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Importance measure-based maintenance strategy optimization: Fundamentals, applications and future directions in AI and IoT
Received date: 05 Jan 2024
Revised date: 07 Apr 2024
Accepted date: 27 Apr 2024
Published date: 15 Sep 2024
Copyright
Numerous maintenance strategies have been proposed in the literature related to reliability. This paper focuses on the utilization of reliability importance measures to optimize maintenance strategies. We analyze maintenance strategies based on importance measures and identify areas lacking sufficient research. The paper presents principles and formulas for advanced importance measures within the context of optimizing maintenance strategies. Additionally, it classifies methods of maintenance strategy optimization according to importance measures and outlines the roles of these measures in various maintenance strategies. Finally, it discusses potential challenges that optimization of maintenance strategies based on importance measures may encounter with future technologies.
Key words: maintenance strategy; importance measure; reliability; maintenance cost
Hongyan DUI , Xinmin WU , Shaomin WU , Min XIE . Importance measure-based maintenance strategy optimization: Fundamentals, applications and future directions in AI and IoT[J]. Frontiers of Engineering Management, 2024 , 11(3) : 542 -567 . DOI: 10.1007/s42524-024-4003-0
1 |
Ahmad R, Kamaruddin S, (2012). An overview of time-based and condition-based maintenance in industrial application. Computers & Industrial Engineering, 63( 1): 135–149
|
2 |
Alaswad S, Xiang Y, (2017). A review on condition-based maintenance optimization models for stochastically deteriorating system. Reliability Engineering & System Safety, 157: 54–63
|
3 |
Andrews J D, Beeson S, (2003). Birnbaum’s measure of component importance for noncoherent systems. IEEE Transactions on Reliability, 52( 2): 213–219
|
4 |
Armstrong M J, (1995). Joint reliability-importance of components. IEEE Transactions on Reliability, 44( 3): 408–412
|
5 |
Bai G, Wang H, Zheng X, Dui H, Xie M, (2021). Improved resilience measure for component recovery priority in power grids. Frontiers of Engineering Management, 8( 4): 545–556
|
6 |
Besnard F, Bertling L, (2010). An approach for condition-based maintenance optimization applied to wind turbine blades. IEEE Transactions on Sustainable Energy, 1( 2): 77–83
|
7 |
Birnbaum Z W, (1968). On the importance of different components in a multicomponent systems. Journal of Multivariate Analysis, II: 581–592
|
8 |
Bressi S, Santos J, Losa M, (2021). Optimization of maintenance strategies for railway track-bed considering probabilistic degradation models and different reliability levels. Reliability Engineering & System Safety, 207: 107359
|
9 |
Bris R, Châtelet E, Yalaoui F, (2003). New method to minimize the preventive maintenance cost of series–parallel systems. Reliability Engineering & System Safety, 82( 3): 247–255
|
10 |
CaiZMaC WangWZhang P (2019). Maintenance optimization of consecutive-k-out-of-n system with multi-objective Birnbaum importance-based particle swarm optimization. In: 2019 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Macao, 2019, 1216–1220
|
11 |
Cai Z, Si S, Sun S, Li C, (2016). Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm. Reliability Engineering & System Safety, 152: 248–258
|
12 |
Cao W, Jia X, Hu Q, Zhao J, Wu Y, (2018). A literature review on selective maintenance for multi‐unit systems. Quality and Reliability Engineering International, 34( 5): 824–845
|
13 |
Carbonari A, Messi L, Naticchia B, Vaccarini M, Pirani M, (2020). Development of a BIM-based holonic system for real-time monitoring of building operational efficiency. Frontiers of Engineering Management, 7( 1): 89–103
