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Thus, a reliability model of a multi\u2010state repairable system operating in dynamic environment is developed by introducing the background of the marine power system in this paper. The novelty of the research lies in the modeling and computing methods are relatively innovative by employing the aggregated stochastic processes, Hadamard production and matrix\u2010analytic method. First, the working modes of the marine power system under several different kinds of conditions are introduced. Then, the evolution of both the system states and environment are described as discrete\u2010time Markov chains with multiple and different transition probability matrices. The failure probability and repair probability of components are also distinct in different environments. Furthermore, some performance indexes, especially the index relevant to the environment, are derived, respectively. Finally, the conclusion is obtained by a numerical example of the marine power system, which also illustrates the validity and applicability of the proposed model.<\/jats:p>","DOI":"10.1002\/qre.3577","type":"journal-article","created":{"date-parts":[[2024,5,11]],"date-time":"2024-05-11T15:49:55Z","timestamp":1715442595000},"page":"3422-3438","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["System reliability modeling and analysis for a marine power equipment operating in a discrete\u2010time dynamic environment"],"prefix":"10.1002","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7123-6860","authenticated-orcid":false,"given":"Yan","family":"Li","sequence":"first","affiliation":[{"name":"School of Sciences Hebei University of Science and Technology  Shijiazhuang China"}]},{"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Sciences Hebei University of Science 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