Reliability of a 2‐dimensional k‐within‐consecutive‐r × s‐out‐of‐m × n:F system

Tomoaki Akiba and Hisashi Yamamoto

Naval Research Logistics (NRL), 2001, vol. 48, issue 7, 625-637

Abstract: 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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:48:y:2001:i:7:p:625-637

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