{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T17:02:58Z","timestamp":1761238978876,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,5,7]],"date-time":"2022-05-07T00:00:00Z","timestamp":1651881600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["10571057","2019J01821","JAS19346"],"award-info":[{"award-number":["10571057","2019J01821","JAS19346"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Fujian Province, China","award":["10571057","2019J01821","JAS19346"],"award-info":[{"award-number":["10571057","2019J01821","JAS19346"]}]},{"name":"Young Teacher Education Research Project of Fujian Province","award":["10571057","2019J01821","JAS19346"],"award-info":[{"award-number":["10571057","2019J01821","JAS19346"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we proposed an interval degradation model to improve the reliability of the classical single point degradation model. The interval degradation model is very flexible when model parameters follows different distributions. Twenty-five types of interval Gamma degradation models are considered and discussed under different conditions. The reliabilities of interval Gamma degradation models are obtained. The Monte Carlo method has been studied to compute the reliability and lifetime of interval Gamma degradation model. The numerical examples are conducted to compare the interval degradation model with the classical single point degradation model. Simulation results reveal that the performance of reliability and mean lifetime of interval Gamma degradation model are much better than those of the single Gamma degradation model. Finally, we applied our model to a real data example and demonstrated the effectiveness and feasibility of the interval Gamma degradation model.<\/jats:p>","DOI":"10.3390\/sym14050954","type":"journal-article","created":{"date-parts":[[2022,5,8]],"date-time":"2022-05-08T23:27:25Z","timestamp":1652052445000},"page":"954","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Interval Modeling for Gamma Process Degradation Model"],"prefix":"10.3390","volume":"14","author":[{"given":"Guihong","family":"Liu","sequence":"first","affiliation":[{"name":"Personnel Department, Sanming University, Sanming 365004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Guan","sequence":"additional","affiliation":[{"name":"Institute of Information Engineering, Sanming University, Sanming 365004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yincai","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Finance and Statistics, East China Normal University, Shanghai 200062, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunhuei","family":"Tzeng","sequence":"additional","affiliation":[{"name":"Institute of Information Engineering, Sanming University, Sanming 365004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1002\/asmb.2063","article-title":"Stochastic modelling and analysis of degradation for highly reliable products","volume":"31","author":"Ye","year":"2015","journal-title":"Appl. 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