|
14 |
Chen L, Cheng C, Dui H, Xing L, (2022). Maintenance cost-based importance analysis under different maintenance strategies. Reliability Engineering & System Safety, 222: 108435
|
15 |
Chen L, Gao Y, Dui H, Xing L, (2021). Importance measure-based maintenance optimization strategy for pod slewing system. Reliability Engineering & System Safety, 216: 108001
|
16 |
Chen L, Kou M, Wang S, (2020). On the use of importance measures in the reliability of inventory systems, considering the cost. Applied Sciences, 10( 21): 7942
|
17 |
Chen Y, Feng H, (2022). Maintenance strategy of multicomponent system based on structure updating and group importance measure. Communications in Statistics. Theory and Methods, 51( 9): 2919–2935
|
18 |
Cheng G Q, Zhou B H, Li L, (2017). Joint optimization of lot sizing and condition-based maintenance for multi-component production systems. Computers & Industrial Engineering, 110: 538–549
|
19 |
Cheok M C, Parry G W, Sherry R R, (1998). Use of importance measures in risk-informed regulatory applications. Reliability Engineering & System Safety, 60( 3): 213–226
|
20 |
Cho D I, Parlar M, (1991). A survey of maintenance models for multi-unit systems. European Journal of Operational Research, 51( 1): 1–23
|
21 |
de Jonge B, Scarf P A, (2020). A review on maintenance optimization. European Journal of Operational Research, 285( 3): 805–824
|
22 |
Dekker R, (1996). Applications of maintenance optimization models: A review and analysis. Reliability Engineering & System Safety, 51( 3): 229–240
|
23 |
Dekker R, Wildeman R E, Van Der Duyn Schouten F A, (1997). A review of multi-component maintenance models with economic dependence. Mathematical Methods of Operations Research, 45( 3): 411–435
|
24 |
Do P, Bérenguer C, (2022). Residual life-based importance measures for predictive maintenance decision-making. Proceedings of the Institution of Mechanical Engineers. Part O, Journal of Risk and Reliability, 236( 1): 98–113
|
25 |
Dui H, Li C, Chen L, (2019a). Reliability-oriented extended importance measures in uncertain inventory systems for mechanical products. Advances in Mechanical Engineering, 11( 2): 1–9
|
26 |
Dui H, Chen L, Wu S, (2017a). Generalized integrated importance measure for system performance evaluation: Application to a propeller plane system. Eksploatacja i Niezawodnosc - Maintenance and Reliability, 19( 2): 279–286
|
27 |
Dui H, Chen S, Zhou Y, Wu S, (2022f). Maintenance analysis of transportation networks by the traffic transfer principle considering node idle capacity. Reliability Engineering & System Safety, 221: 108386
|
28 |
Dui H, Zhang C, Tian T, Wu S, (2022d). Different costs-informed component preventive maintenance with system lifetime changes. Reliability Engineering & System Safety, 228: 108755
|
29 |
DuiHDongX WuXChenL BaiG (2024). IoT-enabled risk warning and maintenance strategy optimization for tunnel-induced ground settlement. IEEE Internet of Things Journal
|
30 |
Dui H, Li S, Xing L, Liu H, (2019b). System performance-based joint importance analysis guided maintenance for repairable systems. Reliability Engineering & System Safety, 186: 162–175
|
31 |
DuiHLiuK WuS (2023b). Data-driven reliability and resilience measure of transportation systems considering disaster levels. Annals of Operations Research
|
32 |
Dui H, Liu M, Song J, Wu S, (2023g). Importance measure-based resilience management: review, methodology and perspectives on maintenance. Reliability Engineering & System Safety, 237: 109383
|
33 |
Dui H, Lu Y, Gao Z, Xing L, (2023d). Performance efficiency and cost analysis of multi-state systems with successive damage and maintenance in multiple shock events. Reliability Engineering & System Safety, 238: 109403
