{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T12:56:02Z","timestamp":1777640162745,"version":"3.51.4"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,9,18]],"date-time":"2025-09-18T00:00:00Z","timestamp":1758153600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,18]],"date-time":"2025-09-18T00:00:00Z","timestamp":1758153600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100004055","name":"King Fahd University of Petroleum and Minerals","doi-asserted-by":"publisher","award":["INMR2301"],"award-info":[{"award-number":["INMR2301"]}],"id":[{"id":"10.13039\/501100004055","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Oper Res Int J"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s12351-025-00976-4","type":"journal-article","created":{"date-parts":[[2025,9,18]],"date-time":"2025-09-18T12:14:50Z","timestamp":1758197690000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Optimized task assignment and predictive maintenance for industrial machines using Markov decision process"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7789-428X","authenticated-orcid":false,"given":"Ali","family":"Nasir","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samir","family":"Mekid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zaid","family":"Sawlan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Omar","family":"Alsawafy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,9,18]]},"reference":[{"key":"976_CR1","doi-asserted-by":"publisher","first-page":"3217","DOI":"10.1007\/s00170-018-2420-0","volume":"98","author":"F Aghazadeh","year":"2018","unstructured":"Aghazadeh F, Tahan A, Thomas M (2018) Tool condition monitoring using spectral subtraction and convolutional neural networks in milling process. Int J Adv Manuf Technol 98:3217\u20133227","journal-title":"Int J Adv Manuf Technol"},{"key":"976_CR2","unstructured":"Agogino A, Goebel K (2007) Mill Data Set\u201d, BEST lab, UC Berkeley. NASA Ames Prognostics Data Repository, [https:\/\/data.nasa.gov\/Raw-Data\/Milling-Wear\/vjv9-9f3x], NASA Ames, Moffett Field, CA."},{"issue":"1","key":"976_CR3","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/j.cie.2012.02.002","volume":"63","author":"R Ahmad","year":"2012","unstructured":"Ahmad R, Kamaruddin S (2012) An overview of time-based and condition-based maintenance in industrial application. Comput Ind Eng 63(1):135\u2013149","journal-title":"Comput Ind Eng"},{"key":"976_CR4","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.ress.2016.08.009","volume":"157","author":"S Alaswad","year":"2017","unstructured":"Alaswad S, Xiang Y (2017) A review on condition-based maintenance optimization models for stochastically deteriorating system. Reliab Eng Syst Saf 157:54\u201363","journal-title":"Reliab Eng Syst Saf"},{"issue":"2","key":"976_CR5","doi-asserted-by":"publisher","first-page":"688","DOI":"10.3390\/app12020688","volume":"12","author":"A Ali","year":"2022","unstructured":"Ali A, Abdelhadi A (2022) Condition-based monitoring and maintenance: state of the art review. Appl Sci 12(2):688","journal-title":"Appl Sci"},{"key":"976_CR6","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/s10951-014-0377-x","volume":"18","author":"J Blazewicz","year":"2015","unstructured":"Blazewicz J, Pesch E, Trystram D, Zhang G (2015) New perspectives in scheduling theory. J Sched 18:333\u2013334","journal-title":"J Sched"},{"issue":"6","key":"976_CR7","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1007\/s10951-023-00797-3","volume":"26","author":"J Blazewicz","year":"2023","unstructured":"Blazewicz J, Moseley B, Pesch E, Trystram D, Zhang G (2023) Mathematical challenges in scheduling theory. J Sched 26(6):519\u2013521","journal-title":"J Sched"},{"key":"976_CR8","doi-asserted-by":"publisher","first-page":"1497","DOI":"10.1007\/s10845-019-01526-4","volume":"31","author":"W Cai","year":"2020","unstructured":"Cai W, Zhang W, Hu X, Liu Y (2020) A hybrid information model based on long short-term memory network for tool condition monitoring. J Intell Manuf 31:1497\u20131510","journal-title":"J Intell Manuf"},{"issue":"3","key":"976_CR9","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1016\/j.cja.2018.08.015","volume":"32","author":"TANG Diyin","year":"2019","unstructured":"Diyin TANG, Jinrong CAO, Jinsong YU (2019) Remaining useful life prediction for engineering systems under dynamic operational conditions: A semi-Markov decision process-based approach. Chin J Aeronaut 32(3):627\u2013638","journal-title":"Chin J Aeronaut"},{"key":"976_CR10","doi-asserted-by":"crossref","unstructured":"Eker OF, Faith C, Ian KJ (2012) Major challenges in prognostics: Study on benchmarking prognostics datasets.