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Shock and Damage Models in Reliability Theory

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  1. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "Justifying the Gompertz curve of mortality via the generalized Polya process of shocks," Theoretical Population Biology, Elsevier, vol. 109(C), pages 54-62.
  2. Hazra, Nil Kamal & Finkelstein, Maxim & Cha, Ji Hwan, 2022. "On a hazard (failure) rate process with delays after shocks," Statistics & Probability Letters, Elsevier, vol. 181(C).
  3. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "State-based mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  4. Xufeng Zhao & Toshio Nakagawa, 2016. "Over-time and over-level replacement policies with random working cycles," Annals of Operations Research, Springer, vol. 244(1), pages 103-116, September.
  5. Levitin, Gregory & Finkelstein, Maxim, 2019. "Optimal loading of elements in series systems exposed to external shocks," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
  6. Gregory Levitin & Maxim Finkelstein, 2018. "Optimal mission abort policy with multiple shock number thresholds," Journal of Risk and Reliability, , vol. 232(6), pages 607-615, December.
  7. Behrooz Shahbazi & Seyed Habib A. Rahmati, 2021. "Developing a Flexible Manufacturing Control System Considering Mixed Uncertain Predictive Maintenance Model: a Simulation-Based Optimization Approach," SN Operations Research Forum, Springer, vol. 2(4), pages 1-43, December.
  8. Sandra Sydnor & Linda Niehm & Yoon Lee & Maria Marshall & Holly Schrank, 2017. "Analysis of post-disaster damage and disruptive impacts on the operating status of small businesses after Hurricane Katrina," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 85(3), pages 1637-1663, February.
  9. Chen, Yunxia & Zhang, Wenbo & Xu, Dan, 2019. "Reliability assessment with varying safety threshold for shock resistant systems," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 49-60.
  10. Maria I. Marshall & Holly L. Schrank, 2020. "Sink or Swim? Impacts of Management Strategies on Small Business Survival and Recovery," Sustainability, MDPI, vol. 12(15), pages 1-21, August.
  11. Ji Hwan Cha & Maxim Finkelstein, 2019. "Stochastic modeling of quality of systems operating in a heterogeneous environment," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(6), pages 1344-1365, November.
  12. Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zhong, 2019. "Scheduling of imperfect inspections for reliability critical systems with shock-driven defects and delayed failures," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 89-98.
  13. Anahita Khojandi & Lisa M. Maillart & Oleg A. Prokopyev & Mark S. Roberts & Timothy Brown & William W. Barrington, 2014. "Optimal Implantable Cardioverter Defibrillator (ICD) Generator Replacement," INFORMS Journal on Computing, INFORMS, vol. 26(3), pages 599-615, August.
  14. R. Ahmadi, 2016. "An optimal replacement policy for complex multi-component systems," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5303-5316, September.
  15. Gregory Levitin & Maxim Finkelstein, 2018. "Optimal Mission Abort Policy for Systems Operating in a Random Environment," Risk Analysis, John Wiley & Sons, vol. 38(4), pages 795-803, April.
  16. Gregory Levitin & Maxim Finkelstein, 2017. "A new stress–strength model for systems subject to stochastic shocks," Journal of Risk and Reliability, , vol. 231(2), pages 172-179, April.
  17. Zhao, Xufeng & Liu, Hu-Chen & Nakagawa, Toshio, 2015. "Where does “whichever occurs first†hold for preventive maintenance modelings?," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 203-211.
  18. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Mission abort policy optimization for series systems with overlapping primary and rescue subsystems operating in a random environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  19. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal aborting strategy for three-phase missions performed by multiple units," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
  20. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Mission abort and rescue for multistate systems operating under the Poisson process of shocks," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
  21. Volovoi, Vitali, 2013. "Universal failure model for multi-unit systems with shared functionality," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 141-149.
  22. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimization of cyclic preventive replacement in homogeneous warm-standby system with reusable elements exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
  23. Zhao, Xufeng & Qian, Cunhua & Nakagawa, Toshio, 2013. "Optimal policies for cumulative damage models with maintenance last and first," Reliability Engineering and System Safety, Elsevier, vol. 110(C), pages 50-59.
  24. Eryilmaz, Serkan, 2017. "δ-shock model based on Polya process and its optimal replacement policy," European Journal of Operational Research, Elsevier, vol. 263(2), pages 690-697.
