{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:16:53Z","timestamp":1760242613967,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T00:00:00Z","timestamp":1513555200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Project of Natural Science Foundation Program of Liaoning Province","award":["20170520319"],"award-info":[{"award-number":["20170520319"]}]},{"name":"Open Research Project of the State Key Laboratory of Industrial Control Technology, Zhejiang University, China","award":["ICT170286"],"award-info":[{"award-number":["ICT170286"]}]},{"name":"Scientific Research Staring Foundation of Liaoning Shihua University","award":["2016XJJ-101"],"award-info":[{"award-number":["2016XJJ-101"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Handling uncertainty in an appropriate manner during the real operation of a cyber-physical system (CPS) is critical. Uncertain production scheduling as a part of CPS uncertainty issues should attract more attention. In this paper, a Mixed Integer Nonlinear Programming (MINLP) uncertain model for batch process is formulated based on a unit-specific event-based continuous-time modeling method. Utility uncertainty and uncertain relationship between production rate and utility supply are described by fuzzy theory. The uncertain scheduling model is converted into deterministic model by mathematical method. Through one numerical example, the accuracy and practicability of the proposed model is proved. Fuzzy scheduling model can supply valuable decision options for enterprise managers to make decision more accurate and practical. The impact and selection of some key parameters of fuzzy scheduling model are elaborated.<\/jats:p>","DOI":"10.3390\/info8040158","type":"journal-article","created":{"date-parts":[[2017,12,19]],"date-time":"2017-12-19T04:04:15Z","timestamp":1513656255000},"page":"158","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Uncertain Production Scheduling Based on Fuzzy Theory Considering Utility and Production Rate"],"prefix":"10.3390","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7726-5267","authenticated-orcid":false,"given":"Yue","family":"Wang","sequence":"first","affiliation":[{"name":"School of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, China"},{"name":"National Experimental Teaching Demonstration Center of Petrochemical Process Control, Liaoning Shihua University, Fushun 113001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1904-9424","authenticated-orcid":false,"given":"Xin","family":"Jin","sequence":"additional","affiliation":[{"name":"School of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, China"},{"name":"National Experimental Teaching Demonstration Center of Petrochemical Process Control, Liaoning Shihua University, Fushun 113001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Xie","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanhui","family":"Zhang","sequence":"additional","affiliation":[{"name":"Zhejiang Supcon Software Co., Ltd., Hangzhou 310053, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shan","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Innovation and Entrepreneurship, Shenzhen Polytechnic, Shenzhen 518055, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,12,18]]},"reference":[{"key":"ref_1","first-page":"101","article-title":"A Secured Health Care Application Architecture for Cyber-Physical Systems","volume":"13","author":"Wang","year":"2011","journal-title":"J. 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