|
34 |
Dui H, Si S, Cui L, Cai Z, Sun S, (2014). Component importance for multi-state system lifetimes with renewal functions. IEEE Transactions on Reliability, 63( 1): 105–117
|
35 |
Dui H, Si S, Wu S, Yam R C M, (2017b). An importance measure for multistate systems with external factors. Reliability Engineering & System Safety, 167: 49–57
|
36 |
Dui H, Si S, Yam R C M, (2017c). A cost-based integrated importance measure of system components for preventive maintenance. Reliability Engineering & System Safety, 168: 98–104
|
37 |
Dui H, Si S, Yam R C M, (2018). Importance measures for optimal structure in linear consecutive-k-out-of-n systems. Reliability Engineering & System Safety, 169: 339–350
|
38 |
Dui H, Si S, Zuo M J, Sun S, (2015). Semi-markov process-based integrated importance measure for multi-state systems. IEEE Transactions on Reliability, 64( 2): 754–765
|
39 |
Dui H, Tian T, Wu S, Xie M, (2023e). A cost-informed component maintenance index and its applications. Reliability Engineering & System Safety, 230: 108904
|
40 |
Dui H, Wang X, Zhou H, (2023a). Redundancy-based resilience optimization of multi-component systems. Mathematics, 11( 14): 3151
|
41 |
Dui H, Wei X, Xing L, (2023h). A new multi-criteria importance measure and its applications to risk reduction and safety enhancement. Reliability Engineering & System Safety, 235: 109275
|
42 |
Dui H, Wei X, Xing L, Chen L, (2023i). Performance-based maintenance analysis and resource allocation in irrigation networks. Reliability Engineering & System Safety, 230: 108910
|
43 |
Dui H, Wu S, Zhao J, (2021c). Some extensions of the component maintenance priority. Reliability Engineering & System Safety, 214: 107729
|
44 |
Dui H, Xu H, Zhang Y A, (2022a). Reliability analysis and redundancy optimization of a command post phased-mission system. Mathematics, 10( 22): 4180
|
45 |
Dui H, Yang Y, Zhang Y, Zhu Y, (2022e). Recovery analysis and maintenance priority of metro networks based on importance measure. Mathematics, 10( 21): 3989
|
46 |
Dui H, Zhang C, Bai G, Chen L, (2021b). Mission reliability modeling of UAV swarm and its structure optimization based on importance measure. Reliability Engineering & System Safety, 215: 107879
|
47 |
Dui H, Zhang C, Zheng X, (2020). Component joint importance measures for maintenances in submarine blowout preventer system. Journal of Loss Prevention in the Process Industries, 63: 104003
|
48 |
Dui H, Zhang H, Wu S, (2023k). Optimisation of maintenance policies for a deteriorating multi-component system under external shocks. Reliability Engineering & System Safety, 238: 109415
|
49 |
DuiHZhangL ChenLWu S (2023c). Cascading failures and maintenance optimization of urban transportation networks. Eksploatacja i Niezawodnosc - Maintenance and Reliability, 25(3)
|
50 |
Dui H, Zhang Y, Zhang S, Zhang Y A, (2023f). Recovery model and maintenance optimization for urban road networks with congestion. Mathematics, 11( 9): 2004
|
51 |
Dui H, Zhang Y, Zhang Y A, (2023j). Grouping maintenance policy for improving reliability of wind turbine systems considering variable cost. Mathematics, 11( 8): 1954
|
52 |
Dui H, Xu Z, Chen L, Xing L, Liu B, (2022b). Data-driven maintenance priority and resilience evaluation of performance loss in a main coolant system. Mathematics, 10( 4): 563
|
53 |
Dui H, Zheng X, Guo J, Xiao H, (2022c). Importance measure-based resilience analysis of a wind power generation system. Proceedings of the Institution of Mechanical Engineers. Part O, Journal of Risk and Reliability, 236( 3): 395–405
|
54 |
