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A mathematical programming model for high school timetabling problem

机译:高中时间表问题的数学编程模型

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This paper presents a mathematical programingmodel that supports the design of timetables of classes in primary andsecondary educational institutions, allowing the decision maker to takeinto account the constraints and variables that are commonly associatedto this problem. Our model diers from most of those in the literatureas the objective function aims at maximizing the number of blocks, twoconsecutive hours of lecture devoted to the same subject, which favors thelearning process, optimizes teachers' agendas by reducing idle times andreduces cost and contractual diculties. The model is validated using a real instance of a middle size institution for which the current timetable is considerably improved. Additionally, computational experiments with larger instances were carried on in order to test the capacity of the model for which promising results were obtained.
机译:本文提出了一种数学编程模型,该模型支持中小学教育机构课程表的设计,从而使决策者能够考虑到与此问题通常相关的约束和变量。我们的模型与文献中的大多数模型有所不同,因为目标函数旨在最大程度地增加块数,针对同一主题的连续两个小时的授课时间,这有利于学习过程,通过减少空闲时间,减少成本和减少合同难度来优化教师的议程。该模型使用中等规模机构的实际实例进行了验证,当前时间表已得到相应改善。另外,进行了具有更大实例的计算实验,以测试获得有希望的结果的模型的能力。

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