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The Universal Generating Function in Reliability Analysis and Optimization

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Cited by:

  1. Levitin, Gregory & Dai, Yuan-Shun, 2008. "Optimal service task partition and distribution in grid system with star topology," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 152-159.
  2. Samrout, M. & Châtelet, E. & Kouta, R. & Chebbo, N., 2009. "Optimization of maintenance policy using the proportional hazard model," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 44-52.
  3. Sadiya & Mangey Ram & Akshay Kumar, 2022. "A New Approach to Compute System Reliability with Three-Serially Linked Modules," Mathematics, MDPI, vol. 11(1), pages 1-18, December.
  4. Liu, Yu & Chen, Yiming & Jiang, Tao, 2020. "Dynamic selective maintenance optimization for multi-state systems over a finite horizon: A deep reinforcement learning approach," European Journal of Operational Research, Elsevier, vol. 283(1), pages 166-181.
  5. Soni Bisht & Akshay Kumar & Nupur Goyal & Mangey Ram & Yury Klochkov, 2021. "Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network," Mathematics, MDPI, vol. 9(12), pages 1-13, June.
  6. An, Zong-Wen & Huang, Hong-Zhong & Liu, Yu, 2008. "A discrete stress–strength interference model based on universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1485-1490.
  7. Levitin, Gregory & Xie, Min & Zhang, Tieling, 2007. "Reliability of fault-tolerant systems with parallel task processing," European Journal of Operational Research, Elsevier, vol. 177(1), pages 420-430, February.
  8. Bo, Yimin & Bao, Minglei & Ding, Yi & Hu, Yishuang, 2024. "A DNN-based reliability evaluation method for multi-state series-parallel systems considering semi-Markov process," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
  9. Nourelfath, Mustapha & Yalaoui, Farouk, 2012. "Integrated load distribution and production planning in series-parallel multi-state systems with failure rate depending on load," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 138-145.
  10. Nicolae Brînzei & Jean-François Aubry, 2018. "Graphs models and algorithms for reliability assessment of coherent and non-coherent systems," Journal of Risk and Reliability, , vol. 232(2), pages 201-215, April.
  11. Du, Mengyu & Li, Yan-Fu, 2020. "An investigation of new local search strategies in memetic algorithm for redundancy allocation in multi-state series-parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
  12. Yeh, Wei-Chang & Tan, Shi-Yi & Zhu, Wenbo & Huang, Chia-Ling & Yang, Guang-yi, 2022. "Novel binary addition tree algorithm (BAT) for calculating the direct lower-bound of the highly reliable binary-state network reliability," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
  13. Ye, Zhi-Sheng & Peng, Rui & Wang, Wenbin, 2017. "Defense and attack of performance-sharing common bus systemsAuthor-Name: Zhai, Qingqing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 962-975.
  14. Zhao, Xian & He, Zongda & Wu, Yaguang & Qiu, Qingan, 2022. "Joint optimization of condition-based performance control and maintenance policies for mission-critical systems," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
  15. Bigatti, A.M. & Pascual-Ortigosa, P. & Sáenz-de-Cabezón, E., 2021. "A C++ class for multi-state algebraic reliability computations," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
  16. Yeh, Wei-Chang & Du, Chia-Ming & Tan, Shi-Yi & Forghani-elahabad, Majid, 2023. "Application of LSTM based on the BAT-MCS for binary-state network approximated time-dependent reliability problems," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
  17. Xing, Liudong & Levitin, Gregory, 2018. "Connectivity modeling and optimization of linear consecutively connected systems with repairable connecting elements," European Journal of Operational Research, Elsevier, vol. 264(2), pages 732-741.
  18. Nahas, Nabil & Khatab, Abdelhakim & Ait-Kadi, Daoud & Nourelfath, Mustapha, 2008. "Extended great deluge algorithm for the imperfect preventive maintenance optimization of multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1658-1672.
  19. Vladimir Rykov & Nika Ivanova & Irina Kochetkova, 2022. "Reliability Analysis of a Load-Sharing k -out-of- n System Due to Its Components’ Failure," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
  20. 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).
  21. Alonso-Meijide, J.M. & Casas-Méndez, B. & Fiestras-Janeiro, M.G., 2015. "Computing Banzhaf–Coleman and Shapley–Shubik power indices with incompatible players," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 377-387.