Dui H, Zheng X, Wu S, (2021a). Resilience analysis of maritime transportation systems based on importance measures. Reliability Engineering & System Safety, 209: 107461
|
55 |
Dui H, Zheng X, Zhao Q, Fang Y, (2021d). Preventive maintenance of multiple components for hydraulic tension systems. Eksploatacja i Niezawodnosc - Maintenance and Reliability, 23( 3): 489–497
|
56 |
Fu Y, Yuan T, Zhu X, (2019). Optimum periodic component reallocation and system replacement maintenance. IEEE Transactions on Reliability, 68( 2): 753–763
|
57 |
Fussell J B, (1975). How to hand-calculate system reliability and safety characteristics. IEEE Transactions on Reliability, R-24( 3): 169–174
|
58 |
Gao X, Cui L, Li J, (2007). Analysis for joint importance of components in a coherent system. European Journal of Operational Research, 182( 1): 282–299
|
59 |
Garg A, Deshmukh S G, (2006). Maintenance management: literature review and directions. Journal of Quality in Maintenance Engineering, 12( 3): 205–238
|
60 |
Golari M, Fan N, Wang J, (2014). Two-stage stochastic optimal islanding operations under severe multiple contingencies in power grids. Electric Power Systems Research, 114: 68–77
|
61 |
Grall A, Dieulle L, Bérenguer C, Roussignol M, (2002). Continuous-time predictive-maintenance scheduling for a deteriorating system. IEEE Transactions on Reliability, 51( 2): 141–150
|
62 |
Gravette M A, Barker K, (2015). Achieved availability importance measure for enhancing reliability-centered maintenance decisions. Proceedings of the Institution of Mechanical Engineers. Part O, Journal of Risk and Reliability, 229( 1): 62–72
|
63 |
Griffith W S, (1980). Multistate reliability models. Journal of Applied Probability, 17( 3): 735–744
|
64 |
Groenevelt H, Pintelon L, Seidmann A, (1992). Production lot sizing with machine breakdowns. Management Science, 38( 1): 104–123
|
65 |
Guo Z, Zhang Y, Liu S, Wang X V, Wang L, (2023). Exploring self-organization and self-adaption for smart manufacturing complex networks. Frontiers of Engineering Management, 10( 2): 206–222
|
66 |
Gupta S, Bhattacharya J, Barabady J, Kumar U, (2013). Cost-effective importance measure. International Journal of Quality & Reliability Management, 30( 4): 379–386
|
67 |
Han X, Wang Z, Xie M, He Y, Li Y, Wang W, (2021). Remaining useful life prediction and predictive maintenance strategies for multi-state manufacturing systems considering functional dependence. Reliability Engineering & System Safety, 210: 107560
|
68 |
Hong J S, Koo H Y, Lie C H, (2000). Computation of joint reliability importance of two gate events in a fault tree. Reliability Engineering & System Safety, 68( 1): 1–5
|
69 |
Hong J S, Koo H Y, Lie C H, (2002). Joint reliability importance of k-out-of-n systems. European Journal of Operational Research, 142( 3): 539–547
|
70 |
Hong J S, Lie C H, (1993). Joint reliability-importance of two edges in an undirected network. IEEE Transactions on Reliability, 42( 1): 17–23
|
71 |
Hu J, Wang Y, Pang Y, Liu Y, (2022). Optimal maintenance scheduling under uncertainties using linear programming-enhanced reinforcement learning. Engineering Applications of Artificial Intelligence, 109: 104655
|
72 |
Huang M, Hao Y, Wang Y, Hu X, Li L, (2023). Split-order consolidation optimization for online supermarkets: Process analysis and optimization models. Frontiers of Engineering Management, 10( 3): 499–516
|
73 |
Huang Y, Wolfram P, Miller R, Azarijafari H, Guo F, An K, Li J, Hertwich E, Gregory J, Wang C, (2022). Mitigating life cycle GHG emissions of roads to be built through 2030: Case study of a Chinese province. Journal of Environmental Management, 319: 115512
|
74 |
Ikuzwe A, Ye X, Xia X, (2020). Energy-maintenance optimization for retrofitted lighting system incorporating luminous flux degradation to enhance visual comfort. Applied Energy, 261: 114379
