{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T21:48:59Z","timestamp":1782510539670,"version":"3.54.5"},"reference-count":35,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2027,1,1]],"date-time":"2027-01-01T00:00:00Z","timestamp":1798761600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"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\/501100012240","name":"Academic Excellence Foundation of BUAA for PHD Students","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012240","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","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":[[2027,1]]},"DOI":"10.1016\/j.ress.2026.113072","type":"journal-article","created":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T16:16:11Z","timestamp":1782231371000},"page":"113072","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P2","title":["A multi-objective optimization method for cloud data center resource management based on a repairable queueing system"],"prefix":"10.1016","volume":"277","author":[{"given":"Zhao","family":"Tao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Miao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenbin","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4046-2934","authenticated-orcid":false,"given":"Xiaoyang","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ress.2026.113072_bib0001","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1109\/TPDS.2012.203","article-title":"Optimal multiserver configuration for profit maximization in cloud computing","volume":"24","author":"Cao","year":"2012","journal-title":"IEEE Trans Parallel Distrib Syst"},{"key":"10.1016\/j.ress.2026.113072_bib0002","doi-asserted-by":"crossref","first-page":"1557","DOI":"10.1109\/TASE.2016.2582501","article-title":"QoS-driven power management of data centers via model predictive control","volume":"13","author":"Fang","year":"2016","journal-title":"IEEE Trans Autom Sci Eng"},{"key":"10.1016\/j.ress.2026.113072_bib0003","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.future.2022.06.004","article-title":"Performance analysis of an energy-saving strategy in cloud data centers based on a MMAP [K]\/M [K]\/N1+ N2 non-preemptive priority queue","volume":"136","author":"Bai","year":"2022","journal-title":"Future Gener Comput Syst"},{"key":"10.1016\/j.ress.2026.113072_bib0004","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1109\/COMST.2015.2481183","article-title":"Data center energy consumption modeling: a survey","volume":"18","author":"Dayarathna","year":"2015","journal-title":"IEEE Commun surv tutor"},{"key":"10.1016\/j.ress.2026.113072_bib0005","series-title":"2018 IEEE SmartWorld, ubiquitous intelligence & computing, advanced & trusted computing, scalable computing & communications, cloud & big data computing, internet of people and smart city innovation (SmartWorld\/SCALCOM\/UIC\/ATC\/CBDCom\/IOP\/SCI)","first-page":"1364","article-title":"Power curtailment in cloud environment utilising load balancing machine allocation","author":"Javadpour","year":"2018"},{"key":"10.1016\/j.ress.2026.113072_bib0006","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/j.comcom.2022.10.019","article-title":"An energy-optimized embedded load balancing using dvfs computing in cloud data centers","volume":"197","author":"Javadpour","year":"2023","journal-title":"Comput Commun"},{"key":"10.1016\/j.ress.2026.113072_bib0007","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1007\/s11227-011-0551-2","article-title":"Performance evaluation of cloud service considering fault recovery","volume":"65","author":"Yang","year":"2013","journal-title":"J Supercomput"},{"key":"10.1016\/j.ress.2026.113072_bib0008","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.microrel.2017.03.009","article-title":"Service reliability modeling and evaluation of active-active cloud data center based on the IT infrastructure","volume":"75","author":"Li","year":"2017","journal-title":"Microelectron Reliab"},{"key":"10.1016\/j.ress.2026.113072_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2020.107381","article-title":"A generalized petri net-based modeling framework for service reliability evaluation and management of cloud data centers","volume":"207","author":"Li","year":"2021","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0010","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1016\/j.isatra.2018.12.038","article-title":"Optimization based resource and cooling management for a high performance computing data center","volume":"90","author":"Fang","year":"2019","journal-title":"ISA Trans"},{"key":"10.1016\/j.ress.2026.113072_bib0011","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.32604\/iasc.2022.024052","article-title":"Multi-objective optimization of energy aware virtual machine placement in cloud data center","volume":"33","author":"Gomathi","year":"2022","journal-title":"Intell Autom Soft Co"},{"key":"10.1016\/j.ress.2026.113072_bib0012","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1007\/s00607-021-00915-z","article-title":"Multi-objective optimization for VM placement in homogeneous and heterogeneous cloud service provider data centers","volume":"103","author":"Regaieg","year":"2021","journal-title":"Computing"},{"key":"10.1016\/j.ress.2026.113072_bib0013","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2024.110671","article-title":"Multi-objective maintenance strategy for complex systems considering the maintenance uncertain impact by adaptive multi-strategy particle swarm optimization","volume":"256","author":"Zhang","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0014","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111042","article-title":"Multi-objective disintegration of multilayer networks","volume":"260","author":"Qi","year":"2025","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2023.109703","article-title":"Interval Pareto front-based multi-objective robust optimization for sensor placement in structural modal identification","volume":"242","author":"Yang","year":"2024","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2022.108970","article-title":"Performance indicator-based multi-objective reliability optimization for multi-type production systems with heterogeneous