RESEARCH PAPER
A reliability model for load-sharing k-out-of-n systems subject to soft and hard failures with dependent workload and shock effects
1
School of Reliability and Systems Engineering Beihang University Beijing 100191, China
Publication date: 2020-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2020;22(2):253-264
KEYWORDS
reliability modelingload-sharing k-out-of-n systemsdependent workload and shock effectsdegradationrandom shocks
ABSTRACT
A component in a k-out-of-n system may experience soft and hard failures resulting from exposure to natural degradation and random shocks. Due to load-sharing characteristics, once a component fails, the surviving components share an increased workload,
which increases their own degradation rates. Moreover, under the larger workload, random shocks may cause larger abrupt degradation increments and larger shock sizes. Therefore, the system experiences the dependent workload and shock effects (DWSEs).
Such dependence will cause the load-sharing system to fail more easily, though it is often not considered in existing methods. In
this paper, to evaluate the system reliability more accurately, we develop a novel reliability model for load-sharing k-out-of-n
systems with DWSEs. In the model, the joint probability density function of shock effects to soft and hard failures is developed to
describe the DWSEs on a component. To derive an analytical expression of system reliability with load-sharing characteristics
and DWSEs, conditional probability density function is used to model the random component failure times. A load-sharing MicroElectro-Mechanical System (MEMS) is then utilized to illustrate the effectiveness of the reliability model
REFERENCES (41)
1.
Babishin V, Hajipour Y, Taghipour S. Optimisation of non-periodic inspection and maintenance for multicomponent systems. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2018; 20(2): 327-342, https://doi.org/10.17531/ein.2....
2.
Bocchetti D, Giorgio M, Guida M, Pulcini G. A competing risk model for the reliability of cylinder liners in marine Diesel engines. Reliability Engineering & System Safety 2009; 94(8):1299-1307, https://doi.org/10.1016/j.ress....
3.
Cha JH, Finkelstein M, Levitin G. Bivariate preventive maintenance of systems with lifetimes dependent on a random shock process. European Journal of Operational Research 2018; 266(1):122-134, https://doi.org/10.1016/j.ejor....
4.
Che H, Zeng S, Guo J. Reliability Analysis of Load-Sharing Systems Subject to Dependent Degradation Processes and Random Shocks. IEEE Access 2017; 5: 23395-23404, https://doi.org/10.1109/ACCESS....
5.
Che H, Zeng S, Guo J, Wang Y. Reliability modeling for dependent competing failure processes with mutually dependent degradation process and shock process. Reliability Engineering & System Safety 2018;180:168-178, https://doi.org/10.1016/j.ress....
6.
Griffith WS. Optimal Reliability Modeling: Principles and Applications. Technometrics 2004;46(1):112-112, https://doi.org/10.1198/tech.2....
7.
Guida M, Pulcini G. A continuous-state Markov model for age- and state-dependent degradation processes. Structural Safety 2011; 33(6):354-366, https://doi.org/10.1016/j.stru....
8.
Guo C, Wang W, Guo B, Peng R. Maintenance optimization for systems with dependent competing risks using a copula function. Eksploatacja i Niezawodnosc -Maintenance and Reliability 2013;15(1):9-17.
9.
He G, Geng Z. Dynamics and Robust Control of an Underactuated Torsional Vibratory Gyroscope Actuated by Electrostatic Actuator. IEEE/ASME Transactions on Mechatronics 2015;20(4):1725-1733, https://doi.org/10.1109/TMECH.....
10.
Hu Z, Du X. System reliability prediction with shared load and unknown component design details. Artificial Intelligence for Engineering Design Analysis & Manufacturing 2017;31(3):223-234, https://doi.org/10.1017/S08900....
11.
Jiakai C, Yan H, Wei W. Reliability analysis and optimization of equal load-sharing k-out-of-n phased-mission systems. Eksploatacja i Niezawodnosc -Maintenance and Reliability 2015;17(2):250-259, https://doi.org/10.17531/ein.2....
12.
Kong Y, Ye Z. Interval estimation for k-out-of-n load-sharing systems. IISE Transactions 2017;49(3):344-353, https://doi.org/10.1080/074081....
13.
Liu B, Xie M, Kuo W. Reliability modeling and preventive maintenance of load-sharing systems with degrading components. IIE Transactions 2016(8):699-709, https://doi.org/10.1080/074081....
14.
Liu B, Xie M, Xu Z, Kuo W. An imperfect maintenance policy for mission-oriented systems subject to degradation and external shocks. Computers & Industrial Engineering 2016;102:21-32, https://doi.org/10.1016/j.cie.....
15.
Liu H, Yeh R, Cai B. Reliability modeling for dependent competing failure processes of damage self-healing systems. Computers & Industrial Engineering 2017;105:55-62, https://doi.org/10.1016/j.cie.....
