A note on the proof for the optimal consecutive-k-out-of-n: G line for n≤2k

被引：15

作者：

Cui, Lirong ^{[1
]}

Hawkes, Alan G. ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China

[2] Univ Coll Swansea, Sch Business & Econ, Swansea SA2 8PP, W Glam, Wales

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2008年 / 138卷 / 05期

基金：

中国国家自然科学基金;

关键词：

consecutive systems; invariant optimal assignment; reliability;

D O I：

10.1016/j.jspi.2007.07.003

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A proof on the optimal arrangement of a linear consecutive-k-out-of-n : G system, with n=2k, was given by Jalali et al. [2005. The optimal consecutive-k-out-of-n : G line for it n <= 2k. J. Statist. Plann. Inference 128, 281 - 287]. However, a corollary for the case n < 2k was still incomplete. In this note we point out what is missing from the proof of that corollary and present a new proof using a different approach. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1516 / 1520

页数：5

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