  22. Yeh, Wei-Chang & Hao, Zhifeng & Forghani-elahabad, Majid & Wang, Gai-Ge & Lin, Yih-Lon, 2021. "Novel Binary-Addition Tree Algorithm for Reliability Evaluation of Acyclic Multistate Information Networks," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
  23. George-Williams, Hindolo & Patelli, Edoardo, 2016. "A hybrid load flow and event driven simulation approach to multi-state system reliability evaluation," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 351-367.
  24. Akshay Kumar & Subhi Tyagi & Mangey Ram, 2021. "Signature of bridge structure using universal generating function," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(1), pages 53-57, February.
  25. Levitin, Gregory & Ben-Haim, Hanoch, 2011. "Consecutive sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1367-1374.
  26. Yan Li & Ming Zhou & Dawei Wang & Yuehui Huang & Zifen Han, 2017. "Universal Generating Function Based Probabilistic Production Simulation Approach Considering Wind Speed Correlation," Energies, MDPI, vol. 10(11), pages 1-15, November.
  27. Lu, Shaoqi & Shi, Daimin & Xiao, Hui, 2019. "Reliability of sliding window systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 366-376.
  28. Korczak, Edward & Levitin, Gregory, 2007. "Survivability of systems under multiple factor impact," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 269-274.
  29. Jia, Heping & Ding, Yi & Peng, Rui & Liu, Hanlin & Song, Yonghua, 2020. "Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
  30. Fazlollahtabar, Hamed & Saidi-Mehrabad, Mohammad & Balakrishnan, Jaydeep, 2015. "Integrated Markov-neural reliability computation method: A case for multiple automated guided vehicle system," Reliability Engineering and System Safety, Elsevier, vol. 135(C), pages 34-44.
  31. Hao, Zhifeng & Yeh, Wei-Chang & Zuo, Ming & Wang, Jing, 2020. "Multi-distribution multi-commodity multistate flow network model and its reliability evaluation algorithm," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  32. Lisnianski, Anatoly & Ding, Yi, 2016. "Using inverse Lz-transform for obtaining compact stochastic model of complex power station for short-term risk evaluation," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 19-27.
  33. Cao, Yingsai & Lu, Chen & Dong, Wenjie, 2024. "Importance measures for multi-state systems with multiple components under hierarchical dependences," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
  34. Lins, Isis Didier & Rêgo, Leandro Chaves & Moura, Márcio das Chagas & Droguett, Enrique López, 2013. "Selection of security system design via games of imperfect information and multi-objective genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 59-66.
  35. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
  36. Konak, Abdullah & Kulturel-Konak, Sadan & Levitin, Gregory, 2012. "Multi-objective optimization of linear multi-state multiple sliding window system," Reliability Engineering and System Safety, Elsevier, vol. 98(1), pages 24-34.
  37. Levitin, Gregory & Jia, Heping & Ding, Yi & Song, Yonghua & Dai, Yuanshun, 2017. "Reliability of multi-state systems with free access to repairable standby elements," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 192-197.
  38. G Levitin & S V Amari, 2008. "Multistate systems with static performance- dependent fault coverage," Journal of Risk and Reliability, , vol. 222(2), pages 95-103, June.
  39. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha, 2014. "Integrating noncyclical preventive maintenance scheduling and production planning for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 175-186.
  40. Niu, Yi-Feng & Song, Yi-Fan & Xu, Xiu-Zhen & Zhao, Xia, 2022. "Efficient reliability computation of a multi-state flow network with cost constraint," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
  41. Gajpal, Yuvraj & Nourelfath, Mustapha, 2015. "Two efficient heuristics to solve the integrated load distribution and production planning problem," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 204-214.
  42. Li, Jingkui & Lu, Yuze & Liu, Xiaona & Jiang, Xiuhong, 2023. "Reliability analysis of cold-standby phased-mission system based on GO-FLOW methodology and the universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
  43. Hindolo George-Williams & Geng Feng & Frank PA Coolen & Michael Beer & Edoardo Patelli, 2019. "Extending the survival signature paradigm to complex systems with non-repairable dependent failures," Journal of Risk and Reliability, , vol. 233(4), pages 505-519, August.
  44. Yeh, Wei-Chang, 2022. "Novel direct algorithm for computing simultaneous all-level reliability of multistate flow networks," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
  45. Hui Xiao & Minhao Cao & Gang Kou & Xiaojun Yuan, 2021. "Optimal element allocation and sequencing of multi-state series systems with two levels of performance sharing," Journal of Risk and Reliability, , vol. 235(2), pages 282-292, April.
