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Similarity Measures for Exam Timetabling Problems

机译:考试时间表问题的相似性度量

摘要

A large number of heuristic algorithms have been developed over the yearswhich have been aimed at solving examination timetabling problems. However, many of these algorithms have been developed specifically to solve one particular problem instance or a small subset of instances related to a given real-life problem. Our aim is to develop a more general system which, when given any exam timetabling problem, will produce results which are comparative to those of a specially designed heuristic for that problem. We are investigating a Case based reasoning (CBR) technique to select from a set of algorithms which have been applied successfully to similar problem instances in the past. The assumption in CBR is that similar problems have similar solutions. For our system, the assumption is that an algorithm used to find a good solution to one problem will also produce a good result for a similar problem. The key to the success of the system will be our definition of similarity between two exam timetabling problems. The study will be carried out by running a series of tests using a simple Simulated Annealing Algorithm on a range of problems with differing levels of similarity and examining the data sets in detail. In this paper an initial investigation of the key factors which will be involved in this measure is presented with a discussion of how the definition of good impacts on this.
机译:多年来,已经开发了许多启发式算法,旨在解决考试时间表问题。但是,其中许多算法是专门为解决与给定实际问题相关的一个特定问题实例或一小部分实例而开发的。我们的目标是开发一个更通用的系统,当给出任何考试时间表问题时,其产生的结果将与针对该问题的特殊设计的启发式方法的结果相比较。我们正在研究基于案例的推理(CBR)技术,以从过去成功应用于相似问题实例的一组算法中进行选择。 CBR中的假设是相似的问题具有相似的解决方案。对于我们的系统,假设是用于找到一个问题的好的解决方案的算法也将为类似的问题产生好的结果。系统成功的关键将是我们对两个考试时间表问题之间相似性的定义。该研究将通过使用简单的模拟退火算法对一系列具有不同相似程度的问题进行一系列测试,并详细检查数据集来进行。在本文中,将对此措施将涉及的关键因素进行初步调查,并讨论良好定义如何对此产生影响。

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