×
Shang, Lijun; Liu, Baoliang; Cai, Zhiqiang; Wu, Cang

Random maintenance policies for sustaining the reliability of the product through 2D-warranty. (English) Zbl 1505.90049

Appl. Math. Modelling 111, 363-383 (2022).

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research

Keywords:

random maintenance; working cycle; warranty first and last; reliability; cost rate
Cite Review PDF
Full Text: DOI

References:

[1] Ye, Z. S.; Murthy, D. N.P., Warranty menu design for a two-dimensional warranty, Reliab. Eng. Syst. Saf., 155, 21-29 (2016)
[2] Darghouth, M. N.; Ait-kadia, D.; Chelbic, A., Joint optimization of design, warranty and price for products sold with maintenance service contracts, Reliab. Eng. Syst. Saf., 165, 197-208 (2017)
[3] Luo, M.; Wu, S., A comprehensive analysis of warranty claims and optimal policies, Eur. J. Oper. Res., 276, 144-159 (2019) · Zbl 1430.90215
[4] Luo, M.; Wu, S., A value-at-risk approach to optimisation of warranty policy, Eur. J. Oper. Res., 267, 513-522 (2018) · Zbl 1403.90421
[5] Huang, Y. S.; Huang, C. D.; Ho, J. W., A customized two-dimensional extended warranty with preventive maintenance, Eur. J. Oper. Res., 257, 971-978 (2017) · Zbl 1394.90226
[6] Liu, B.; Wu, J.; Xie, M., Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty, Eur. J. Oper. Res., 243, 874-882 (2015) · Zbl 1346.90278
[7] He, Z.; Wang, D.; He, S.; Zhang, Y.; Dai, A., Two-dimensional extended warranty strategy including maintenance level and purchase time: a win-win perspective, Comput. Ind. Eng., 141, Article 106294 pp. (2020)
[8] Xie, W.; Shen, L.; Zhong, Y., Two-dimensional aggregate warranty demand forecasting under sales uncertainty, IISE Trans., 49, 5, 553-565 (2017)
[9] Su, C.; Wang, X., A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty, Reliab. Eng. Syst. Saf., 155, 169-178 (2016)
[10] Hooti, F.; Ahmadi, J.; Longobardi, M., Optimal extended warranty length with limited number of repairs in the warranty period, Reliab. Eng. Syst. Saf., 203, Article 107111 pp. (2020)
[11] Zhao, X.; Xie, M., Using accelerated life tests data to predict warranty cost under imperfect repair, Comput. Ind. Eng., 107, 223-234 (2017)
[12] Ye, Z. S.; Xie, M.; Tang, L. C., Reliability evaluation of hard disk drive failures based on counting processes, Reliab. Eng. Syst. Saf., 109, 110-118 (2013)
[13] Li, X. Y.; Chen, W. B.; Li, F. R.; Kang, R., Reliability evaluation with limited and censored time-to-failure data based on uncertainty distributions, Appl. Math. Model., 94, 403-420 (2021) · Zbl 1481.62091
[14] Zhang, S.; Zhang, Y., Nonlinear mixed reliability model with non-constant shape parameter of aviation cables, Appl. Math. Model., 96, 445-455 (2021) · Zbl 1481.74421
[15] Wu, B.; Cui, L., Reliability evaluation of Markov renewal shock models with multiple failure mechanisms, Reliab. Eng. Syst. Saf., 202, Article 107051 pp. (2020)
[16] Huang, T.; Zhao, Y.; Coit, D. W.; Tang, L., Reliability assessment and lifetime prediction of degradation processes considering recoverable shock damages, IISE Trans., 53, 5, 614-628 (2021)
[17] Gao, H.; Cui, L.; Dong, Q., Reliability modeling for a two-phase degradation system with a change point based on a Wiener process, Reliab. Eng. Syst. Saf., 193, Article 106601 pp. (2020)
[18] Liu, B.; Zhang, Z.; Wen, Y., Reliability analysis for devices subject to competing failure processes based on chance theory, Appl. Math. Model., 75, 398-413 (2019) · Zbl 1481.60188