\u201d PHM Society European Conference. Vol. 1. No. 1.","DOI":"10.36001\/phme.2012.v1i1.1409"},{"issue":"15","key":"976_CR11","doi-asserted-by":"publisher","first-page":"e4938","DOI":"10.1002\/dac.4938","volume":"34","author":"R Gillani","year":"2021","unstructured":"Gillani R, Nasir A (2021) Computational complexity reduction algorithms for Markov decision process based vertical handoff in mobile networks. Int J Commun Syst 34(15):e4938","journal-title":"Int J Commun Syst"},{"key":"976_CR12","volume-title":"Management of uncertainty in sensor validation, sensor fusion, and diagnosis of mechanical systems using soft computing techniques","author":"KF Goebel","year":"1996","unstructured":"Goebel KF (1996) Management of uncertainty in sensor validation, sensor fusion, and diagnosis of mechanical systems using soft computing techniques. University of California, Berkeley"},{"issue":"4","key":"976_CR13","doi-asserted-by":"publisher","first-page":"2531","DOI":"10.1109\/TCYB.2021.3124838","volume":"53","author":"K Hu","year":"2021","unstructured":"Hu K, Cheng Y, Wu J, Zhu H, Shao X (2021) Deep bidirectional recurrent neural networks ensemble for remaining useful life prediction of aircraft engine. IEEE Trans Cybern 53(4):2531\u20132543","journal-title":"IEEE Trans Cybern"},{"issue":"3","key":"976_CR14","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/s42524-020-0121-5","volume":"7","author":"Y Li","year":"2020","unstructured":"Li Y, Peng S, Li Y, Jiang W (2020) A review of condition-based maintenance: its prognostic and operational aspects. Front Eng Manag 7(3):323\u2013334","journal-title":"Front Eng Manag"},{"issue":"1","key":"976_CR15","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1016\/j.eswa.2009.05.004","volume":"37","author":"L Liao","year":"2010","unstructured":"Liao L, Lee J (2010) Design of a reconfigurable prognostics platform for machine tools. Expert Syst Appl 37(1):240\u2013252","journal-title":"Expert Syst Appl"},{"key":"976_CR16","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1016\/j.neucom.2020.06.116","volume":"417","author":"C Liu","year":"2020","unstructured":"Liu C, Zhang L, Niu J, Yao R, Wu C (2020) Intelligent prognostics of machining tools based on adaptive variational mode decomposition and deep learning method with attention mechanism. Neurocomputing 417:239\u2013254","journal-title":"Neurocomputing"},{"key":"976_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2023.109433","author":"Q Liu","year":"2023","unstructured":"Liu Q, Liu W, Dong M, Li Z, Zheng Y (2023) Residual useful life prognosis of equipment based on modified hidden semi-Markov model with a co-evolutional optimization method. Comput Ind Eng. https:\/\/doi.org\/10.1016\/j.cie.2023.109433","journal-title":"Comput Ind Eng"},{"key":"976_CR18","doi-asserted-by":"publisher","first-page":"108568","DOI":"10.1016\/j.ress.2022.108568","volume":"225","author":"J Long","year":"2022","unstructured":"Long J, Chen C, Liu Z, Guo J, Chen W (2022) Stochastic hybrid system approach to task-orientated remaining useful life prediction under time-varying operating conditions. Reliab Eng Syst Saf 225:108568","journal-title":"Reliab Eng Syst Saf"},{"key":"976_CR19","volume-title":"Functional Reverse Engineering of Machine Tools","author":"A Nasir","year":"2019","unstructured":"Nasir A (2019) Modular Approach of Writing MATLAB Code for a Markov Decision Process. In: Khalid R, Ghulam H, Wasim AK, Cedric AE, Ghulam A (eds) Functional Reverse Engineering of Machine Tools. CRC Press, DSedse"},{"issue":"3","key":"976_CR20","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1109\/TSMC.2017.2767077","volume":"50","author":"A Nasir","year":"2017","unstructured":"Nasir A, Atkins EM, Kolmanovsky I (2017) Robust science-optimal spacecraft control for circular orbit missions. IEEE Trans Syst Man Cybern Syst 50(3):923\u2013934","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"issue":"2","key":"976_CR21","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1016\/j.ifacol.2022.04.251","volume":"55","author":"N Nebelung","year":"2022","unstructured":"Nebelung N et al (2022) Towards real-time machining tool failure forecast approach for smart manufacturing systems. IFAC-PapersOnLine 55(2):548\u2013553","journal-title":"IFAC-PapersOnLine"},{"key":"976_CR22","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.cirpj.2022.11.004","volume":"40","author":"P Nunes","year":"2023","unstructured":"Nunes P, Santos J, Rocha E (2023) Challenges in predictive maintenance\u2013a review. CIRP J Manuf Sci Technol 40:53\u201367","journal-title":"CIRP J Manuf Sci Technol"},{"key":"976_CR23","doi-asserted-by":"publisher","DOI":"10.1002\/9780470182963","volume-title":"Approximate Dynamic Programming: Solving the curses of dimensionality","author":"WB Powell","year":"2007","unstructured":"Powell WB (2007) Approximate Dynamic Programming: Solving the curses of dimensionality. John Wiley & Sons"},{"issue":"4","key":"976_CR24","doi-asserted-by":"publisher","first-page":"384","DOI":"10.1108\/13552511211281552","volume":"18","author":"A Prajapati","year":"2012","unstructured":"Prajapati A, Bechtel J, Ganesan S (2012) Condition based maintenance: a survey. J Qual Maint Eng 18(4):384\u2013400","journal-title":"J Qual Maint Eng"},{"key":"976_CR25","volume-title":"Markov decision processes: discrete stochastic dynamic programming","author":"ML Puterman","year":"2014","unstructured":"Puterman ML (2014) Markov decision processes: discrete stochastic dynamic programming. John Wiley & Sons"},{"issue":"2","key":"976_CR26","doi-asserted-by":"publisher","first-page":"31","DOI":"10.3390\/machines8020031","volume":"8","author":"E Quatrini","year":"2020","unstructured":"Quatrini E, Costantino F, Gravio GD, Patriarca R (2020) Condition-based maintenance\u2014an extensive literature review. Machines 8(2):31","journal-title":"Machines"},{"issue":"2","key":"976_CR27","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/s10951-022-00755-5","volume":"26","author":"T Schettini","year":"2023","unstructured":"Schettini T, Malucelli F, Ramalhinho H (2023) Scheduling a pick and place packaging line. J Sched 26(2):113\u2013136","journal-title":"J Sched"},{"issue":"2","key":"976_CR28","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/s10951-023-00782-w","volume":"27","author":"A Shioura","year":"2024","unstructured":"Shioura A, Strusevich VA, Shakhlevich NV (2024) Preemptive scheduling of parallel jobs of two sizes with controllable processing times. J Sched 27(2):203\u2013224","journal-title":"J Sched"},{"key":"976_CR29","doi-asserted-by":"publisher","DOI":"10.1002\/9780470117842","volume-title":"Intelligent fault diagnosis and prognosis for engineering systems","author":"GJ Vachtsevanos","year":"2006","unstructured":"Vachtsevanos GJ, Lewis F, Roemer M, Hess A, Wu B (2006) Intelligent fault diagnosis and prognosis for engineering systems, vol 456. Wiley, Hoboken"},{"issue":"1","key":"976_CR30","doi-asserted-by":"publisher","first-page":"109","DOI":"10.3390\/math11010109","volume":"11","author":"P Zheng","year":"2022","unstructured":"Zheng P, Zhao W, Lv Y, Qian L, Li Y (2022) Health status-based predictive maintenance decision-making via LSTM and Markov decision process. Mathematics 11(1):109","journal-title":"Mathematics"},{"key":"976_CR31","doi-asserted-by":"publisher","first-page":"95491","DOI":"10.1109\/ACCESS.2020.2995586","volume":"8","author":"Y Zhou","year":"2020","unstructured":"Zhou Y, Sun W (2020) Tool wear condition monitoring in milling process based on current sensors. IEEE Access 8:95491\u201395502","journal-title":"IEEE Access"}],"container-title":["Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-025-00976-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12351-025-00976-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12351-025-00976-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T08:50:00Z","timestamp":1763974200000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12351-025-00976-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,18]]},"references-count":31,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["976"],"URL":"https:\/\/doi.org\/10.1007\/s12351-025-00976-4","relation":{},"ISSN":["1109-2858","1866-1505"],"issn-type":[{"value":"1109-2858","type":"print"},{"value":"1866-1505","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,18]]},"assertion":[{"value":"13 March 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 September 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"96"}}