  25. Keedy, Elias & Feng, Qianmei, 2012. "A physics-of-failure based reliability and maintenance modeling framework for stent deployment and operation," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 94-101.
  26. Pi, Shiqiang & Liu, Ying & Chen, Haiyan & Deng, Yan & Xiao, Longyuan, 2021. "Probability of loss of assured safety in systems with weak and strong links subject to dependent failures and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
  27. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Optimal preventive replacement policy for homogeneous cold standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  28. Ji Hwan Cha & Maxim Finkelstein, 2019. "New failure and minimal repair processes for repairable systems in a random environment," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(3), pages 522-536, May.
  29. Hyunju Lee & Ji Hwan Cha, 2021. "On a multivariate IFR and positively dependent lifetime model induced by multiple shot-noise processes," Statistical Papers, Springer, vol. 62(2), pages 561-590, April.
  30. Ali, Sajid & Pievatolo, Antonio, 2018. "Time and magnitude monitoring based on the renewal reward process," Reliability Engineering and System Safety, Elsevier, vol. 179(C), pages 97-107.
  31. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal aborting rule in multi-attempt missions performed by multicomponent systems," European Journal of Operational Research, Elsevier, vol. 283(1), pages 244-252.
  32. Maxim Finkelstein & Gregory Levitin & Oleg A Stepanov, 2019. "On operation termination for degrading systems with two types of failures," Journal of Risk and Reliability, , vol. 233(3), pages 419-426, June.
  33. Hai-Kun Wang & Yan-Feng Li & Yu Liu & Yuan-Jian Yang & Hong-Zhong Huang, 2015. "Remaining useful life estimation under degradation and shock damage," Journal of Risk and Reliability, , vol. 229(3), pages 200-208, June.
  34. Lijun Shang & Guojun Shang & Qingan Qiu, 2022. "A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
  35. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
  36. Cha, Ji Hwan & Finkelstein, Maxim, 2018. "On information-based residual lifetime in survival models with delayed failures," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 209-216.
  37. Ji Hwan Cha & Maxim Finkelstein, 2018. "On a New Shot Noise Process and the Induced Survival Model," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 897-917, September.
  38. Ji Hwan Cha & Maxim Finkelstein, 2019. "On some characteristics of quality for systems operating in a random environment," Journal of Risk and Reliability, , vol. 233(2), pages 257-267, April.
  39. Smolyak, S., 2020. "The Poisson process of machinery degradation: Application to valuation," Journal of the New Economic Association, New Economic Association, vol. 48(4), pages 63-84.
  40. 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.
  41. Wu, Bei & Zhang, Yamei & Zhao, Songzheng, 2023. "Modeling coupled effects of dynamic environments and zoned shocks on systems under dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
  42. Ji Hwan Cha & Maxim Finkelstein, 2019. "Optimal preventive maintenance for systems having a continuous output and operating in a random environment," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 327-350, July.
  43. Sophie Mercier & Hai Ha Pham, 2016. "A Random Shock Model with Mixed Effect, Including Competing Soft and Sudden Failures, and Dependence," Methodology and Computing in Applied Probability, Springer, vol. 18(2), pages 377-400, June.
  44. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Cai, Kui, 2018. "A multi-state shock model with mutative failure patterns," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 1-11.
  45. 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).
  46. van der Weide, J.A.M. & Pandey, M.D., 2011. "Stochastic analysis of shock process and modeling of condition-based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 619-626.
  47. Yang, David Y. & Frangopol, Dan M., 2019. "Life-cycle management of deteriorating civil infrastructure considering resilience to lifetime hazards: A general approach based on renewal-reward processes," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 197-212.
  48. Zhang, Jian & Huang, Xiaoyan & Fang, Youtong & Zhou, Jing & Zhang, He & Li, Jing, 2016. "Optimal inspection-based preventive maintenance policy for three-state mechanical components under competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 95-103.
  49. Shafiee, Mahmood & Finkelstein, Maxim, 2015. "An optimal age-based group maintenance policy for multi-unit degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 230-238.
  50. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal abort rules for additive multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
  51. Gregory Levitin & Maxim Finkelstein & Hong‐Zhong Huang, 2019. "Optimal Abort Rules for Multiattempt Missions," Risk Analysis, John Wiley & Sons, vol. 39(12), pages 2732-2743, December.
