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Measuring and minimizing the badness of exam timetables

机译:测量和最小化考试时间表的坏账

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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:学生和工作人员通常喜欢考试时间表,该学年开始前是可用的,并且实施了足够的学习时间是试卷之间可用。构建考试之前时间表可用的学生的登记数据的一种方法,是划分可能受试者成非争食受试者组和调度的基团的单元。举个例子考试时间表在南非西北大学的课程中所有可能的课程和选择已经被抽了起来,给学生公平考试时间表越好。随着讲座的时间表是基于学科组,问题是学科所有组,从第一年最多安排到四年级的学生,这样在考试的可用天数,学生能有尽可能多的自由天文件之间可以作为可以实现的。本文的重点是定义一个目标函数,考虑到学生人数和每个学生的考试日程安排的“坏”的衡量。目标函数是通过模拟退火的方法的变化最小化,在论文的顺序的所有可能的排列。该过程产生了一个可行的时间表考试,几乎有一个糟糕的日程安排没有学生,证明该方法是建设公平的考试时间表的实用和有效的方法。

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