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Rejoinder to ‘Stochastic modelling and analysis of degradation for highly reliable products’

Citations

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Cited by:

  1. Kong, Xuefeng & Yang, Jun & Hao, Songhua, 2021. "Reliability modeling-based tolerance design and process parameter analysis considering performance degradation," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
  2. Song, Kai & Cui, Lirong, 2022. "A common random effect induced bivariate gamma degradation process with application to remaining useful life prediction," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
  3. Ling, M.H. & Ng, H.K.T. & Tsui, K.L., 2019. "Bayesian and likelihood inferences on remaining useful life in two-phase degradation models under gamma process," Reliability Engineering and System Safety, Elsevier, vol. 184(C), pages 77-85.
  4. Zhang, Shuyi & Zhai, Qingqing & Li, Yaqiu, 2023. "Degradation modeling and RUL prediction with Wiener process considering measurable and unobservable external impacts," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
  5. Gao, Hongda & Cui, Lirong & Dong, Qinglai, 2020. "Reliability modeling for a two-phase degradation system with a change point based on a Wiener process," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  6. Wang, Xiaofei & Wang, Bing Xing & Jiang, Pei Hua & Hong, Yili, 2020. "Accurate reliability inference based on Wiener process with random effects for degradation data," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  7. Truong-Ba, Huy & Cholette, Michael E. & Rebello, Sinda & Kent, Geoff, 2024. "Joint planning of inspection, replacement, and component decommissioning for a series system with non-identically degrading components," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  8. Zhou, Jian & Li, Zhanhang & Nassif, Hani & Coit, David W., 2025. "A two-stage Weibull-gamma degradation model with distinct failure mechanism initiation and propagation stages," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
  9. Song, Kai & Shi, Jian & Yi, Xiaojian, 2020. "A time-discrete and zero-adjusted gamma process model with application to degradation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
  10. Kang, Fengming & Cui, Lirong & Ye, Zhisheng & Zhou, Yu, 2024. "Reliability analysis for systems with self-healing mechanism in degradation-shock dependence processes with changing degradation rate," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  11. Hu, Jiawen & Shen, Jingyuan & Shen, Lijuan, 2020. "Opportunistic maintenance for two-component series systems subject to dependent degradation and shock," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
  12. Hu, Jiawen & Chen, Piao, 2020. "Predictive maintenance of systems subject to hard failure based on proportional hazards model," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
  13. Cao, Shihao & Wang, Zhihua & Wu, Qiong & Ouyang, Xiangmin & Si, Xiaosheng & Liu, Chengrui, 2025. "Failure time analysis for compound degradation procedures involving linear path and negative jumps," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
  14. Vega, Manuel A. & Hu, Zhen & Todd, Michael D., 2020. "Optimal maintenance decisions for deteriorating quoin blocks in miter gates subject to uncertainty in the condition rating protocol," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  15. Zhang, Ao & Wang, Zhihua & Bao, Rui & Liu, Chengrui & Wu, Qiong & Cao, Shihao, 2023. "A novel failure time estimation method for degradation analysis based on general nonlinear Wiener processes," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
  16. Aven, Terje & Rios Insua, David & Soyer, Refik & Zhu, Xiaoyan & Zio, Enrico, 2025. "Fifty years of reliability in operations research," European Journal of Operational Research, Elsevier, vol. 324(2), pages 361-381.
  17. Santos, Cristiano C. & Loschi, Rosangela H., 2020. "Semi-parametric Bayesian models for heterogeneous degradation data: An application to laser data," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
  18. Ye, Kewei & Wang, Han & Ma, Xiaobing, 2023. "A generalized dynamic stress-strength interference model under δ-failure criterion for self-healing protective structure," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
  19. Weichao Yu & Xianbin Zheng & Weihe Huang & Qingwen Cai & Jie Guo & Jili Xu & Yang Liu & Jing Gong & Hong Yang, 2022. "A Data-Driven Methodology for the Reliability Analysis of the Natural Gas Compressor Unit Considering Multiple Failure Modes," Energies, MDPI, vol. 15(10), pages 1-18, May.
