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arXiv 2607.23109math.OC

一种解决芬兰大学排课问题的新型优化模型

A Novel Optimization Model for Solving the Timetabling Problem at Finnish Universities

Kimmo Nurmi, Jari Kyngäs, Pauliina Halme

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中文总结 AI 辅助

研究芬兰大学排课问题,通过与三所芬兰大学及教育管理系统提供商合作,历经三个阶段,提出CRONOPT模型,能同时解决有效利用资源、关注教师、保障学生学习推进这三个目标,且优化方案可与领先管理系统集成。

中文摘要 AI 辅助

我们研究芬兰大学面临的排课问题,其挑战在于平衡大学、教师和学生这三个关键利益相关者的偏好。教育排课是确保一切顺利协作进行的重要任务,其效率显著影响学校教育项目的顺利开展及财务状况。随着大学发展和竞争加剧,大学排课问题的特征发生了变化。本文介绍了与三所芬兰大学及一家领先的大学教育管理系统提供商正在进行的优化项目。该合作的主要目标不仅是简化时间表创建,还能采用全新方法管理整个规划过程。项目包括可行性研究、准备阶段和实施三个为期六个月的阶段。在可行性研究中识别出了一些研究相关差距和新的实际目标。为解决这些差距和目标,本文提出了独特的CRONOPT模型,可同时解决三个目标:有效利用大学资源、教师工作量与福祉、以及学生学习的顺利推进。通过该项目开发的优化解决方案可直接与芬兰大学领先的教育管理系统集成。

英文摘要

We study a timetabling problem faced by Finnish universities, where the challenge is to balance the preferences of three key stakeholders: the university, teachers, and students. Educational timetabling is an essential task that ensures that everything runs effortlessly and collaboratively. Its efficiency significantly impacts the smooth operation of the institution's educational programs and its financial success. As universities have evolved and competition among them has intensified, the features of the university timetabling problem have changed. This paper describes an ongoing optimization project with three Finnish universities and a leading provider of educational management systems for universities. The main goal of this cooperation is not merely to streamline the creation of timetables, but to enable an entirely new approach to manage the entire planning process. The project consists of three six-month phases: the feasibility study, the preparation phase, and the implementation. During the feasibility study, several research-related gaps and novel practical goals were identified. To address these gaps and goals, this paper presents a unique CRONOPT model for tackling three targets simultaneously: effective use of university resources, teacher workload and well-being, and smooth progression of students' studies. The optimization solution developed through the project integrates directly with the market-leading educational management system for Finnish universities.

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