|
75 |
Ilangkumaran M, Kumanan S, (2012). Application of hybrid VIKOR model in selection of maintenance strategy. International Journal of Information Systems and Supply Chain Management, 5( 2): 59–81
|
76 |
Kim S, Ge B, Frangopol D M, (2020). Optimum target reliability determination for efficient service life management of bridge networks. Journal of Bridge Engineering, 25( 10): 04020087
|
77 |
Levitin G, Lisnianski A, (2000). Optimization of imperfect preventive maintenance for multi-state systems. Reliability Engineering & System Safety, 67( 2): 193–203
|
78 |
Levitin G, Podofillini L, Zio E, (2003). Generalised importance measures for multi-state elements based on performance level restrictions. Reliability Engineering & System Safety, 82( 3): 287–298
|
79 |
Levitin G, Xing L, Xiang Y, (2021). Optimizing preventive replacement schedule in standby systems with time consuming task transfers. Reliability Engineering & System Safety, 205: 107227
|
80 |
Li F, Yang M, Du W, Dai X, (2020b). Development and challenges of planning and scheduling for petroleum and petrochemical production. Frontiers of Engineering Management, 7( 3): 373–383
|
81 |
Li Y, Peng S, Li Y, Jiang W, (2020a). A review of condition-based maintenance: its prognostic and operational aspects. Frontiers of Engineering Management, 7( 3): 323–334
|
82 |
Lin F H, Kuo W, (2002). Reliability importance and invariant optimal allocation. Journal of Heuristics, 8( 2): 155–171
|
83 |
Lin J, Kumar U, (2017). IN2CLOUD: a novel concept for collaborative management of big railway data. Frontiers of Engineering Management, 4( 4): 428–436
|
84 |
Lin T W, Wang C H, (2010). A new approach to minimize non-periodic preventive maintenance cost using importance measures of components. Journal of Scientific and Industrial Research, 69: 667–671
|
85 |
Lin T W, Wang C H, (2012). A hybrid genetic algorithm to minimize the Periodic preventive maintenance cost in a series-parallel system. Journal of Intelligent Manufacturing, 23( 4): 1225–1236
|
86 |
Lin Y H, Li Y F, Zio E, (2016). Component importance measures for components with multiple dependent competing degradation processes and subject to maintenance. IEEE Transactions on Reliability, 65( 2): 547–557
|
87 |
Liu H, (2019). Reliability and maintenance modeling for competing risk processes with Weibull inter-arrival shocks. Applied Mathematical Modelling, 71: 194–207
|
88 |
Lyu D, Si S, (2020). Dynamic importance measure for the k-out-of-n: G system under repeated random load. Reliability Engineering & System Safety, 195: 106720
|
89 |
Ma C, Wang W, Cai Z, Zhao J, (2022). Maintenance optimization of reconfigurable systems based on multi-objective Birnbaum importance. Proceedings of the Institution of Mechanical Engineers. Part O, Journal of Risk and Reliability, 236( 2): 277–289
|
90 |
Mancuso A, Compare M, Salo A, Zio E, (2021). Optimal prognostics and health management-driven inspection and maintenance strategies for industrial systems. Reliability Engineering & System Safety, 210: 107536
|
91 |
Marseguerra M, Zio E, (2000). Optimizing maintenance and repair policies via a combination of genetic algorithms and Monte Carlo simulation. Reliability Engineering & System Safety, 68( 1): 69–83
|
92 |
Marseguerra M, Zio E, (2004). Monte Carlo estimation of the differential importance measure: application to the protection system of a nuclear reactor. Reliability Engineering & System Safety, 86( 1): 11–24
|
93 |
McCall J J, (1965). Maintenance policies for stochastically failing equipment: a survey. Management Science, 11( 5): 493–524
|
94 |