  20. Hanzhong Liu & Jiacai Huang & Yuanhong Guan & Li Sun, 2019. "Accelerated Degradation Model of Nonlinear Wiener Process Based on Fixed Time Index," Mathematics, MDPI, vol. 7(5), pages 1-16, May.
  21. Sun, Xuxue & Cai, Wenjun & Li, Mingyang, 2021. "A hierarchical modeling approach for degradation data with mixed-type covariates and latent heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  22. Hui Chen & Jie Chen & Yangyang Lai & Xiaoqi Yu & Lijun Shang & Rui Peng & Baoliang Liu, 2024. "Discrete Random Renewable Replacements after the Expiration of Collaborative Preventive Maintenance Warranty," Mathematics, MDPI, vol. 12(18), pages 1-21, September.
  23. Fang, Guanqi & Pan, Rong & Wang, Yukun, 2022. "Inverse Gaussian processes with correlated random effects for multivariate degradation modeling," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1177-1193.
  24. Weijie Liu & Yan Shen & Lijuan Shen, 2022. "Degradation Modeling for Lithium-Ion Batteries with an Exponential Jump-Diffusion Model," Mathematics, MDPI, vol. 10(16), pages 1-18, August.
  25. Lijun Shang & Xiguang Yu & Liying Wang & Yongjun Du, 2022. "Design of Random Warranty and Maintenance Policy: From a Perspective of the Life Cycle," Mathematics, MDPI, vol. 10(20), pages 1-22, October.
  26. Sun, Fuqiang & Fu, Fangyou & Liao, Haitao & Xu, Dan, 2020. "Analysis of multivariate dependent accelerated degradation data using a random-effect general Wiener process and D-vine Copula," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  27. Jun Wang & Yuyang Wang & Yuqiang Fu, 2023. "Joint Optimization of Condition-Based Maintenance and Performance Control for Linear Multi-State Consecutively Connected Systems," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
  28. Delia Montoro-Cazorla & Rafael Pérez-Ocón, 2022. "Analysis of k-Out-of-N-Systems with Different Units under Simultaneous Failures: A Matrix-Analytic Approach," Mathematics, MDPI, vol. 10(11), pages 1-13, June.
  29. Shang, Lijun & Liu, Baoliang & Peng, Rui, 2025. "Designing random collaborative warranty and customizing maintenance strategies for systems subject to mission cycles," Reliability Engineering and System Safety, Elsevier, vol. 257(PA).
  30. Weian Yan & Shijie Zhang & Weidong Liu & Yingxia Yu, 2021. "Objective Bayesian Estimation for Tweedie Exponential Dispersion Process," Mathematics, MDPI, vol. 9(21), pages 1-20, October.
  31. Zhengxin Zhang & Xiaosheng Si & Changhua Hu & Xiangyu Kong, 2015. "Degradation modeling–based remaining useful life estimation: A review on approaches for systems with heterogeneity," Journal of Risk and Reliability, , vol. 229(4), pages 343-355, August.
  32. Wang, Xiaolin & Liu, Bin & Zhao, Xiujie, 2021. "A performance-based warranty for products subject to competing hard and soft failures," International Journal of Production Economics, Elsevier, vol. 233(C).
  33. Altinpulluk, Nur Banu & Altinpulluk, Deniz & Yildirim, Murat & Zhao, Shijia & Qiu, Feng & Greco, Aaron, 2025. "A survey on degradation modeling, prognosis, and prognostics-driven maintenance in wind energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 211(C).
  34. Li, Ting & He, Shuguang & Zhao, Xiujie, 2022. "Optimal warranty policy design for deteriorating products with random failure threshold," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
  35. Dai, Anshu & Wang, Xin & Li, Yu & Li, Ting & He, Shuguang, 2023. "Design of a performance-based warranty policy with replacement–repair strategy and cumulative cost threshold," International Journal of Production Economics, Elsevier, vol. 255(C).
