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Efficient Algorithm for the Reliability of a 2Dimensional Cylindrical kwithinConsecutive(r, s)outof(m, n):F System
Hisashi YAMAMOTO Tomoaki AKIBA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E87A
No.5
pp.12511257 Publication Date: 2004/05/01 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: PAPER Category: Reliability, Maintainability and Safety Analysis Keyword: 2dimensional cylindrical kwithinconsecutive(r,s)outof(m,n):F system, system reliability, recursive algorithm,
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Summary:
A 2dimensional cylindrical kwithinconsecutive(r, s)outof(m, n):F system consists of m n components arranged on a cylindrical grid. Each of m circles has n components, and this system fails if and only if there exists a grid of size r s within which at least k components are failed. This system may be used into reliability models of "Feelers for measuring temperature on reaction chamber," "TFT Liquid Crystal Display system with 360 degree wide area" and others. In this paper, first, we propose an efficient algorithm for the reliability of a 2dimensional cylindrical kwithinconsecutive(r, s)outof(m, n):F system. The feature of this algorithm is calculating their system reliabilities with shorter computing time and smaller memory size than Akiba and Yamamoto. Next, we show some numerical examples so that our proposed algorithm is more effective than Akiba and Yamamoto for systems with large n.