  52. Hongshuang Feng & Xufeng Zhao, 2022. "Optimizations of discrete garbage collections in computer reliability systems," Journal of Risk and Reliability, , vol. 236(3), pages 451-457, June.
  53. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal multi-attempt missions with cumulative effect," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
  54. Xufeng Zhao & Syouji Nakamura & Toshio Nakagawa, 2012. "Optimal Tenuring And Major Collection Times For A Generational Garbage Collector," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-17.
  55. Smolyak, Sergey, 2023. "Оценка Подержанных Машин На Основе Новой Модели Их Деградации [Valuation of used machinery based on the new model of its degradation]," MPRA Paper 119423, University Library of Munich, Germany, revised 15 Jun 2023.
  56. Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zong, 2020. "Optimal mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  57. Levitin, Gregory & Finkelstein, Maxim & Li, Yan-Feng, 2020. "Balancing mission success probability and risk of system loss by allocating redundancy in systems operating with a rescue option," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
  58. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimal shock-driven switching strategies with elements reuse in heterogeneous warm-standby systems," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
  59. Che, Haiyang & Zeng, Shengkui & Guo, Jianbin, 2019. "Reliability assessment of man-machine systems subject to mutually dependent machine degradation and human errors," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
  60. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal mission abort policies for repairable multistate systems performing multi-attempt mission," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
  61. Rassoul Noorossana & Kamyar Sabri-Laghaie, 2015. "Reliability and maintenance models for a dependent competing-risk system with multiple time-scales," Journal of Risk and Reliability, , vol. 229(2), pages 131-142, April.
  62. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal abort rules and subtask distribution in missions performed by multiple independent heterogeneous units," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
  63. Xiaojie Ke & Zhengguo Xu & Wenhai Wang & Youxian Sun, 2017. "Remaining useful life prediction for non-stationary degradation processes with shocks," Journal of Risk and Reliability, , vol. 231(5), pages 469-480, October.
  64. Mercier, Sophie & Pham, Hai Ha, 2017. "A bivariate failure time model with random shocks and mixed effects," Journal of Multivariate Analysis, Elsevier, vol. 153(C), pages 33-51.
  65. Chien, Yu-Hung & Sheu, Shey-Huei & Zhang, Zhe George, 2012. "Optimal maintenance policy for a system subject to damage in a discrete time process," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 1-10.
  66. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "New shock models based on the generalized Polya process," European Journal of Operational Research, Elsevier, vol. 251(1), pages 135-141.
  67. 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).
  68. Prajamitra Bhuyan & Murari Mitra & Anup Dewanji, 2018. "Identifiability issues in dynamic stress–strength modeling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(1), pages 63-81, February.
  69. Mahmood Shafiee & Maxim Finkelstein, 2015. "A proactive group maintenance policy for continuously monitored deteriorating systems: Application to offshore wind turbines," Journal of Risk and Reliability, , vol. 229(5), pages 373-384, October.
  70. Cha, Ji Hwan, 2011. "Comparison of combined stochastic risk processes and its applications," European Journal of Operational Research, Elsevier, vol. 215(2), pages 404-410, December.
  71. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2017. "Maintenance analysis of a two-component load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 67-74.
  72. Zhao, Xian & Qi, Xin & Wang, Xiaoyue, 2023. "Reliability assessment for coherent systems operating under a generalized mixed shock model with multiple change points of the environment," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
  73. Yang, Li & Ma, Xiaobing & Peng, Rui & Zhai, Qingqing & Zhao, Yu, 2017. "A preventive maintenance policy based on dependent two-stage deterioration and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 201-211.
  74. Phalguni Nanda & Prajamitra Bhuyan & Anup Dewanji, 2022. "Optimal replacement policy under cumulative damage model and strength degradation with applications," Annals of Operations Research, Springer, vol. 315(2), pages 1345-1371, August.
  75. Zhao, Xufeng & Nakagawa, Toshio, 2012. "Optimization problems of replacement first or last in reliability theory," European Journal of Operational Research, Elsevier, vol. 223(1), pages 141-149.
  76. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal inspections and mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
  77. Shamstabar, Yousof & Shahriari, Hamid & Samimi, Yaser, 2021. "Reliability monitoring of systems with cumulative shock-based deterioration process," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  78. Kangbok Lee & Lei Lei & Michael Pinedo, 2012. "Production scheduling with history‐dependent setup times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(1), pages 58-68, February.
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