A Differential Evolution Algorithm for the University course timetabling problem

Khalid Shaker, S. Abdullah, A. Hatem
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引用次数: 5

Abstract

The University course timetabling problem is known as a NP-hard problem. It is a complex problem wherein the problem size can become huge due to limited resources (e.g. amount of rooms, their capacities and number availability of lecturers) and the requirements for these resources. The university course timetabling problem involves assigning a given number of events to a limited number of timeslots and rooms under a given set of constraints; the objective is to satisfy the hard constraints and minimize the violation of soft constraints. In this paper, a Differential Evolution (DE) algorithm is proposed. DE algorithm relies on the mutation operation to reduce the convergence time while reducing the penalty cost of solution. The proposed algorithm is tested over eleven benchmark datasets (representing one large, five medium and five small problems). Experimental results show that our approach is able to generate competitive results when compared with previous available approaches. Possible extensions upon this simple approach are also discussed.
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大学课程排课问题的差分进化算法
大学课程排课问题被称为np困难问题。这是一个复杂的问题,由于有限的资源(例如,房间的数量,它们的容量和讲师的可用数量)以及对这些资源的需求,问题的规模可能会变得巨大。大学课程时间表问题涉及到在一组给定的约束条件下,将给定数量的事件分配到有限数量的时间段和房间;目标是满足硬约束和最小化对软约束的违反。本文提出了一种差分进化(DE)算法。DE算法依靠变异运算来缩短收敛时间,同时降低求解的惩罚代价。该算法在11个基准数据集(代表一个大、五个中、五个小问题)上进行了测试。实验结果表明,与现有的方法相比,我们的方法能够产生具有竞争力的结果。本文还讨论了这种简单方法的可能扩展。
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