machines","volume":"230","author":"Hsieh","year":"2023","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0017","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1109\/TCC.2017.2760836","article-title":"Hierarchical stochastic models for performance, availability, and power consumption analysis of IaaS clouds","volume":"7","author":"Ataie","year":"2017","journal-title":"IEEE Trans Cloud Comput"},{"key":"10.1016\/j.ress.2026.113072_bib0018","doi-asserted-by":"crossref","first-page":"1558","DOI":"10.1109\/TMC.2019.2962488","article-title":"Performance modeling of softwarized network services based on queuing theory with experimental validation","volume":"20","author":"Prados-Garzon","year":"2019","journal-title":"IEEE Trans Mob Comput"},{"key":"10.1016\/j.ress.2026.113072_bib0019","first-page":"28","article-title":"Stochastic modeling and performance analysis of energy-aware cloud data center based on dynamic scalable stochastic petri net","volume":"39","author":"He","year":"2020","journal-title":"Comput Inf"},{"key":"10.1016\/j.ress.2026.113072_bib0020","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.1109\/ACCESS.2020.3047815","article-title":"Single server repairable queueing system with variable service rate and failure rate","volume":"9","author":"Lv","year":"2021","journal-title":"IEEE Access"},{"key":"10.1016\/j.ress.2026.113072_bib0021","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2019.106643","article-title":"Formal models for safety and performance analysis of a data center system","volume":"193","author":"Bennaceur","year":"2020","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0022","series-title":"2022 IEEE\/IAS industrial and commercial power system asia (I&CPS Asia)","first-page":"1620","article-title":"Power supply Cloudsim: An extension of CloudSim for modeling and simulation of power supply devices in cloud data centers","author":"Ye","year":"2022"},{"key":"10.1016\/j.ress.2026.113072_bib0023","article-title":"Integrating OpenAI Gym and CloudSim plus: A simulation environment for DRL agent training in energy-driven cloud scaling","volume":"130","author":"Jawaddi","year":"2024","journal-title":"Simul Model Pr Theory"},{"key":"10.1016\/j.ress.2026.113072_bib0024","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1002\/spe.3413","article-title":"Cloudsim 7g: An integrated toolkit for modeling and simulation of future generation cloud computing environments","volume":"55","author":"Andreoli","year":"2025","journal-title":"Softw Pr Exp"},{"key":"10.1016\/j.ress.2026.113072_bib0025","doi-asserted-by":"crossref","first-page":"88","DOI":"10.3390\/fi15030088","article-title":"Machine learning for data center optimizations: Feature selection using Shapley Additive exPlanation (SHAP)","volume":"15","author":"Gebreyesus","year":"2023","journal-title":"Future Internet"},{"key":"10.1016\/j.ress.2026.113072_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.apenergy.2025.125734","article-title":"Reinforcement learning for data center energy efficiency optimization: A systematic literature review and research roadmap","volume":"389","author":"Kahil","year":"2025","journal-title":"Appl Energy"},{"key":"10.1016\/j.ress.2026.113072_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2026.112484","article-title":"Service reliability of intelligent computing cluster systems for large language models","volume":"272","author":"Zhang","year":"2026","journal-title":"Reliab Eng Syst Saf"},{"key":"10.1016\/j.ress.2026.113072_bib0028","series-title":"Matrix-geometric solutions in stochastic models: An algorithmic approach","author":"Neuts","year":"1994"},{"key":"10.1016\/j.ress.2026.113072_bib0029","series-title":"Fundamentals of queueing theory","author":"Gross","year":"2008"},{"key":"10.1016\/j.ress.2026.113072_bib0030","series-title":"A total cost of ownership model for cloud computing infrastructure","author":"Heinrich","year":"2023"},{"key":"10.1016\/j.ress.2026.113072_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.future.2024.107702","article-title":"Radice: a risk analysis framework for data centers","volume":"166","author":"Mastenbroek","year":"2025","journal-title":"Future Gener Comput Syst"},{"key":"10.1016\/j.ress.2026.113072_bib0032","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","article-title":"A fast and elitist multiobjective genetic algorithm: NSGA-II","volume":"6","author":"Deb","year":"2002","journal-title":"IEEE Trans Evol Comput"},{"key":"10.1016\/j.ress.2026.113072_bib0033","first-page":"429","article-title":"Measuring the efficiency of decision making unit","author":"CHRMES","year":"1978","journal-title":"Eur J Oper Res"},{"key":"10.1016\/j.ress.2026.113072_bib0034","doi-asserted-by":"crossref","first-page":"13051","DOI":"10.1016\/j.eswa.2012.05.056","article-title":"A state-of the-art survey of TOPSIS applications","volume":"39","author":"Behzadian","year":"2012","journal-title":"Expert Syst Appl"},{"key":"10.1016\/j.ress.2026.113072_bib0035","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1145\/1530873.1530881","article-title":"Pipe2: A tool for the performance evaluation of generalised stochastic Petri nets","volume":"36","author":"Dingle","year":"2009","journal-title":"ACM SIGMETRICS Perform Eval Rev"}],"container-title":["Reliability Engineering &amp; System Safety"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026008811?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832026008811?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T21:26:38Z","timestamp":1782509198000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0951832026008811"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2027,1]]},"references-count":35,"alternative-id":["S0951832026008811"],"URL":"https:\/\/doi.org\/10.1016\/j.ress.2026.113072","relation":{},"ISSN":["0951-8320"],"issn-type":[{"value":"0951-8320","type":"print"}],"subject":[],"published":{"date-parts":[[2027,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A multi-objective optimization method for cloud data center resource management based on a repairable queueing system","name":"articletitle","label":"Article Title"},{"value":"Reliability Engineering & System Safety","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ress.2026.113072","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":"113072"}}