{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:58:24Z","timestamp":1780937904914,"version":"3.54.1"},"reference-count":50,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2023YFB3408504"],"award-info":[{"award-number":["2023YFB3408504"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013804","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100013804","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U22B2087"],"award-info":[{"award-number":["U22B2087"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U24B2060"],"award-info":[{"award-number":["U24B2060"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Reliability Engineering &amp; System Safety"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.ress.2026.112663","type":"journal-article","created":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T01:15:21Z","timestamp":1775438121000},"page":"112663","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P1","title":["Accelerated degradation modeling and reliability assessment method considering random effects and multi-stress time factors"],"prefix":"10.1016","volume":"275","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-1354-2548","authenticated-orcid":false,"given":"Ruiliang","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0367-5479","authenticated-orcid":false,"given":"Chuanhai","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shizhen","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tongtong","family":"Jin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhifeng","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kuo","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ress.2026.112663_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110458","article-title":"Enhancing safety and reliability in multistory construction: a multi-state system assessment of shoring\/reshoring operations using interval-valued belief functions","volume":"252","author":"Shehadeh","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112663_bib0002","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2022.105391","article-title":"Reliability assessment and prediction of rolling bearings based on hybrid noise reduction and BOA-MKRVM","volume":"116","author":"Gao","year":"2022","journal-title":"Eng Appl Artif Intell"},{"key":"10.1016\/j.ress.2026.112663_bib0003","article-title":"A reliability assessment method for rolling bearings under variable speed and variable load conditions","volume":"253","author":"Zhang","year":"2025","journal-title":"Measurement"},{"key":"10.1016\/j.ress.2026.112663_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109883","article-title":"A novel degradation model and reliability evaluation methodology based on two-phase feature extraction: an application to marine lubricating oil pump","volume":"243","author":"Chen","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112663_bib0005","article-title":"Optimal design of multivariate accelerated degradation test based on game theory","author":"Jin","year":"2025","journal-title":"Qual Technol Quant Manag"},{"key":"10.1016\/j.ress.2026.112663_bib0006","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110101","article-title":"Accelerated degradation testing for lifetime analysis considering random effects and the influence of stress and measurement errors","volume":"247","author":"Li","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"issue":"2","key":"10.1016\/j.ress.2026.112663_bib0007","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1109\/TR.2023.3328369","article-title":"Reliability assessment and remaining useful life prediction based on the inverse gaussian step-stress accelerated degradation data","volume":"73","author":"Jiang","year":"2024","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/j.ress.2026.112663_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110405","article-title":"Dynamic weight-based accelerated test modeling for fault degradation and lifetime analysis","volume":"252","author":"Lu","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112663_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2025.112409","article-title":"Continuous hierarchical symbolic deviation entropy: a more robust entropy and its application to rolling bearing fault diagnosis","volume":"227","author":"Zhou","year":"2025","journal-title":"Mech Syst Signal Process"},{"key":"10.1016\/j.ress.2026.112663_bib0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.eswa.2025.128484","article-title":"An interpretable multi-superlet kernel fusion convolutional neural network for rotating