  36. Sun, Fuqiang & Li, Hao & Cheng, Yuanyuan & Liao, Haitao, 2021. "Reliability analysis for a system experiencing dependent degradation processes and random shocks based on a nonlinear Wiener process model," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
  37. Zhou, Min & Zhao, Xiujie & He, Zhen & Kim, Kwang-Jae, 2025. "An integrated maintenance-upgrade policy for stochastically degrading products," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
  38. Zhang, Wenyu & Zhang, Xiaohong & He, Shuguang & Zhao, Xing & He, Zhen, 2024. "Optimal condition-based maintenance policy for multi-component repairable systems with economic dependence in a finite-horizon," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  39. Pedersen, Tom Ivar & Vatn, Jørn, 2022. "Optimizing a condition-based maintenance policy by taking the preferences of a risk-averse decision maker into account," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
  40. Yong Soo Kim & Si-Il Sung, 2017. "Practical lifetime estimation strategy based on partially step-stress-accelerated degradation tests," Journal of Risk and Reliability, , vol. 231(5), pages 605-614, October.
  41. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li & Du, Yongjun, 2023. "Designing warranty and maintenance policies for products subject to random working cycles," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
  42. Liu, Lujie & Yang, Jun & Yan, Bingxin, 2024. "A dynamic mission abort policy for transportation systems with stochastic dependence by deep reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  43. Vega, Manuel A. & Hu, Zhen & Fillmore, Travis B. & Smith, Matthew D. & Todd, Michael D., 2021. "A Novel Framework for Integration of Abstracted Inspection Data and Structural Health Monitoring for Damage Prognosis of Miter Gates," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
  44. Xu, Qinqin & Zhu, Yuanguo, 2022. "Reliability modeling of uncertain random fractional differential systems with competitive failures," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
  45. Mei-Ling Ting Lee & G. A. Whitmore, 2019. "A new class of survival distribution for degradation processes subject to shocks," Journal of Statistical Distributions and Applications, Springer, vol. 6(1), pages 1-24, December.
  46. Lijun Shang & Xiguang Yu & Yongjun Du & Anquan Zou & Qingan Qiu, 2022. "An Optimal Random Hybrid Maintenance Policy of Systems under a Warranty with Rebate and Charge," Mathematics, MDPI, vol. 10(18), pages 1-19, September.
  47. Chang, Miaoxin & Huang, Xianzhen & Coolen, Frank PA & Coolen-Maturi, Tahani, 2023. "New reliability model for complex systems based on stochastic processes and survival signature," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1349-1364.
  48. Liang, Qingzhu & Yang, Yinghao & Peng, Changhong, 2023. "A reliability model for systems subject to mutually dependent degradation processes and random shocks under dynamic environments," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
  49. Dong, Wenjie & Liu, Sifeng & Bae, Suk Joo & Cao, Yingsai, 2021. "Reliability modelling for multi-component systems subject to stochastic deterioration and generalized cumulative shock damages," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
  50. Ece Zeliha Demirci & Joachim Arts & Geert-Jan van Houtum, 2025. "A restless bandit approach for capacitated condition based maintenance scheduling," Flexible Services and Manufacturing Journal, Springer, vol. 37(1), pages 179-207, March.
  51. Zhao, Xiujie & Chen, Piao & Gaudoin, Olivier & Doyen, Laurent, 2021. "Accelerated degradation tests with inspection effects," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1099-1114.
  52. Giovanni Rinaldi & Philipp R. Thies & Lars Johanning, 2021. "Current Status and Future Trends in the Operation and Maintenance of Offshore Wind Turbines: A Review," Energies, MDPI, vol. 14(9), pages 1-28, April.
  53. Lin Zhao & Lijun Shang & Baoliang Liu, 2024. "Customized Random Maintenance Policies After the Expiration of a Renewal Repair–Replacement Warranty with Random Charge," Mathematics, MDPI, vol. 13(1), pages 1-24, December.