Meng F C, (1996). Comparing the importance of system components by some structural characteristics. IEEE Transactions on Reliability, 45( 1): 59–65
|
95 |
Ming Tan C, Raghavan N, (2008). A framework to practical predictive maintenance modeling for multi-state systems. Reliability Engineering & System Safety, 93( 8): 1138–1150
|
96 |
Natvig , (1979). A suggestion of a new measure of importance of system components. Stochastic Processes and their Applications, 9: 319–330
|
97 |
Nguyen K A, Do P, Grall A, (2014). Condition-based maintenance for multi-component systems using importance measure and predictive information. International Journal of Systems Science: Operations & Logistics, 1( 4): 228–245
|
98 |
Nguyen K A, Do P, Grall A, (2017). Joint predictive maintenance and inventory strategy for multi-component systems using Birnbaum’s structural importance. Reliability Engineering & System Safety, 168: 249–261
|
99 |
Olde Keizer M C A, Flapper S D P, Teunter R H, (2017). Condition-based maintenance policies for systems with multiple dependent components: A review. European Journal of Operational Research, 261( 2): 405–420
|
100 |
Petritoli E, Leccese F, Ciani L, (2018). Reliability and maintenance analysis of unmanned aerial vehicles. Sensors, 18( 9): 3171
|
101 |
Pham H, Wang H, (1996). Imperfect maintenance. European Journal of Operational Research, 94( 3): 425–438
|
102 |
Pintelon L M, Gelders L F, (1992). Maintenance management decision making. European Journal of Operational Research, 58( 3): 301–317
|
103 |
Ramirez-Marquez J E, Rocco C M, Gebre B A, Coit D W, Tortorella M, (2006). New insights on multi-state component criticality and importance. Reliability Engineering & System Safety, 91( 8): 894–904
|
104 |
Ren Y, (2021). Optimizing predictive maintenance with machine learning for reliability improvement. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 7( 3): 030801
|
105 |
Barlow R E, Proschan F, (1975). Importance of system components and fault tree events. Stochastic Processes and Their Applications, 3( 2): 153–173
|
106 |
Samrout M, Yalaoui F, Châtelet E, Chebbo N, (2005). New methods to minimize the preventive maintenance cost of series–parallel systems using ant colony optimization. Reliability Engineering & System Safety, 89( 3): 346–354
|
107 |
Seites-Rundlett W, Bashar M Z, Torres-Machi C, Corotis R B, (2022). Combined evidence model to enhance pavement condition prediction from highly uncertain sensor data. Reliability Engineering & System Safety, 217: 108031
|
108 |
Sharma A, Yadava G S, Deshmukh S G, (2011). A literature review and future perspectives on maintenance optimization. Journal of Quality in Maintenance Engineering, 17( 1): 5–25
|
109 |
Shi Y, Lu Z, Huang H, Liu Y, Li Y, Zio E, Zhou Y, (2022). A new preventive maintenance strategy optimization model considering lifecycle safety. Reliability Engineering & System Safety, 221: 108325
|
110 |
Shi Y, Zhu W, Xiang Y, Feng Q, (2020). Condition-based maintenance optimization for multi-component systems subject to a system reliability requirement. Reliability Engineering & System Safety, 202: 107042
|
111 |
Si S, Cai Z, Sun S, Zhang S, (2010). Integrated importance measures of multi-state systems under uncertainty. Computers & Industrial Engineering, 59( 4): 921–928
|
112 |
Si S, Dui H, Cai Z, Sun S, (2012c). The integrated importance measure of multi-state coherent systems for maintenance processes. IEEE Transactions on Reliability, 61( 2): 266–273
|
113 |
Si S, Dui H, Cai Z, Sun S, Zhang Y, (2012b). Joint integrated importance measure for multi-state transition systems. Communications in Statistics. Theory and Methods, 41( 21): 3846–3862
|
114 |
