论文信息 - 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

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.

Tomoaki Akiba | Hisashi Yamamoto | T. Akiba | Hisashi Yamamoto

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