  54. Liao, Guobo & Yin, Hongpeng & Chen, Min & Lin, Zheng, 2021. "Remaining useful life prediction for multi-phase deteriorating process based on Wiener process," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
  55. Xudan Chen & Guoxun Ji & Xinli Sun & Zhen Li, 2019. "Inverse Gaussian–based model with measurement errors for degradation analysis," Journal of Risk and Reliability, , vol. 233(6), pages 1086-1098, December.
  56. Zhang, Jian-Xun & Si, Xiao-Sheng & Du, Dang-Bo & Hu, Chang-Hua & Hu, Chen, 2020. "A novel iterative approach of lifetime estimation for standby systems with deteriorating spare parts," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
  57. Zeng, Zhiguo & Barros, Anne & Coit, David, 2023. "Dependent failure behavior modeling for risk and reliability: A systematic and critical literature review," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
  58. Pang, Zhenan & Si, Xiaosheng & Hu, Changhua & Du, Dangbo & Pei, Hong, 2021. "A Bayesian Inference for Remaining Useful Life Estimation by Fusing Accelerated Degradation Data and Condition Monitoring Data," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
  59. Xu, Jun & Liang, Zhenglin & Li, Yan-Fu & Wang, Kaibo, 2021. "Generalized condition-based maintenance optimization for multi-component systems considering stochastic dependency and imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
  60. Hao, Songhua & Yang, Jun & Berenguer, Christophe, 2019. "Degradation analysis based on an extended inverse Gaussian process model with skew-normal random effects and measurement errors," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 261-270.
  61. Wu, Ji-Peng & Kang, Rui & Li, Xiao-Yang, 2020. "Uncertain accelerated degradation modeling and analysis considering epistemic uncertainties in time and unit dimension," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
  62. Chengye Ma & Yongjun Du & Lijun Shang & Li Yang & Kaiye Gao, 2023. "Random Maintenance Strategy Modeling of Warranted Products with Reliability Heterogeneity," Sustainability, MDPI, vol. 15(18), pages 1-19, September.
  63. Hongyu Wang & Xiaobing Ma & Yu Zhao, 2020. "Bayesian inference for a novel hierarchical accelerated degradation model considering the mechanism variation," Journal of Risk and Reliability, , vol. 234(5), pages 708-720, October.
  64. Wei Li & Xiaosheng Wang & Qian Zhang, 2023. "A Contract Period Optimization Model for Water Saving Management Contract Project Based on Equipment Replacement," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(14), pages 5725-5741, November.
  65. Jinsong Yu & Jie Yang & Diyin Tang & Jing Dai, 2018. "An Optimal Burn-In Policy for Cellular Phone Lithium-Ion Batteries Using a Feature Selection Strategy and Relevance Vector Machine," Energies, MDPI, vol. 11(11), pages 1-19, November.
  66. Duan, Fengjun & Wang, Guanjun, 2022. "Bayesian analysis for the transformed exponential dispersion process with random effects," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
  67. Fang, Guanqi & Pan, Rong & Hong, Yili, 2020. "Copula-based reliability analysis of degrading systems with dependent failures," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  68. Tao, Zhao & Chen, Wenbin & Li, Xiaoyang & Kang, Rui, 2025. "Belief reliability modeling of coarse tracking system for satellite optical communication," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
  69. Zhao, Xiujie & Chen, Piao & Lv, Shanshan & He, Zhen, 2023. "Reliability testing for product return prediction," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1349-1363.
  70. Zhao, Xiujie & Liu, Bin & Xu, Jianyu & Wang, Xiao-Lin, 2023. "Imperfect maintenance policies for warranted products under stochastic performance degradation," European Journal of Operational Research, Elsevier, vol. 308(1), pages 150-165.