16.
Młynarski S, Pilch R, Smolnik M, Szybka J, Wiązania G. A Method for rapid evaluation of k-out-of-n systems reliability. Eksploatacja i Niezawodnosc -Maintenance and Reliability 2018;21(1):170-176, https://doi.org/10.17531/ein.2....
17.
Nelson W. Accelerated Testing: Statistical Models, Test Plans, and Data Analysis; 2008.
18.
Peng H, Feng Q, Coit DW. Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes. IIE Transactions 2010;43(1):12-22, https://doi.org/10.1080/074081....
19.
Rafiee K, Feng Q, Coit DW. Reliability modeling for dependent competing failure processes with changing degradation rate. IIE Transactions 2014;46(5):483-496, https://doi.org/10.1080/074081....
20.
Rothgang S, Baumhöfer T, Hoek HV, Lange T, Doncker RWD, Sauer DU. Modular battery design for reliable, flexible and multi-technology energy storage systems. Applied Energy 2015;137:931-937, https://doi.org/10.1016/j.apen....
21.
Ruiz-Castro JE. Markov counting and reward processes for analysing the performance of a complex system subject to random inspections. Reliability Engineering & System Safety 2016;145:155-168, https://doi.org/10.1016/j.ress....
22.
Song S, Coit DW, Feng Q, Peng H. Reliability Analysis for Multi-Component Systems Subject to Multiple Dependent Competing Failure Processes. IEEE Transactions on Reliability 2014;63(1):331-345, https://doi.org/10.1109/TR.201....
23.
Song S, Coit DW, Feng Q. Reliability analysis of multiple-component series systems subject to hard and soft failures with dependent shock effects. IIE Transactions 2016;48(8):720, https://doi.org/10.1080/074081....
24.
Suprasad AV, Krishna MB, Hoang P. Tampered Failure Rate Load-Sharing Systems: Status and Perspectives; 2008.
25.
Taghipour S, Kassaei ML. Periodic Inspection Optimization of a k-out-of-n Load-Sharing System. IEEE Transactions on Reliability 2015;64(3):1116-1127, https://doi.org/10.1109/TR.201....
26.
Tanner DM, Dugger MT. Wear mechanisms in a reliability methodology. In: Ramesham R. Proceedings of the society of photo-optical instrumentation engineers(SPIE) 2003: 22-40, https://doi.org/10.1117/12.476....
27.
Tanner DM, Miller WM, Peterson KA, et al. Frequency dependence of the lifetime of a surface micromachined microengine driving a load. Microelectronics Reliability 1999;39(3):401-414, https://doi.org/10.1016/S0026-....
28.
Tanner DM, Walraven JA, Helgesen K, et al. MEMS reliability in shock environments. IEEE 2000: 129-138.
29.
Walraven JA, Headley TJ, Campbell AB, Tanner DM. Failure analysis of worn surface-micromachined microengines. Proc SPIE 1999;3880:30-39, https://doi.org/10.1117/12.359....
30.
Wang Y, Guo L, Wen M, Yang Y. Availability analysis for a multi-component system with different k-out-of-n:G warm standby subsystems subject to suspended animation. Ekspolatacja i Niezawodnosc - Maintenance and Reliability 2019;21(2):289-300, https://doi.org/10.17531/ein.2....
31.
Wang Z, Huang H, Li Y, Xiao N. An Approach to Reliability Assessment Under Degradation and Shock Process. IEEE Transactions on Reliability 2011;60(4):852-863, https://doi.org/10.1109/TR.201....
32.
Yang C, Zeng S, Guo J. Reliability Analysis of Load-Sharing K-out-of-N System Considering Component Degradation. Mathematical Problems in Engineering 2015;2015:1-10, https://doi.org/10.1155/2015/7....
33.
Yang L, Zhao Y, Peng R, Ma X. Hybrid preventive maintenance of competing failures under random environment. Reliability Engineering & System Safety 2018;174:130-140, https://doi.org/10.1016/j.ress....
34.
Yang L, Ma X, Zhao Y. A condition-based maintenance model for a three-state system subject to degradation and environmental shocks. Computers & Industrial Engineering 2017;105:210-222, https://doi.org/10.1016/j.cie.....
35.
Yang L, Zhao Y, Ma X. Multi-level maintenance strategy of deteriorating systems subject to two-stage inspection. Computers & Industrial Engineering 2018;118:160-169, https://doi.org/10.1016/j.cie.....
36.
Ye ZS, Tang LC, Xu HY. A Distribution-Based Systems Reliability Model Under Extreme Shocks and Natural Degradation. IEEE Transactions on Reliability 2011;60(1):246-256, https://doi.org/10.1109/TR.201....
37.
