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Some characterizations of the GDMTFR order are given. The implication relationships between the DMTFR and the GDMTFR orders are considered. Also, closure and reversed closure properties of the new order GDMTFR are investigated. Meanwhile, several illustrative examples that meet the GDMTFR order are shown as well.<\/jats:p>","DOI":"10.1155\/2021\/7508812","type":"journal-article","created":{"date-parts":[[2021,11,16]],"date-time":"2021-11-16T02:35:05Z","timestamp":1637030105000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Generalized Decreasing Mean Time to Failure or Replaced Ordering"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2534-6756","authenticated-orcid":false,"given":"Haiyan","family":"Wang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1778-3489","authenticated-orcid":false,"given":"Diantong","family":"Kang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8408-5475","authenticated-orcid":false,"given":"Lei","family":"Yan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,11,15]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"1","article-title":"A case study on risk management in existing construction project in Bangladesh","volume":"5","author":"Ma S.","year":"2018","journal-title":"Journal of Logistics, Informatics and Service Science"},{"key":"e_1_2_9_2_2","first-page":"17","article-title":"Engineering properties and cost comparison among sylhet sand, khustia sand and local sand in the context of foundation","volume":"5","author":"Kabir H.","year":"2018","journal-title":"Journal of Logistics, Informatics and Service Science"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1032192565"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-7152(99)00048-6"},{"volume-title":"Comparison Methods for Stochastic Models and Risks","year":"2002","author":"M\u00fcller A.","key":"e_1_2_9_5_2"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf02762035"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1137\/1037117"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-34675-5"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2008.10.002"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2012.09.016"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2014.12.003"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2016.06.001"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2016.04.003"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2016.01.008"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jkss.2014.08.003"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.14743\/apem2020.1.348"},{"key":"e_1_2_9_17_2","first-page":"558","article-title":"Multi-objective robust design of new rotate barrel based on satisfaction function","volume":"27","author":"Sun H.","year":"2020","journal-title":"Tehni\u010dki Vjesnik"},{"volume-title":"Statistical Theory of Reliability and Life Testing","year":"1981","author":"Barlow R. 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