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Lyu H, Ma L, Wang S, Yang Z, Qu H. Reliability modeling for dependent competing failure processes based on planar mechanism. COMMUN STAT-SIMUL C 2023. [DOI: 10.1080/03610918.2023.2170411] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Hao Lyu
- School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
| | - Li Ma
- School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
| | - Shuai Wang
- School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
| | - Zaiyou Yang
- School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
| | - Hongchen Qu
- School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
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Wen Y, Liu B, Zhang Z, Shi H, Kang S. Modeling and analysis for a repairable system with multi-state components under K-mixed redundancy strategy. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2022.2158346] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Affiliation(s)
- Yanqing Wen
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Baoliang Liu
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Zhiqiang Zhang
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Haiyan Shi
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Shugui Kang
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
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3
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Reliability Evaluation and Optimization of a System with Mixed Run Shock. AXIOMS 2022. [DOI: 10.3390/axioms11080366] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/10/2022]
Abstract
In this paper, we investigate a wear and mixed shock model in which the system can fail due to internal aging or external shocks. The lifetime of the system, due to internal wear, follows continuous phase-type (PH) distributions. The external random shocks arrive at the system according to a PH renewal process. The system will fail when the internal failure occurs or k1 consecutive external shocks, the size of at least d1 or k2 consecutive external shocks the size of at least d2 occur, where d1<d2, k1>k2. The failed system can be repaired immediately, and the repair times of the system are governed by continuous PH distributions. The system can be replaced by a new and identical one based on a bivariate replacement policy (L,N). The long-run average profit rate for the system is obtained by employing the closure property of the PH distribution. Finally, a numerical example is also given to determine the optimal replacement policy.
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Wen Y, Liu B, Zhang Z, Kang S, Qiu Q, Shi H. Reliability analysis for uncertain competing failure degradation system with a change point. COMMUN STAT-THEOR M 2021. [DOI: 10.1080/03610926.2021.1954196] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Yanqing Wen
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Baoliang Liu
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Zhiqiang Zhang
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Shugui Kang
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Qingan Qiu
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
| | - Haiyan Shi
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
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Kus C, Tuncel A, Eryilmaz S. Assessment of Shock Models for a Particular Class of Intershock Time Distributions. Methodol Comput Appl Probab 2021. [DOI: 10.1007/s11009-021-09847-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Liu B, Wen Y, Kang S, Qiu Q. A multiple warm standby repairable system under N-policy with multiple vacations following Markovian arrival process. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2019.1710758] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Baoliang Liu
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Yanqing Wen
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Shugui Kang
- College of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi, China
| | - Qingan Qiu
- School of Management & Economics, Beijing Institute of Technology, Beijing, China
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Affiliation(s)
- Altan Tuncel
- Department of Actuarial Sciences, Kirikkale University, Kirikkale, Turkey
| | - Serkan Eryilmaz
- Department of Industrial Engineering, Atilim University, Incek, Ankara, Turkey
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