Yu H, Eberhard P, Zhao Y, Wang H. Sharing behavior of load transmission on gear pair systems actuated by parallel arrangements of multiple pinions. Mechanism & Machine Theory 2013;65(65):58-70, https://doi.org/10.1016/j.mech....
38.
Zhang T, Zhang Y, Du X. Reliability analysis for k-out-of-n systems with shared load and dependent components. Structural and Multidisciplinary Optimization 2018;57(3):913-923, https://doi.org/10.1007/s00158....
39.
Zhang Y, Ma Y, Ouyang L, Liu L. A novel reliability model for multi-component systems subject to multiple dependent competing risks with degradation rate acceleration. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2018;20(4): 579-589, https://doi.org/10.17531/ein.2....
40.
Zhao X, Wu C, Wang S, Wang X. Reliability analysis of multi-state k-out-of-n: G system with common bus performance sharing. Computers & Industrial Engineering 2018;124:359-369, https://doi.org/10.1016/j.cie.....
41.
Tian Z, Zuo M, Yam RM. Multi-state k-out-of-n systems and their performance evaluation. IIE Transactions 2008;41(1):32-44, https://doi.org/10.1080/074081....
CITATIONS (10):
1.
Reliability and maintenance modeling for a load-sharing k-out-of-n system subject to hidden failures
Reza Ahmadi
Computers & Industrial Engineering
Reza Ahmadi
Computers & Industrial Engineering
2.
Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks
Haiyang Che, Shengkui Zeng, Kehui Li, Jianbin Guo
Reliability Engineering & System Safety
Haiyang Che, Shengkui Zeng, Kehui Li, Jianbin Guo
Reliability Engineering & System Safety
3.
Defensive strategy optimization of consecutive-k-out-of-n systems under deterministic external risks
Jiangbin Zhao, Zaoyan Zhang, Tianbo Xu, Xiangang Cao, Qiyu Wang, Zhiqiang Cai
Eksploatacja i Niezawodnosc - Maintenance and Reliability
Jiangbin Zhao, Zaoyan Zhang, Tianbo Xu, Xiangang Cao, Qiyu Wang, Zhiqiang Cai
Eksploatacja i Niezawodnosc - Maintenance and Reliability
4.
Reliability evaluation of a system with active redundancy strategy and load-sharing time-dependent failure rate components using Markov process
Mani Sharifi, Guilani Pourkarim, Arash Zaretalab, Abdolreza Abhari
Communications in Statistics - Theory and Methods
Mani Sharifi, Guilani Pourkarim, Arash Zaretalab, Abdolreza Abhari
Communications in Statistics - Theory and Methods
5.
Factors affecting institutional investors to add crypto-currency to asset portfolios
Wei Sun, Alisher Dedahanov, Ho Shin, Wei Li
The North American Journal of Economics and Finance
Wei Sun, Alisher Dedahanov, Ho Shin, Wei Li
The North American Journal of Economics and Finance
6.
Reliability modeling for dependent competing failure processes with phase-type distribution considering changing degradation rate
Hao Lyu, Shuai Wang, Xiaowen Zhang, Zaiyou Yang, Michael Pecht
Eksploatacja i Niezawodnosc - Maintenance and Reliability
Hao Lyu, Shuai Wang, Xiaowen Zhang, Zaiyou Yang, Michael Pecht
Eksploatacja i Niezawodnosc - Maintenance and Reliability
7.
Equivalent availability index for the performance measurement of haul truck fleets
Fredy Kristjanpoller, Pablo Viveros, Enrico Zio, Rodrigo Pascual, Oscar Aranda
Eksploatacja i Niezawodność – Maintenance and Reliability
Fredy Kristjanpoller, Pablo Viveros, Enrico Zio, Rodrigo Pascual, Oscar Aranda
Eksploatacja i Niezawodność – Maintenance and Reliability
8.
Reliability of performance-based system containing multiple load-sharing subsystems with protective devices considering protection randomness
Xian Zhao, Ziyue Li, Xiaoyue Wang, Bin Guo
Reliability Engineering & System Safety
Xian Zhao, Ziyue Li, Xiaoyue Wang, Bin Guo
Reliability Engineering & System Safety
9.
Performance of load sharing repairable k-out-of-N: G systems
Mohammed Hajeeh
Journal of Engineering Research
Mohammed Hajeeh
Journal of Engineering Research
10.
Reliability assessment of multi-state weighted k-out-of-n man-machine systems considering dependent machine deterioration and human fatigue
Haiyang Che, Shengkui Zeng, Yingzhi Zhao, Jianbin Guo
Reliability Engineering & System Safety
Haiyang Che, Shengkui Zeng, Yingzhi Zhao, Jianbin Guo
Reliability Engineering & System Safety
Share
RELATED ARTICLE
| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