  46. Levitin, Gregory & Ben-Haim, Hanoch, 2008. "Importance of protections against intentional attacks," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 639-646.
  47. Ramirez-Marquez, Jose Emmanuel & Levitin, Gregory, 2008. "Algorithm for estimating reliability confidence bounds of multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1231-1243.
  48. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2016. "Optimal task partition and state-dependent loading in heterogeneous two-element work sharing system," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 97-108.
  49. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Connectivity evaluation and optimal service centers allocation in repairable linear consecutively connected systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 187-193.
  50. Li, Y.F. & Peng, R., 2014. "Availability modeling and optimization of dynamic multi-state series–parallel systems with random reconfiguration," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 47-57.
  51. Shao, Changzheng & Ding, Yi, 2020. "Two-interdependent-performance multi-state system: Definitions and reliability evaluation," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
  52. Long, Q. & Xie, M. & Ng, S.H. & Levitin, Gregory, 2008. "Reliability analysis and optimization of weighted voting systems with continuous states input," European Journal of Operational Research, Elsevier, vol. 191(1), pages 240-252, November.
  53. Abou, Seraphin C., 2010. "Performance assessment of multi-state systems with critical failure modes: Application to the flotation metallic arsenic circuit," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 614-622.
  54. Nourelfath, Mustapha & Nahas, Nabil & Ben-Daya, Mohamed, 2016. "Integrated preventive maintenance and production decisions for imperfect processes," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 21-31.
  55. Nourelfath, Mustapha & Ait-Kadi, Daoud, 2007. "Optimization of series–parallel multi-state systems under maintenance policies," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1620-1626.
  56. Wei-Chang Yeh, 2017. "Methodology for the reliability evaluation of the novel learning-effect multi-state flow network," IISE Transactions, Taylor & Francis Journals, vol. 49(11), pages 1078-1085, November.
  57. Eryilmaz, Serkan, 2016. "A reliability model for a three-state degraded system having random degradation rates," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 59-63.
  58. Chae, Young Ho & Kim, Seung Geun & Seong, Poong Hyun, 2021. "Reliability of the system with loops: Factor graph based approach," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
  59. Zio, E. & Bazzo, R., 2011. "A clustering procedure for reducing the number of representative solutions in the Pareto Front of multiobjective optimization problems," European Journal of Operational Research, Elsevier, vol. 210(3), pages 624-634, May.
  60. Mangey Ram & Subhi Tyagi & Akshay Kumar, 2024. "Reliability evaluation of a programmable logic controller based system," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(8), pages 3620-3628, August.
  61. Hui Xiao & Rui Peng & Wenbin Wang & Fei Zhao, 2016. "Optimal element loading for linear sliding window systems," Journal of Risk and Reliability, , vol. 230(1), pages 75-84, February.
  62. Akshay Kumar & Subhi Tyagi & Mangey Ram, 0. "Signature of bridge structure using universal generating function," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 0, pages 1-5.
  63. Chaabane, K. & Khatab, A. & Diallo, C. & Aghezzaf, E.-H. & Venkatadri, U., 2020. "Integrated imperfect multimission selective maintenance and repairpersons assignment problem," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
  64. Zhou, Yifan & Lin, Tian Ran & Sun, Yong & Bian, Yangqing & Ma, Lin, 2015. "An effective approach to reducing strategy space for maintenance optimisation of multistate series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 40-53.
  65. Zhao, Xian & Dong, Bingbing & Wang, Xiaoyue, 2023. "Reliability analysis of a two-dimensional voting system equipped with protective devices considering triggering failures," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
  66. Chao-Hui Huang & Chun-Ho Wang, 2016. "Optimization of preventive maintenance for a multi-state degraded system by monitoring component performance," Journal of Intelligent Manufacturing, Springer, vol. 27(6), pages 1151-1170, December.
  67. Xia, Weifu & Wang, Yanhui & Hao, Yucheng & He, Zhichao & Yan, Kai & Zhao, Fan, 2024. "Reliability analysis for complex electromechanical multi-state systems utilizing universal generating function techniques," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
  68. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2015. "Linear multistate consecutively-connected systems subject to a constrained number of gaps," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 246-252.
  69. Eryilmaz, Serkan, 2015. "Dynamic assessment of multi-state systems using phase-type modeling," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 71-77.
