IIE Transactions, 45(4), 422–435.
- Mahmoudi, M. and Asadi, M. (2011) The dynamic signature of coherent systems. IEEE Transactions on Reliability, 60(4), 817–822.
- Nakagawa, T. (1984) Optimal policy of continuous and discrete replacement with minimal repair at failure. Naval Research Logistics Quarterly, 31, 543–550.
- Nakagawa, T. (2005) Maintenance Theory of Reliability. Springer-Verlag, London.
- Nicolai, R. and Dekker, R. (2008) Optimal maintenance of multi-component systems: A review, in Complex System Maintenance Handbook, Springer, London, UK, pp. 263–286.
- Olde Keizer, M.C.A., Flapper, S.D.P. and Teunter, R.H. (2017) Condition-based maintenance policies for systems with multiple dependent components: A review. European Journal of Operational Research, 261, 405–420.
- Pham, H. and Wang, H. (2000) Optimal (τ,T) opportunistic maintenance of a k-out-of-n:G system with imperfect PM and partial failure. Naval Research Logistics, 47, 223–239.
- Rider, P.R. (1962) The negative binomial distribution and the incomplete beta function. The American Mathematical Monthly, 69, 302–304.
- Safaei, F., Ahmadi, J. and Gildeh, B.S. (2018) An optimal planned replacement time based on availability and cost functions for a system subject to three types of failures. Computers & Industrial Engineering, 124, 77–87.
- Samaniego, F.J. (1985) On closure of the IFR class under formation of coherent systems. IEEE Transactions on Reliability, 34(1), 69–72.
- Samaniego, F.J. (2007) System Signatures and Their Applications in Engineering Reliability. Springer, New York.
- Sherif, Y.S. and Smith, M.L. (1981) Optimal maintenance models for systems subject to failure: A review. Naval Research Logistics, 28, 47–74.
- Sheu, S. (1991) Generalized block replacement policy with minimal repair and general random repair costs for a multi-unit system. Journal of the Operational Research Society, 42(4), 331–341.
- Tahara, A. and Nishida, T. (1975) Optimal replacement policy for minimal repair model. Journal of the Operations Research Society of Japan, 18, 113–124.
- Wang, H. (2002) A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 139(3), 469–489.