Si S, Dui H, Zhao X, Zhang S, Sun S, (2012a). Integrated importance measure of component states based on loss of system performance. IEEE Transactions on Reliability, 61( 1): 192–202
|
115 |
Si S, Levitin G, Dui H, Sun S, (2013). Component state-based integrated importance measure for multi-state systems. Reliability Engineering & System Safety, 116: 75–83
|
116 |
Si S, Zhao J, Cai Z, Dui H, (2020). Recent advances in system reliability optimization driven by importance measures. Frontiers of Engineering Management, 7( 3): 335–358
|
117 |
Syan C S, Ramsoobag G, (2019). Maintenance applications of multi-criteria optimization: A review. Reliability Engineering & System Safety, 190: 106520
|
118 |
Velmurugan R S, Dhingra T, (2015). Maintenance strategy selection and its impact in maintenance function A conceptual framework. International Journal of Operations & Production Management, 35( 12): 1622–1661
|
119 |
Vesely W E, Davis T C, (1985). Two measures of risk importance and their application. Nuclear Technology, 68( 2): 226–234
|
120 |
Vu H C, Do P, Barros A, (2016). A stationary grouping maintenance strategy using mean residual life and the Birnbaum importance measure for complex structures. IEEE Transactions on Reliability, 65( 1): 217–234
|
121 |
WangC HLin T W (2010). Improved genetic algorithm for minimizing periodic preventive maintenance costs in series-parallel systems. In: Hsu, Ching-Hsien, Laurence T. Yang, Jong Hyuk Park, et al. (Eds.), Algorithms and Architectures for Parallel Processing Lecture Notes in Computer Science. (Berlin, Heidelberg: Springer Berlin Heidelberg): 91–101
|
122 |
Wang H, (2002). A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 139( 3): 469–489
|
123 |
Wang J, Wang Y, Zhang Y, Liu Y, Shi C, (2022). Life cycle dynamic sustainability maintenance strategy optimization of fly ash RC beam based on Monte Carlo simulation. Journal of Cleaner Production, 351: 131337
|
124 |
Wang X, Zhou H, Parlikad A K, Xie M, (2020). Imperfect preventive maintenance policies with unpunctual execution. IEEE Transactions on Reliability, 69( 4): 1480–1492
|
125 |
Wang Y, Han Y, Gong D, Li H, (2023). A review of intelligent optimization for group scheduling problems in cellular manufacturing. Frontiers of Engineering Management, 10( 3): 406–426
|
126 |
Wu G, Li M, Li Z S, (2021b). A gene importance based evolutionary algorithm (GIEA) for identifying critical nodes in cyber–physical power systems. Reliability Engineering & System Safety, 214: 107760
|
127 |
Wu G, Li Z S, (2021). Cyber-physical power system (CPPS): A review on measures and optimization methods of system resilience. Frontiers of Engineering Management, 8( 4): 503–518
|
128 |
Wu S, (2005). Joint importance of multistate systems. Computers & Industrial Engineering, 49( 1): 63–75
|
129 |
Wu S, Castro I T, (2020). Maintenance policy for a system with a weighted linear combination of degradation processes. European Journal of Operational Research, 280( 1): 124–133
|
130 |
Wu S, Chan L Y, (2003). Performance utility-analysis of multi-state systems. IEEE Transactions on Reliability, 52( 1): 14–21
|
131 |
Wu S, Chen Y, Wu Q, Wang Z, (2016). Linking component importance to optimisation of preventive maintenance policy. Reliability Engineering & System Safety, 146: 26–32
|
132 |
Wu S, Coolen F P A, (2013). A cost-based importance measure for system components: an extension of the Birnbaum importance. European Journal of Operational Research, 225( 1): 189–195
|
133 |
Wu S, Yang J, Peng R, Zhai Q, (2021a). Optimal design of facility allocation and maintenance strategy for a cellular network. Reliability Engineering & System Safety, 205: 107253
|
134 |
Xiahou T, Liu Y, Jiang T, (2018). Extended composite importance measures for multi-state systems with epistemic uncertainty of state assignment. Mechanical Systems and Signal Processing, 109: 305–329