  70. Gu, Liudong & Wang, Guanjun & Zhou, Yifan & Peng, Rui, 2024. "Reliability optimization of multi-state systems with two performance sharing groups," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  71. Wang, Wei & Fu, Yongnian & Si, Peng & Lin, Mingqiang, 2020. "Reliability analysis of circular multi-state sliding window system with sequential demands," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
  72. Chen, Yiming & Liu, Yu & Jiang, Tao, 2021. "Optimal maintenance strategy for multi-state systems with single maintenance capacity and arbitrarily distributed maintenance time," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
  73. Wu, Bei & Cui, Lirong & Fang, Chen, 2020. "Multi-state balanced systems with multiple failure criteria," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
  74. Mi, Jinhua & Li, Yan-Feng & Peng, Weiwen & Huang, Hong-Zhong, 2018. "Reliability analysis of complex multi-state system with common cause failure based on evidential networks," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 71-81.
  75. Wang, Wei & Fang, Chao & Wang, Yan & Li, Jin, 2022. "Reliability Modeling and Optimization of Circular Multi-State Sliding Time Window System with Sequential Demands," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
  76. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2017. "Optimal loading of series parallel systems with arbitrary element time-to-failure and time-to-repair distributions," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 34-44.
  77. Li, Yan-Fu & Zio, Enrico, 2012. "A multi-state model for the reliability assessment of a distributed generation system via universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 28-36.
  78. Peng, Rui & Mo, Huadong & Xie, Min & Levitin, Gregory, 2013. "Optimal structure of multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 18-25.
  79. Levitin, Gregory & Dai, Yuan-Shun, 2007. "Service reliability and performance in grid system with star topology," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 40-46.
  80. Kondakci, Suleyman, 2015. "Analysis of information security reliability: A tutorial," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 275-299.
  81. Xiang, Shihu & Yang, Jun, 2018. "Performance reliability evaluation for mobile ad hoc networks," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 32-39.
  82. Yeh, Wei-Chang, 2008. "A simple minimal path method for estimating the weighted multi-commodity multistate unreliable networks reliability," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 125-136.
  83. H A Taboada & J F Espiritu & D W Coit, 2008. "Design allocation of multistate series-parallel systems for power systems planning: A multiple objective evolutionary approach," Journal of Risk and Reliability, , vol. 222(3), pages 381-391, September.
  84. Niu, Yi-Feng & Gao, Zi-You & Lam, William H.K., 2017. "A new efficient algorithm for finding all d-minimal cuts in multi-state networks," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 151-163.
  85. Yeh, Wei-Chang, 2021. "Novel Algorithm for Computing All-Pairs Homogeneity-Arc Binary-State Undirected Network Reliability," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  86. Ouzineb, Mohamed & Nourelfath, Mustapha & Gendreau, Michel, 2008. "Tabu search for the redundancy allocation problem of homogenous series–parallel multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1257-1272.
  87. Levitin, Gregory & Xing, Liudong, 2010. "Reliability and performance of multi-state systems with propagated failures having selective effect," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 655-661.
  88. Yeh, Wei-Chang & Tan, Shi-Yi & Forghani-elahabad, Majid & Khadiri, Mohamed El & Jiang, Yunzhi & Lin, Chen-Shiun, 2022. "New binary-addition tree algorithm for the all-multiterminal binary-state network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
  89. Kozyra, Paweł Marcin, 2023. "The usefulness of (d,b)-MCs and (d,b)-MPs in network reliability evaluation under delivery or maintenance cost constraints," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
  90. Yeh, Wei-Chang, 2020. "A new method for verifying d-MC candidates," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  91. Wu, Congshan & Pan, Rong & Zhao, Xian & Wang, Xiaoyue, 2024. "Designing preventive maintenance for multi-state systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  92. Niu, Yi-Feng & Wan, Xiao-Yu & Xu, Xiu-Zhen & Ding, Dong, 2020. "Finding all multi-state minimal paths of a multi-state flow network via feasible circulations," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
  93. Maliheh Khorsi & Seyed Kamal Chaharsooghi & Ali Husseinzadeh Kashan & Ali Bozorgi-Amiri, 2021. "Pareto-based grouping meta-heuristic algorithm for humanitarian relief logistics with multistate network reliability," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 327-365, June.
