Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system

The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical co...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on reliability 1991-08, Vol.40 (3), p.277-279
Main Authors: Papastavridis, S.G., Sfakianakis, M.E.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Inspection
Operational research and scientific management
Operational research. Management science
Position measurement
Radar detection
Reliability theory
Reliability theory. Replacement problems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3
cites cdi_FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3
container_end_page 279
container_issue 3
container_start_page 277
container_title IEEE transactions on reliability
container_volume 40
creator Papastavridis, S.G.
Sfakianakis, M.E.
description The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical components, under permutation of the components. Then they study (theorem 2) the importance of components in the i.i.d. case. Theorem 2 is readily derived from theorem 1. The main results are given in theorems 1 and 2, and proofs are given. The assumptions are: the system and each component are either good or failed: all binary component states are mutually statistically independent, and all n can be arranged in any linear order; and the system fails if and only if within r consecutive components, there are at least k failed ones.< >
doi_str_mv 10.1109/24.85439
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_25389190</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>85439</ieee_id><sourcerecordid>25389190</sourcerecordid><originalsourceid>FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3</originalsourceid><addsrcrecordid>eNo9kD1PwzAURS0EEqUgsbJ5QIjFxY7zYbOhigJSpS4wB8d5hkBiB9tB6r_HUNTp6b57dIeD0DmjC8aovMnyhShyLg_QjBWFIKzK2CGaUcoEkUUmj9FJCB8p5rkUM_S6GWM3qJ4o75V9gwFsxMq2uBtG56OyGrAzOL4D1i69bOoD7ixWKdsAeordN5BP4qZInCGeGO8GYm9XOGxDhOEUHRnVBzj7v3P0srp_Xj6S9ebhaXm3JppTHolpCqhMlbOmEq1spYZMAtdQKKZZTjWXImtAK14yQRvVlCVtK8l5yZVQvDV8jq52u6N3XxOEWA9d0ND3yoKbQp0VXEgmaQKvd6D2LgQPph59MuC3NaP1r8I6y-s_hQm9_N9UQaveJEO6C3u-SBYpKxN2scM6ANi3u4kf3755FQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>25389190</pqid></control><display><type>article</type><title>Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system</title><source>IEEE Xplore (Online service)</source><creator>Papastavridis, S.G. ; Sfakianakis, M.E.</creator><creatorcontrib>Papastavridis, S.G. ; Sfakianakis, M.E.</creatorcontrib><description>The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical components, under permutation of the components. Then they study (theorem 2) the importance of components in the i.i.d. case. Theorem 2 is readily derived from theorem 1. The main results are given in theorems 1 and 2, and proofs are given. The assumptions are: the system and each component are either good or failed: all binary component states are mutually statistically independent, and all n can be arranged in any linear order; and the system fails if and only if within r consecutive components, there are at least k failed ones.&lt; &gt;</description><identifier>ISSN: 0018-9529</identifier><identifier>EISSN: 1558-1721</identifier><identifier>DOI: 10.1109/24.85439</identifier><identifier>CODEN: IERQAD</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Exact sciences and technology ; Inspection ; Operational research and scientific management ; Operational research. Management science ; Position measurement ; Radar detection ; Reliability theory ; Reliability theory. Replacement problems</subject><ispartof>IEEE transactions on reliability, 1991-08, Vol.40 (3), p.277-279</ispartof><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3</citedby><cites>FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/85439$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=5001016$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Papastavridis, S.G.</creatorcontrib><creatorcontrib>Sfakianakis, M.E.