{"id":9190,"date":"2026-07-12T19:53:00","date_gmt":"2026-07-12T11:53:00","guid":{"rendered":"\/jase\/?post_type=tkuisotope&p=9190"},"modified":"2026-07-12T20:50:42","modified_gmt":"2026-07-12T12:50:42","slug":"jase-202610-33-038","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=jase-202610-33-038","title":{"rendered":"Scheduling Supervisory Tasks with Uncertainty in Human Machine Collaborative Environments: Model, Algorithm, And an Application in An International Logistics Base"},"content":{"rendered":"\n
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<\/i> 2026<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 33<\/a><\/p>\n<\/div>\n\n\n\n

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Zongchao Wei1,2<\/sup> and Juntao Li2,3<\/sup><\/i><\/a><\/p>\n\n\n\n

1<\/sup>School of International Education, Yellow River Conservancy Technical University, kaifeng 475004, China<\/p>\n\n\n\n

2<\/sup>North China University of Water Resources and Electric Power, Zhengzhou, 450000, China<\/p>\n\n\n\n

3<\/sup>Kaifeng JiaoJian Industrial Investment Co., Ltd., Kaifeng 475004, China<\/p>\n<\/div>\n\n\n\n

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Received: March 6, 2026
Accepted: April 29, 2026
Publication Date: July 12, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

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Impact of Task Scale on Algorithm Efficiency<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202610_33.038<\/a>\u00a0\u00a0<\/p>\n\n\n\n

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To address resource scheduling challenges in the human-machine collaborative environment of the Zhengzhou International Logistics Base, this study formulates the problem as a Simultaneous Resource Scheduling Problem (SRSP) using an integer linear programming model that maximizes timely task completion and proves the problem is NP-hard when the number of resource types |R| \u2265 3. To address this challenge, A priority-based heuristic scheduling framework is proposed for human-machine collaborative supervision, featuring an offline HC algorithm for periodic tasks that dynamically prioritizes using delay risk, critical-path-based deadline partitioning, and successor influence.<\/p>\n\n\n\n

Keywords: Human-machine collaborative scheduling; Logistics resource optimization; NPhard problems; Heuristic algorithms; Uncertainty modeling<\/em><\/p>\n\n\n\n

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