  94. Lisnianski, Anatoly & Frenkel, Ilia & Khvatskin, Lev, 2015. "On Birnbaum importance assessment for aging multi-state system under minimal repair by using the Lz-transform method," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 258-266.
  95. M. López-Campos & F. Kristjanpoller & P. Viveros & R. Pascual, 2018. "Reliability Assessment Methodology for Massive Manufacturing Using Multi-Function Equipment," Complexity, Hindawi, vol. 2018, pages 1-8, February.
  96. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha & Gershwin, Stanley B., 2017. "Performance evaluation of a two-machine line with a finite buffer and condition-based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 61-72.
  97. Yeh, Wei-Chang, 2023. "Novel recursive inclusion-exclusion technology based on BAT and MPs for heterogeneous-arc binary-state network reliability problems," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
  98. Liu, Yu & Liu, Qinzhen & Xie, Chaoyang & Wei, Fayuan, 2019. "Reliability assessment for multi-state systems with state transition dependency," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 276-288.
  99. Dong, Wenjie & Liu, Sifeng & Tao, Liangyan & Cao, Yingsai & Fang, Zhigeng, 2019. "Reliability variation of multi-state components with inertial effect of deteriorating output performances," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 176-185.
  100. Vlad Stefan Barbu & Nicolas Vergne, 2019. "Reliability and Survival Analysis for Drifting Markov Models: Modeling and Estimation," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1407-1429, December.
  101. Yeh, Wei-Chang, 2022. "Novel self-adaptive Monte Carlo simulation based on binary-addition-tree algorithm for binary-state network reliability approximation," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
  102. Wang, Yong & Li, Lin & Huang, Shuhong & Chang, Qing, 2012. "Reliability and covariance estimation of weighted k-out-of-n multi-state systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 138-147.
  103. Yeh, Wei-Chang & Chu, Ta-Chung, 2018. "A novel multi-distribution multi-state flow network and its reliability optimization problem," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 209-217.
  104. Levitin, Gregory & Amari, Suprasad V., 2008. "Multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1730-1739.
  105. Vladimir Rykov & Nika Ivanova & Dmitry Kozyrev & Tatyana Milovanova, 2022. "On Reliability Function of a k -out-of- n System with Decreasing Residual Lifetime of Surviving Components after Their Failures," Mathematics, MDPI, vol. 10(22), pages 1-16, November.
  106. Ding, Yi & Cui, Wenqi & Zhang, Shujun & Hui, Hongxun & Qiu, Yiwei & Song, Yonghua, 2019. "Multi-state operating reserve model of aggregate thermostatically-controlled-loads for power system short-term reliability evaluation," Applied Energy, Elsevier, vol. 241(C), pages 46-58.
  107. Serkan Eryilmaz, 2016. "Consecutive k-out-of-n lines with a change point," Journal of Risk and Reliability, , vol. 230(6), pages 545-550, December.
  108. Tian, Tianzi & Yang, Jun & Li, Lei & Wang, Ning, 2023. "Reliability assessment of performance-based balanced systems with rebalancing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
  109. Alkaff, Abdullah, 2021. "Discrete time dynamic reliability modeling for systems with multistate components," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
  110. Gu, Liudong & Wang, Guanjun & Zhou, Yifan, 2024. "Optimal allocation of multi-state performance sharing systems with multiple common buses," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
  111. Jinlei Qin & Zheng Li, 2019. "Reliability and Sensitivity Analysis Method for a Multistate System with Common Cause Failure," Complexity, Hindawi, vol. 2019, pages 1-8, May.
  112. Lai, Chyh-Ming & Yeh, Wei-Chang, 2016. "Two-stage simplified swarm optimization for the redundancy allocation problem in a multi-state bridge system," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 148-158.
  113. Wu, Congshan & Zhao, Xian & Wang, Xiaoyue & Wang, Siqi, 2021. "Reliability analysis of performance-based balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
  114. Ma, Ye & Chi, Yuanying & Wu, Di & Peng, Rui & Wu, Shaomin, 2021. "Reliability of integrated electricity and gas supply system with performance substitution and sharing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
  115. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Huang, Hong-Zong, 2019. "Dynamic demand satisfaction probability of consecutive sliding window systems with warm standby components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 397-405.
  116. Tazi, Nacef & Châtelet, Eric & Bouzidi, Youcef, 2018. "How combined performance and propagation of failure dependencies affect the reliability of a MSS," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 531-541.
