Reliability of a 2‐dimensional k‐within‐consecutive‐r × s‐out‐of‐m × n:F system
Reliability of a 2‐dimensional k‐within‐consecutive‐r × s‐out‐of‐m × n:F system
复制标题
二维 k 连续 r × s 出 m × n:F 系统的可靠性
DOI:
10.1002/nav.1038
复制
发表时间:
2001
期刊:
影响因子:
--
通讯作者:
Hisashi Yamamoto
中科院分区:
文献类型:
--
作者:
T. Akiba;Hisashi Yamamoto
A 2‐dimensional rectangular (cylindrical) k‐within‐consecutive‐r × s‐out‐of‐m × n:F system is the rectangular (cylindrical) m × n‐system if the system fails whenever k components in a r × s‐submatrix fail. This paper proposes a recursive algorithm for the reliability of the 2‐dimensional k‐within‐consecutive‐r × s‐out‐m × n:F system, in the rectangular case and the cylindrical case. This algorithm requires min (O(mkr(n−s)), O(nks(m−r))), and O(mkrn) computing time in the rectangular case and the cylindrical case, respectively. The proposed algorithm will be demonstrated and some numerical examples will be shown. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 625–637, 2001.