[19] Cha, J. H.; Finkelstein, M.; Levitin, G., Optimal warranty policy with inspection for heterogeneous, stochastically degrading items, Eur. J. Oper. Res., 289, 1142-1145 (2021) · Zbl 1487.90231
[20] Zhang, N.; Fouladirad, M.; Barros, A., Evaluation of the warranty cost of a product with type III stochastic dependence between components, Appl. Math. Model., 59, 39-53 (2018) · Zbl 1480.90118
[21] Shang, L.; Si, S.; Sun, S.; Jin, T., Optimal warranty design and post-warranty maintenance for products subject to stochastic degradation, IISE Trans., 50, 10, 913-927 (2018)
[22] Li, T.; He X. Zhao, S., Optimal warranty policy design for deteriorating products with random failure threshold, Reliab. Eng. Syst. Saf., 218, Article 108142 pp. (2022)
[23] Wang, X.; Liu, B.; Zhao, X., A performance-based warranty for products subject to competing hard and soft failures, Int. J. Prod. Econ., 233, Article 107974 pp. (2021)
[24] Zhao, X.; Nakagawa, T., Optimization problems of replacement first or last in reliability theory, Eur. J. Oper. Res., 223, 141-149 (2012) · Zbl 1253.90100
[25] Nakagawa, T., Random Maintenance Policies (2014), Springer: Springer London
[26] Sheu, S. H.; Liu, T. H.; Zhang, Z. G.; Zhao, X.; Chien, Y. H., A generalized age-dependent minimal repair with random working times, Comput. Ind. Eng., 156, Article 107248 pp. (2021)
[27] Sheu, S. H.; Liu, T. H.; Zhang, Z. G., Extended optimal preventive replacement policies with random working cycle, Reliab. Eng. Syst. Saf., 188, 398-415 (2019)
[28] Chang, C. C., Optimum preventive maintenance policies for systems subject to random working times, replacement, and minimal repair, Comput. Ind. Eng., 67, 185-194 (2014)
[29] Sahin, I.; Polatoglu, H., Maintenance strategies following the expiration of warranty, IEEE Trans. Reliab., 45, 220-228 (1996)
[30] Park, M.; Pham, H., Cost models for age replacement policies and block replacement policies under warranty, Appl. Math. Model., 40, 5689-5702 (2016) · Zbl 1465.90025
[31] Park, M.; Jung, K. M.; Park, D. H., A generalized age replacement policy for systems under renewing repair-replacement warranty, IEEE Trans. Reliab., 65, 604-612 (2016)
[32] Liu, P.; Wang, G.; Su, P., Optimal maintenance strategies for warranty products with limited repair time and limited repair number, Reliab. Eng. Syst. Saf., 210, Article 107554 pp. (2021)
[33] Shang, L.; Si, S.; Cai, Z., Optimal maintenance-replacement policy of products with competing failures after expiry of the warranty, Comput. Ind. Eng., 98, 68-77 (2016)
[34] Chen, C. K.; Lo, C. C.; Weng, T. C., Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period, Eur. J. Oper. Res., 259, 401-412 (2017) · Zbl 1394.90247
[35] Yeh, R. H.; Ho, W. T.; Tseng, S. T., Optimal production run length for products sold with warranty, Eur. J. Oper. Res., 120, 575-582 (2000) · Zbl 0985.90032
[36] Nakagawa, T., Stochastic Process with Application to Reliability Theory (2011), Springer: Springer London · Zbl 1244.60002
[37] Barlow, R. E.; Proschan, F., Mathematical Theory of Reliability (1965), John Wiley & Sons: John Wiley & Sons New York · Zbl 0132.39302
[38] Jardine, A.; Tsang, A., Maintenance, Replacement, and Reliability: Theory and Applications (2013), CRC Press: CRC Press Boca Raton · Zbl 1271.90001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.