  117. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
  118. Zio, E. & Bazzo, R., 2011. "Level Diagrams analysis of Pareto Front for multiobjective system redundancy allocation," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 569-580.
  119. Levitin, Gregory & Xing, Liudong & Huang, Hong Zhong, 2019. "Dynamic availability and performance deficiency of common bus systems with imperfectly repairable components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 58-66.
  120. Gregory Levitin & Heping Jia & Yi Ding & Yonghua Song, 2017. "1-out-of-N multi-state standby systems with state-dependent random replacement times," Journal of Risk and Reliability, , vol. 231(6), pages 750-760, December.
  121. Yu, Huan & Yang, Jun & Peng, Rui & Zhao, Yu, 2016. "Reliability evaluation of linear multi-state consecutively-connected systems constrained by m consecutive and n total gaps," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 35-43.
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  123. Xiang, Yanping & Levitin, Gregory, 2011. "Service task partition and distribution in star topology computer grid subject to data security constraints," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1507-1514.
  124. Levitin, Gregory, 2007. "Block diagram method for analyzing multi-state systems with uncovered failures," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 727-734.
  125. Xu, Xiu-Zhen & Niu, Yi-Feng & Song, Yi-Fan, 2021. "Computing the reliability of a stochastic distribution network subject to budget constraint," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
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  127. Levitin, Gregory & Amari, Suprasad V., 2009. "Optimal load distribution in series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 254-260.
  128. Tian, Zhigang & Levitin, Gregory & Zuo, Ming J., 2009. "A joint reliability–redundancy optimization approach for multi-state series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1568-1576.
  129. Wu, Di & Chi, Yuanying & Peng, Rui & Sun, Mengyao, 2019. "Reliability of capacitated systems with performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 335-344.
  130. Hausken, Kjell & Levitin, Gregory, 2009. "Minmax defense strategy for complex multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 577-587.
  131. Vaibhav Gaur & Om Prakash Yadav & Gunjan Soni & Ajay Pal Singh Rathore, 2021. "A literature review on network reliability analysis and its engineering applications," Journal of Risk and Reliability, , vol. 235(2), pages 167-181, April.
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  133. Yeh, Wei-Chang, 2023. "QB-II for evaluating the reliability of binary-state networks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
  134. Su, Peng & Wang, Guanjun & Duan, Fengjun, 2020. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state system with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
  135. Z-W An & H-Z Huang & D Lin, 2009. "An approach to reliability evaluation of multiple V-belt drives considering the deviation of belt length," Journal of Risk and Reliability, , vol. 223(2), pages 159-166, June.
  136. Lin, Jin & Cheng, Lin & Chang, Yao & Zhang, Kai & Shu, Bin & Liu, Guangyi, 2014. "Reliability based power systems planning and operation with wind power integration: A review to models, algorithms and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 31(C), pages 921-934.
  137. Jiang, Tao & Liu, Yu, 2017. "Parameter inference for non-repairable multi-state system reliability models by multi-level observation sequences," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 3-15.
  138. Cheng, Chen & Yang, Jun & Li, Lei, 2020. "Reliability assessment of multi-state phased mission systems with common bus performance sharing considering transmission loss and performance storage," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
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  142. Xiang, Yanping & Levitin, Gregory, 2012. "Combined m-consecutive and k-out-of-n sliding window systems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 105-113.
  143. Yeh, Wei-Chang, 2017. "Evaluation of the one-to-all-target-subsets reliability of a novel deterioration-effect acyclic multi-state information network," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 132-137.
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  145. Yeh, Wei-Chang, 2021. "Novel binary-addition tree algorithm (BAT) for binary-state network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
  146. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Consecutively connected systems with unreliable resource generators and storages," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  147. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2013. "Cold-standby sequencing optimization considering mission cost," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 28-34.
  148. Yeh, Wei-Chang & Bae, Changseok & Huang, Chia-Ling, 2015. "A new cut-based algorithm for the multi-state flow network reliability problem," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 1-7.
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  151. Yeh, Wei-Chang, 2021. "A quick BAT for evaluating the reliability of binary-state networks," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  152. Gámiz, M.L. & Martínez Miranda, M.D., 2010. "Regression analysis of the structure function for reliability evaluation of continuous-state system," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 134-142.
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  158. Cao, Yingsai & Liu, Sifeng & Fang, Zhigeng & Dong, Wenjie, 2020. "Modeling ageing effects for multi-state systems with multiple components subject to competing and dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
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