machinery fault diagnosis","volume":"290","author":"Huang","year":"2025","journal-title":"Expert Syst Appl"},{"issue":"3","key":"10.1016\/j.ress.2026.112663_bib0011","first-page":"496","article-title":"Multiple stresses optimization design of constant-stress accelerated degradation test based on Wiener process","volume":"239","author":"Li","year":"2025","journal-title":"Proc Inst Mech Eng O-J Risk Reliab"},{"key":"10.1016\/j.ress.2026.112663_bib0012","article-title":"Non-Arrhenius degradation model for stress relaxation in electromagnetic relay using accelerated degradation test","author":"Fu","year":"2024","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/j.ress.2026.112663_bib0013","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2021.108087","article-title":"Optimal design of step-stress accelerated degradation test oriented by nonlinear and distributed degradation process","volume":"217","author":"Zheng","year":"2022","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.112663_bib0014","article-title":"Optimal designs of multiple step-stress accelerated life tests for one-shot devices with Weibull lifetime distributions","author":"Ling","year":"2024","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/j.ress.2026.112663_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.110850","article-title":"A survey on few-shot learning for remaining useful life prediction","volume":"257","author":"Mo","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"issue":"11\u201312","key":"10.1016\/j.ress.2026.112663_bib0016","doi-asserted-by":"crossref","first-page":"4431","DOI":"10.1007\/s00170-022-10190-7","article-title":"Optimal design of ladder-stress accelerated degradation test plan for motorized spindle in non-cube test area","volume":"124","author":"Zhao","year":"2023","journal-title":"Int J Adv Manuf Technol"},{"key":"10.1016\/j.ress.2026.112663_bib0017","doi-asserted-by":"crossref","DOI":"10.1016\/j.measurement.2025.117079","article-title":"Reliability evaluation method based on the improved grey prediction model and multi-stress acceleration model","volume":"251","author":"Pan","year":"2025","journal-title":"Measurement"},{"issue":"10","key":"10.1016\/j.ress.2026.112663_bib0018","doi-asserted-by":"crossref","DOI":"10.3390\/fractalfract8100556","article-title":"Multivariate accelerated degradation modeling and reliability assessment for ball screw grease based on fractional Brownian motion process model","volume":"8","author":"Chen","year":"2024","journal-title":"Fractal Fract"},{"issue":"4","key":"10.1016\/j.ress.2026.112663_bib0019","doi-asserted-by":"crossref","first-page":"1427","DOI":"10.1177\/09544062241291793","article-title":"Degradation reliability modeling for ball screws subject to fatigue elastic failure mode","volume":"239","author":"Zhou","year":"2025","journal-title":"Proc Inst Mech Eng C-J Mech Eng Sci"},{"key":"10.1016\/j.ress.2026.112663_bib0020","article-title":"A Wiener-process-inspired semi-stochastic filtering approach for prognostics","volume":"249","author":"Si","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"issue":"4","key":"10.1016\/j.ress.2026.112663_bib0021","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1002\/qre.3296","article-title":"Remaining useful life evaluation for accelerated wiener degradation process model with mixed random effects and measurement errors","volume":"39","author":"Duan","year":"2023","journal-title":"Qual Reliab Eng Int"},{"key":"10.1016\/j.ress.2026.112663_bib0022","doi-asserted-by":"crossref","DOI":"10.1016\/j.apm.2024.115788","article-title":"Reliability modeling and statistical analysis of accelerated degradation process with memory effects and unit-to-unit variability","volume":"138","author":"Chen","year":"2025","journal-title":"Appl Math Model"},{"key":"10.1016\/j.ress.2026.112663_bib0023","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2020.107168","article-title":"Analysis of multivariate dependent accelerated degradation data using a random-effect general Wiener process and D-vine Copula","volume":"204","author":"Sun","year":"2020","journal-title":"Reliab Eng Syst Saf"},{"issue":"8","key":"10.1016\/j.ress.2026.112663_bib0024","doi-asserted-by":"crossref","first-page":"3203","DOI":"10.1002\/qre.3105","article-title":"Correlation-driven multivariate degradation modeling and RUL prediction based on Wiener process model","volume":"39","author":"Yan","year":"2023","journal-title":"Qual Reliab Eng Int"},{"key":"10.1016\/j.ress.2026.112663_bib0025","doi-asserted-by":"crossref","DOI":"10.1109\/TIM.2021.3091457","article-title":"An