  71. Luo, Yi & Zhao, Xiujie & Liu, Bin & He, Shuguang, 2024. "Condition-based maintenance policy for systems under dynamic environment," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
  72. Kim, Seong-Joon & Mun, Byeong Min & Bae, Suk Joo, 2019. "A cost-driven reliability demonstration plan based on accelerated degradation tests," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 226-239.
  73. Xu, Xiaodong & Tang, Shengjin & Yu, Chuanqiang & Xie, Jian & Han, Xuebing & Ouyang, Minggao, 2021. "Remaining Useful Life Prediction of Lithium-ion Batteries Based on Wiener Process Under Time-Varying Temperature Condition," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
  74. Xiaosheng, Si & Li, Huiqin & Zhang, Zhengxin & Li, Naipeng, 2024. "A Wiener-process-inspired semi-stochastic filtering approach for prognostics," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
  75. Chen, Wen-Bin & Li, Xiao-Yang & Wu, Ji-Peng & Kang, Rui, 2024. "Uncertain random accelerated degradation modelling and statistical analysis with aleatory and epistemic uncertainties from multiple dimensions," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
  76. Sheu, Shey-Huei & Liu, Tzu-Hsin & Sheu, Wei-Teng & Zhang, Zhe-George & Ke, Jau-Chuan, 2021. "Optimal replacement policy with replacement last under cumulative damage models," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
  77. Junyu Guo & Hong-Zhong Huang & Weiwen Peng & Jie Zhou, 2019. "Bayesian information fusion for degradation analysis of deteriorating products with individual heterogeneity," Journal of Risk and Reliability, , vol. 233(4), pages 615-622, August.
  78. Shixiang Li & Yubin Tian & Dianpeng Wang, 2025. "Nonlinear Stochastic Modeling with Heterogeneous Covariates for Degradation Analysis Applied to Wax Lubrication Layer," Mathematics, MDPI, vol. 13(5), pages 1-17, March.
  79. Wang, Jun & Zhu, Xiaoyan, 2021. "Joint optimization of condition-based maintenance and inventory control for a k-out-of-n:F system of multi-state degrading components," European Journal of Operational Research, Elsevier, vol. 290(2), pages 514-529.
  80. Liu, Bin & Zhao, Xiujie & Liu, Guoquan & Liu, Yiqi, 2020. "Life cycle cost analysis considering multiple dependent degradation processes and environmental influence," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
  81. Zhuang, Liangliang & Xu, Ancha & Wang, Yijun & Tang, Yincai, 2024. "Remaining useful life prediction for two-phase degradation model based on reparameterized inverse Gaussian process," European Journal of Operational Research, Elsevier, vol. 319(3), pages 877-890.
  82. Ghamlouch, Houda & Fouladirad, Mitra & Grall, Antoine, 2019. "The use of real option in condition-based maintenance scheduling for wind turbines with production and deterioration uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 614-623.
  83. Gao, Hongda & Cui, Lirong & Qiu, Qingan, 2019. "Reliability modeling for degradation-shock dependence systems with multiple species of shocks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 133-143.
  84. Yi, Hui & Zhang, Weiwei & Wang, Guoliang & Zhang, Xing & Zhai, Qingqing, 2025. "Statistical multivariate degradation modeling– A systematic review," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
  85. Zhou, Shirong & Tang, Yincai & Xu, Ancha, 2021. "A generalized Wiener process with dependent degradation rate and volatility and time-varying mean-to-variance ratio," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  86. Dong, Qinglai & Cui, Lirong, 2019. "A study on stochastic degradation process models under different types of failure Thresholds," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 202-212.
  87. Liu, Di & Wang, Shaoping & Zhang, Chao & Tomovic, Mileta, 2018. "Bayesian model averaging based reliability analysis method for monotonic degradation dataset based on inverse Gaussian process and Gamma process," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 25-38.
  88. Veloso, Guilherme A. & Loschi, Rosangela H., 2021. "Dynamic linear degradation model: Dealing with heterogeneity in degradation paths," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
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