|
135 |
Xie M, Shen K, (1989). On ranking of system components with respect to different improvement actions. Microelectronics and Reliability, 29( 2): 159–164
|
136 |
Xing L, Levitin G, (2018). Connectivity modeling and optimization of linear consecutively connected systems with repairable connecting elements. European Journal of Operational Research, 264( 2): 732–741
|
137 |
Yan J, Hu B, Xie K, Niu T, Li C, Tai H M, (2021). Dynamic repair scheduling for transmission systems based on look-ahead strategy approximation. IEEE Transactions on Power Systems, 36( 4): 2918–2933
|
138 |
Yao Q, Zhu X, Kuo W, (2014). A Birnbaum-importance based genetic local search algorithm for component assignment problems. Annals of Operations Research, 212( 1): 185–200
|
139 |
Zhang C, Chen R, Wang S, Dui H, Zhang Y, (2022b). Resilience efficiency importance measure for the selection of a component maintenance strategy to improve system performance recovery. Reliability Engineering & System Safety, 217: 108070
|
140 |
Zhang C, Qian Y, Dui H, Wang S, Shi J, (2020). Component failure recognition and maintenance optimization for offshore heave compensation systems based on importance measures. Journal of Loss Prevention in the Process Industries, 63: 103996
|
141 |
Zhang C, Zhang Y, Dui H, Wang S, Tomovic M, (2022a). Importance measure-based maintenance strategy considering maintenance costs. Eksploatacja i Niezawodność – Maintenance and Reliability, 24( 1): 15–24
|
142 |
Zhang M, (2020). A heuristic policy for maintaining multiple multi-state systems. Reliability Engineering & System Safety, 203: 107081
|
143 |
Zhang W, Wang N, (2017). Bridge network maintenance prioritization under budget constraint. Structural Safety, 67: 96–104
|
144 |
Zhao J, Si S, Cai Z, (2019). A multi-objective reliability optimization for reconfigurable systems considering components degradation. Reliability Engineering & System Safety, 183: 104–115
|
145 |
Zhao X, Si S, Dui H, Cai Z, Sun S, (2013). Integrated importance measure for multi-sate coherent systems of k level. Journal of Systems Engineering and Electronics, 24( 6): 1029–1037
|
146 |
Zhou Y, Li B, Lin T R, (2022). Maintenance optimisation of multicomponent systems using hierarchical coordinated reinforcement learning. Reliability Engineering & System Safety, 217: 108078
|
147 |
Zhu X, Chen Z, Borgonovo E, (2021). Remaining-useful-lifetime and system-remaining-profit based importance measures for decisions on preventive maintenance. Reliability Engineering & System Safety, 216: 107951
|
148 |
Zhuang X, Zhang Y, Han L, Jiang J, Hu L, Wu S, (2023). Two-stage stochastic programming with robust constraints for the logistics network post-disruption response strategy optimization. Frontiers of Engineering Management, 10( 1): 67–81
|
149 |
Zio E, Marella M, Podofillini L, (2007). Importance measures-based prioritization for improving the performance of multi-state systems: application to the railway industry. Reliability Engineering & System Safety, 92( 10): 1303–1314
|
150 |
Zio E, Podofillini L, (2003). Monte Carlo simulation analysis of the effects of different system performance levels on the importance of multi-state components. Reliability Engineering & System Safety, 82( 1): 63–73
|
151 |
Zio E, Podofillini L, Levitin G, (2004). Estimation of the importance measures of multi-state elements by Monte Carlo simulation. Reliability Engineering & System Safety, 86( 3): 191–204
|
152 |
Zuo M, Kuo W, (1990). Design and performance analysis of consecutive-k-out-of-n structure. Naval Research Logistics, 37( 2): 203–230
|
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