improved random effects wiener process accelerated degradation test model for lithium-ion battery","volume":"70","author":"Hou","year":"2021","journal-title":"IEEE Trans Instrum Meas"},{"key":"10.1016\/j.ress.2026.112663_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110651","article-title":"Multivariate degradation modeling using generalized Cauchy process and application in life prediction of dye-sensitized solar cells","volume":"255","author":"Asgari","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"10.1016\/j.ress.2026.112663_bib0027","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1016\/j.ejor.2018.02.033","article-title":"Degradation data analysis and remaining useful life estimation: a review on Wiener-process-based methods","volume":"271","author":"Zhang","year":"2018","journal-title":"Eur J Oper Res"},{"key":"10.1016\/j.ress.2026.112663_bib0028","article-title":"Modeling deterioration and predicting remaining useful life using stochastic differential equations","volume":"251","author":"Iannacone","year":"2024","journal-title":"Reliab Eng Syst Saf Artic"},{"issue":"6","key":"10.1016\/j.ress.2026.112663_bib0029","doi-asserted-by":"crossref","first-page":"1651","DOI":"10.1002\/asmb.2883","article-title":"Correlation analysis of degrading systems based on bivariate Wiener processes under imperfect maintenance","volume":"40","author":"Bautista","year":"2024","journal-title":"Appl Stoch Models Bus Ind Artic"},{"key":"10.1016\/j.ress.2026.112663_bib0030","doi-asserted-by":"crossref","first-page":"32511","DOI":"10.1109\/ACCESS.2025.3543391","article-title":"Inferences for Skew-Wiener degradation model: approximate Bayesian computation via Gibbs-step and model selection","volume":"13","author":"Muhammad","year":"2025","journal-title":"IEEE Access"},{"key":"10.1016\/j.ress.2026.112663_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110014","article-title":"A hybrid prognosis scheme for rolling bearings based on a novel health indicator and nonlinear Wiener process","volume":"245","author":"Guo","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"issue":"23","key":"10.1016\/j.ress.2026.112663_bib0032","doi-asserted-by":"crossref","first-page":"37525","DOI":"10.1109\/JIOT.2024.3437660","article-title":"A generalized testing model for interval lifetime analysis based on mixed wiener accelerated degradation process","volume":"11","author":"Li","year":"2024","journal-title":"IEEE Internet Things J"},{"key":"10.1016\/j.ress.2026.112663_bib0033","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2023.115483","article-title":"Non-destructive one-shot device test under step-stress experiment with lognormal lifetime distribution","volume":"437","author":"Balakrishnan","year":"2024","journal-title":"J Comput Appl Math"},{"issue":"4","key":"10.1016\/j.ress.2026.112663_bib0034","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1111\/rssc.12414","article-title":"Small sample corrections for Wald tests in latent variable models","volume":"69","author":"Ozenne","year":"2020","journal-title":"J R Stat Soc C-Appl Stat"},{"issue":"9","key":"10.1016\/j.ress.2026.112663_bib0035","doi-asserted-by":"crossref","DOI":"10.3390\/axioms11090462","article-title":"The use of a log-normal prior for the student t-distribution","volume":"11","author":"Lee","year":"2022","journal-title":"Axioms"},{"issue":"1","key":"10.1016\/j.ress.2026.112663_bib0036","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.neunet.2006.06.009","article-title":"Robust Bayesian clustering","volume":"20","author":"Archambeau","year":"2007","journal-title":"Neural Netw"},{"key":"10.1016\/j.ress.2026.112663_bib0037","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.dsp.2015.08.005","article-title":"Bayesian sparse solutions to linear inverse problems with non-stationary noise with student-t priors","volume":"47","author":"Mohammad-Djafari","year":"2015","journal-title":"Digit Signal Process"},{"issue":"8","key":"10.1016\/j.ress.2026.112663_bib0038","doi-asserted-by":"crossref","first-page":"9907","DOI":"10.1109\/TII.2024.3384611","article-title":"Novel outlier-robust accelerated degradation testing model and lifetime analysis method considering time-stress-dependent factors","volume":"20","author":"Li","year":"2024","journal-title":"IEEE Trans Ind Inform"},{"issue":"11","key":"10.1016\/j.ress.2026.112663_bib0039","doi-asserted-by":"crossref","first-page":"2803","DOI":"10.1109\/TIM.2017.2717278","article-title":"Robust degradation analysis with non-Gaussian measurement errors","volume":"66","author":"Zhai","year":"2017","journal-title":"IEEE