{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,21]],"date-time":"2026-03-21T21:34:21Z","timestamp":1774128861512,"version":"3.50.1"},"reference-count":27,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T00:00:00Z","timestamp":1556755200000},"content-version":"vor","delay-in-days":121,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61672004"],"award-info":[{"award-number":["61672004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>This paper concentrates on the component importance measure of a network whose arc failure rates are not deterministic and imprecise ones. Conventionally, a computing method of component importance and a measure method of reliability stability are proposed. Three metrics are analyzed first: Birnbaum measurement, component importance, and component risk growth factor. Based on them, the latter can measure the impact of the component importance on the reliability stability of a system. Examples in some typical structures illustrate how to calculate component importance and reliability stability, including uncertain random series, parallel, parallel\u2010series, series\u2010parallel, and bridge systems. The comprehensive numerical experiments demonstrate that both of these methods can efficiently and accurately evaluate the impact of an arc failure on the reliability of a network system.<\/jats:p>","DOI":"10.1155\/2019\/3971597","type":"journal-article","created":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T23:34:28Z","timestamp":1556840068000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Measuring Component Importance for Network System Using Cellular Automata"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4303-5281","authenticated-orcid":false,"given":"Li","family":"He","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6564-0055","authenticated-orcid":false,"given":"Qiyan","family":"Cao","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6730-1199","authenticated-orcid":false,"given":"Fengjun","family":"Shang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,5,2]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0927-0507(05)80128-8"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.01.102"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.comnet.2015.11.025"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198533863.001.0001"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2015.05.019"},{"key":"e_1_2_10_6_2","volume-title":"The Combinatorics of Network Reliability","author":"Colbourn C. 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