On allocating redundancies to k‐out‐of‐ n reliability systems |
| |
| Authors: | Yinping You Xiaohu Li |
| |
| Affiliation: | 1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;2. Department of Mathematics, University of New Orleans, New Orleans 70148, USA;3. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
| |
| Abstract: | For two components in series and one redundancy with their lifetimes following the proportional hazard models, we build the likelihood ratio order and the hazard rate order for lifetimes of the redundant systems. Also, for k ‐out‐of‐ n system with components’ lifetimes having the arrangement increasing joint density and the redundancies having identically distributed lifetimes, allocating more redundancies to weaker components is shown to help improve the system's reliability. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | arrangement increasing hazard rate order likelihood ratio order proportional hazard models |
|
|
