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Measuring and minimizing the badness of exam timetables

机译:衡量并最大程度地减少考试时间表的弊端

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Students and staff usually prefer exam timetables that are available before the start of the academic year, and in which adequate study time is available between exam papers. One method of constructing exam timetables before registration data of the students are available, is to divide the possible subjects into non-clashing subject groups and schedule the groups as units. As an example the exam timetable for all possible curricula and choices in the curricula of the North West University in South Africa had to be drawn up, giving students as fair an exam timetable as possible. As the lecture timetable is based on subject groups, the problem was to schedule all the groups of subjects, from first year up to fourth year students, in such a way over the available days of the exam, that students would have as many free days available between papers as can be achieved. The main focus of this paper was to define an objective function, taking into account the number of students and a measure of the 'badness' of each student's exam schedule. The objective function was minimized by a variation of the method of simulated annealing, over all possible permutations of the order of papers. The process resulted in a viable exam schedule, with virtually no student having a bad schedule, demonstrating that the method is a practical and effective method of construction fair exam schedules.
机译:学生和教职员工通常更喜欢考试时间表,这些时间表是在学年开始之前提供的,并且在考试卷之间有足够的学习时间。在获得学生注册数据之前构造考试时间表的一种方法是将可能的科目划分为不冲突的科目组,并将这些科目安排为单位。例如,必须制定南非西北大学所有可能的课程和选择课程的考试时间表,使学生尽可能公平地考试。由于讲座时间表是基于科目组的,因此问题是要安排从第一年级到第四年级学生的所有科目组,以这种方式在考试的可用时间内,使学生有尽可能多的空闲日可以在论文之间获得。本文的主要重点是定义目标函数,同时考虑到学生人数和每个学生考试时间表的“不良”程度。在所有可能的纸序排列上,通过模拟退火方法的变化将目标函数最小化。该过程产生了可行的考试时间表,几乎没有学生的时间表很糟糕,这表明该方法是构建公平考试时间表的一种实用而有效的方法。

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