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Fault\u2010tolerant technology often plays a very important role in improving the reliability of an MSS. However, the existence of imperfect coverage failure (ICF) in a work\u2010sharing group (WSG) decreases the reliability of MSS. A method is proposed to assess the reliability and sensitivity of an MSS with ICF. The components in a WSG can cooperate so as to improve overall efficiency by increasing performance levels. Using the technique of the universal generating function (UGF), a component\u2019s UGF expression with ICF can be incorporated in two steps. During the computation of the system\u2019s UGF, an algorithm based on matrix (ABM) is developed to reduce the computational complexity. Consequently, indices of reliability can be easily calculated based on the UGF expression of an MSS. Sensitivity analysis can help engineers judge which WSG should be eliminated first under various resource limitations. Examples illustrate and validate this method.<\/jats:p>","DOI":"10.1155\/2021\/5560555","type":"journal-article","created":{"date-parts":[[2021,6,14]],"date-time":"2021-06-14T20:20:09Z","timestamp":1623702009000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["An Efficient Universal Generating Function\u2010Based Analyzing Approach for Multistate System with Imperfect Coverage Failure"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5772-0189","authenticated-orcid":false,"given":"Zheng","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4846-9540","authenticated-orcid":false,"given":"Jinlei","family":"Qin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,14]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/t-c.1971.223132"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/24.31102"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/t-c.1973.223703"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84800-131-2_22"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/24.799898"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2004.837703"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/24.799899"},{"key":"e_1_2_9_8_2","first-page":"441","article-title":"Reliability analysis of fault tolerant systems with multi-fault coverage","volume":"3","author":"Amari G. 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