</creatorcontrib><title>Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system</title><title>IEEE transactions on reliability</title><addtitle>TR</addtitle><description>The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical components, under permutation of the components. Then they study (theorem 2) the importance of components in the i.i.d. case. Theorem 2 is readily derived from theorem 1. The main results are given in theorems 1 and 2, and proofs are given. The assumptions are: the system and each component are either good or failed: all binary component states are mutually statistically independent, and all n can be arranged in any linear order; and the system fails if and only if within r consecutive components, there are at least k failed ones.&lt; &gt;</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Inspection</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><subject>Position measurement</subject><subject>Radar detection</subject><subject>Reliability theory</subject><subject>Reliability theory. Replacement problems</subject><issn>0018-9529</issn><issn>1558-1721</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNo9kD1PwzAURS0EEqUgsbJ5QIjFxY7zYbOhigJSpS4wB8d5hkBiB9tB6r_HUNTp6b57dIeD0DmjC8aovMnyhShyLg_QjBWFIKzK2CGaUcoEkUUmj9FJCB8p5rkUM_S6GWM3qJ4o75V9gwFsxMq2uBtG56OyGrAzOL4D1i69bOoD7ixWKdsAeordN5BP4qZInCGeGO8GYm9XOGxDhOEUHRnVBzj7v3P0srp_Xj6S9ebhaXm3JppTHolpCqhMlbOmEq1spYZMAtdQKKZZTjWXImtAK14yQRvVlCVtK8l5yZVQvDV8jq52u6N3XxOEWA9d0ND3yoKbQp0VXEgmaQKvd6D2LgQPph59MuC3NaP1r8I6y-s_hQm9_N9UQaveJEO6C3u-SBYpKxN2scM6ANi3u4kf3755FQ</recordid><startdate>19910801</startdate><enddate>19910801</enddate><creator>Papastavridis, S.G.</creator><creator>Sfakianakis, M.E.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19910801</creationdate><title>Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system</title><author>Papastavridis, S.G. ; Sfakianakis, M.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Inspection</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><topic>Position measurement</topic><topic>Radar detection</topic><topic>Reliability theory</topic><topic>Reliability theory. Replacement problems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Papastavridis, S.G.</creatorcontrib><creatorcontrib>Sfakianakis, M.E.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on reliability</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Papastavridis, S.G.</au><au>Sfakianakis, M.E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system</atitle><jtitle>IEEE transactions on reliability</jtitle><stitle>TR</stitle><date>1991-08-01</date><risdate>1991</risdate><volume>40</volume><issue>3</issue><spage>277</spage><epage>279</epage><pages>277-279</pages><issn>0018-9529</issn><eissn>1558-1721</eissn><coden>IERQAD</coden><abstract>The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical components, under permutation of the components. Then they study (theorem 2) the importance of components in the i.i.d. case. Theorem 2 is readily derived from theorem 1. The main results are given in theorems 1 and 2, and proofs are given. The assumptions are: the system and each component are either good or failed: all binary component states are mutually statistically independent, and all n can be arranged in any linear order; and the system fails if and only if within r consecutive components, there are at least k failed ones.&lt; &gt;</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/24.85439</doi><tpages>3</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0018-9529
ispartof IEEE transactions on reliability, 1991-08, Vol.40 (3), p.277-279
issn 0018-9529
1558-1721
language eng
recordid cdi_proquest_miscellaneous_25389190
source IEEE Xplore (Online service)
subjects Applied sciences
Exact sciences and technology
Inspection
Operational research and scientific management
Operational research. Management science
Position measurement
Radar detection
Reliability theory
Reliability theory. Replacement problems
title Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T05%3A21%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Optimal-arrangement%20and%20importance%20of%20the%20components%20in%20a%20consecutive-k-out-of-r-from-n:F%20system&rft.jtitle=IEEE%20transactions%20on%20reliability&rft.au=Papastavridis,%20S.G.&rft.date=1991-08-01&rft.volume=40&rft.issue=3&rft.spage=277&rft.epage=279&rft.pages=277-279&rft.issn=0018-9529&rft.eissn=1558-1721&rft.coden=IERQAD&rft_id=info:doi/10.1109/24.85439&rft_dat=%3Cproquest_cross%3E25389190%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c303t-fb5e7f741b78d9d9ce29e3ce5a1c140c3982beca36180bab660d793363a8a3df3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=25389190&rft_id=info:pmid/&rft_ieee_id=85439&rfr_iscdi=true