Stochastic comparisons of relevation allocation policies in coherent systems

Zhang, Jiandong1; Zhang, Yiying2

2023-03-01

10.1007/s11749-023-00855-0

TEST   影响因子和分区

1133-0686

1863-8260

In reliability engineering, the relevation model can be adopted to characterize the performance of redundancy allocation for coherent systems. In this paper, we investigate the allocation problems of relevations for two nodes in a coherent system with independent components for enhancing system reliability. We first investigate the optimal allocation policy of two relevations for two nodes of the system under certain conditions. As a special setting of the relevation, we further discuss optimal allocation strategies for a batch of minimal repairs allocated to two components of the coherent system by applying the useful tool of majorization order. Sufficient conditions are established in terms of structural relationships between the components induced by minimal cut or path sets and the reliabilities of components and relevations. Some numerical examples are provided as illustrations. A real application in aircraft indicator lights systems is also presented to show the availability of our results.

Relevation Minimal repair Coherent system Path cut sets Stochastic orders

SCI

英语

通讯

National Natural Science Foundation of China[12101336] ; GuangDong Basic and Applied Basic Research Foundation[2023A1515011806] ; Doctoral Research Fund of Northwest Normal University[6014/202203101204]

Mathematics

Statistics & Probability

WOS:000949387000001

SPRINGER

MATHEMATICS

Web of Science

1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

Zhang, Jiandong,Zhang, Yiying. Stochastic comparisons of relevation allocation policies in coherent systems[J]. TEST,2023,32(3).

Zhang, Jiandong,&Zhang, Yiying.(2023).Stochastic comparisons of relevation allocation policies in coherent systems.TEST,32(3).

Zhang, Jiandong,et al."Stochastic comparisons of relevation allocation policies in coherent systems".TEST 32.3(2023).