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To analyze the effect of component failure, sensitivity of the system with respect to reliability parameters is analyzed. In this study, generally distributed and exponentially distributed repair rates are taken into consideration from failed state to the working state of the system. The mathematical model of the designed structure is developed using Markov process and supplementary variable technique. The comparative study of the system availability and its sensitivity with respect to general distribution and general as well as exponential distribution has been examined. The Gumbel\u2013Hougaard family of copula is used to analyze the effect of both the distributions together. For a better explanation of this work, a numerical example has been provided and shown the results graphically.<\/jats:p>","DOI":"10.1051\/ro\/2023068","type":"journal-article","created":{"date-parts":[[2023,5,25]],"date-time":"2023-05-25T14:22:22Z","timestamp":1685024542000},"page":"2131-2149","source":"Crossref","is-referenced-by-count":0,"title":["Analysis of series\u2013parallel system\u2019s sensitivity in context of components failures"],"prefix":"10.1051","volume":"57","author":[{"family":"Shivani","sequence":"first","affiliation":[]},{"given":"Mangey","family":"Ram","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7468-3508","authenticated-orcid":false,"given":"Nupur","family":"Goyal","sequence":"additional","affiliation":[]},{"given":"Akshay","family":"Kumar","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2023,8,8]]},"reference":[{"key":"R1","first-page":"81","volume":"14","author":"Bisht","year":"2021","journal-title":"J. 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