Bivariate replacement policy for a system subject to shocks

被引:2
作者
Sheu, Shey-Huei [1 ,2 ,3 ,9 ]
Liu, Tzu-Hsin [4 ,10 ]
Sheu, Wei-Teng [5 ]
Ke, Jau-Chuan [6 ]
Zhang, Zhe-George [7 ,8 ]
机构
[1] Asia Univ, Dept Business Adm, Taichung, Taiwan
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Natl Taiwan Univ Sci & Technol, Dept Ind Management, Taipei, Taiwan
[4] Chaoyang Univ Technol, Dept Finance, Taichung, Taiwan
[5] Natl Taiwan Univ Sci & Technol, Dept Business Adm, Taipei, Taiwan
[6] Natl Taichung Univ Sci & Technol, Dept Appl Stat, Taichung, Taiwan
[7] Western Washington Univ, Dept Decis Sci, Bellingham, WA USA
[8] Simon Fraser Univ, Beedie Sch Business, Burnaby, BC, Canada
[9] Asia Univ, Dept Business Adm, Taichung 41354, Taiwan
[10] Chaoyang Univ Technol, Dept Finance, Taichung 413, Taiwan
来源
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT | 2024年 / 21卷 / 01期
关键词
Minimal repair; shock damage; replacement policy; optimization; CUMULATIVE DAMAGE; OPTIMAL NUMBER; MINIMAL REPAIRS; OPTIMIZATION; FAILURE;
D O I
10.1080/16843703.2023.2165287
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A bivariate replacement policy for a two-unit system under the shock-effect is studied. Unit 1 is subject to one of the two types of shocks. A type 1 shock causes a minor failure of unit 1, while a type 2 shock makes a catastrophic failure of unit 1. The probabilities of the shock types depend on the number of shocks since the last replacement. Each minor failure of unit 1 brings some cumulative damage to unit 2. When the cumulative damage of unit 2 reaches L, unit 2 fails, which simultaneously causes the failure of unit 1, resulting in a catastrophic failure of system. Moreover, unit 2 with cumula-tive damage x has a minor failure with probability omega eth x THORN at unit 1 failure instant, and this failure is removed by a minimal repair. A more general replacement policy is considered, in which the system is replaced when the cumulative damage to unit 2 has reached l (<= L), or the nth type 1 shock occurs, or when type 2 shock occurs or the accumulative damage to unit 2 exceeds L, whichever comes first. The expression for average cost rate is developed and the corresponding optimal policy is determined analytically and numerically.
引用
收藏
页码:54 / 71
页数:18
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