Trans Instrum Meas"},{"issue":"1","key":"10.1016\/j.ress.2026.112663_bib0040","doi-asserted-by":"crossref","first-page":"2265","DOI":"10.1109\/TR.2024.3398652","article-title":"Multivariate t Degradation processes for dependent Multivariate degradation data","volume":"74","author":"Liu","year":"2025","journal-title":"IEEE Trans Reliab"},{"issue":"9","key":"10.1016\/j.ress.2026.112663_bib0041","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1080\/24725854.2024.2389538","article-title":"A multivariate student-t process model for dependent tail-weighted degradation data","volume":"57","author":"Xu","year":"2025","journal-title":"IISE Trans"},{"issue":"11","key":"10.1016\/j.ress.2026.112663_bib0042","doi-asserted-by":"crossref","first-page":"11390","DOI":"10.1109\/TIE.2020.3028806","article-title":"Robust estimation of wiener models in the presence of outliers using the VB approach","volume":"68","author":"Liu","year":"2021","journal-title":"IEEE Trans Ind Electron"},{"key":"10.1016\/j.ress.2026.112663_bib0043","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2024.111663","article-title":"GRU-AE-wiener: a generative adversarial network assisted hybrid gated recurrent unit with Wiener model for bearing remaining useful life estimation","volume":"220","author":"Wen","year":"2024","journal-title":"Mech Syst Signal Process"},{"issue":"1","key":"10.1016\/j.ress.2026.112663_bib0044","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1023\/A:1009664101413","article-title":"Modelling accelerated degradation data using wiener diffusion with a time scale transformation","volume":"3","author":"Whitmore","year":"1997","journal-title":"Lifetime Data Anal"},{"issue":"6","key":"10.1016\/j.ress.2026.112663_bib0045","doi-asserted-by":"crossref","first-page":"7742","DOI":"10.1109\/TII.2022.3224960","article-title":"A general degradation process of useful life analysis under unreliable signals for accelerated degradation testing","volume":"19","author":"Li","year":"2023","journal-title":"IEEE Trans Ind Inform"},{"issue":"1","key":"10.1016\/j.ress.2026.112663_bib0046","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1109\/TR.2011.2182221","article-title":"Remaining useful life estimation based on a nonlinear diffusion degradation process","volume":"61","author":"Si","year":"2012","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/j.ress.2026.112663_bib0047","doi-asserted-by":"crossref","DOI":"10.1016\/j.ymssp.2022.109747","article-title":"Research on a remaining useful life prediction method for degradation angle identification two-stage degradation process","volume":"184","author":"Wang","year":"2023","journal-title":"Mech Syst Signal Process"},{"key":"10.1016\/j.ress.2026.112663_bib0048","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109800","article-title":"Remaining useful life prediction using nonlinear multi-phase Wiener process and variational Bayesian approach","volume":"242","author":"Lin","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"issue":"5","key":"10.1016\/j.ress.2026.112663_bib0049","first-page":"955","article-title":"Reliability modeling and life estimation using an expectation maximization based wiener degradation model for momentum wheels","volume":"45","author":"Li","year":"2015","journal-title":"IEEE Trans Cybern"},{"key":"10.1016\/j.ress.2026.112663_bib0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.measurement.2019.107395","article-title":"Reliability prediction of rotary encoder based on multivariate accelerated degradation modeling","volume":"152","author":"Yang","year":"2020","journal-title":"Measurement"}],"container-title":["Reliability Engineering &amp; System Safety"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026004758?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026004758?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T16:03:11Z","timestamp":1780934591000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0951832026004758"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":50,"alternative-id":["S0951832026004758"],"URL":"https:\/\/doi.org\/10.1016\/j.ress.2026.112663","relation":{},"ISSN":["0951-8320"],"issn-type":[{"value":"0951-8320","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Accelerated degradation modeling and reliability assessment method considering random effects and multi-stress time factors","name":"articletitle","label":"Article Title"},{"value":"Reliability Engineering & System Safety","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ress.2026.112663","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"112663"}}