Noel E. Rodríguez-Maya, J. Martínez-Carranza, J. Flores, Mario Graff
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引用次数: 4
摘要
学者课程表问题包括在给定的时间段内将讲师、教室和课程表之间的会议序列固定到一组小组和课程中,满足一组不同的约束条件,其中每个课程、讲师、教室和时间都有特殊的特征,这个问题被称为np困难问题。鉴于不可能最优地解决这个问题,传统和元启发式方法被提出来提供接近最优的解决方案。本文介绍了一种采用实数编码的遗传算法来解决学者排课问题。在基于种群的启发式搜索中,对染色体的朴素表示导致违反问题约束的高概率。为了将违反约束的解决方案(不可行的解决方案)转换为不违反约束的解决方案(可行的解决方案),我们提出了一种修复机制。基于所提出的机制,我们提出了一个适用于实际学校(Instituto tecologico de Zitacuaro)的学者排课问题的可能解决方案。本文给出了基于不同类型遗传算法配置的实验结果,并给出了解决该问题的最佳遗传算法配置。
Solving a Scholar Timetabling Problem Using a Genetic Algorithm - Study Case: Instituto Tecnologico De Zitacuaro
The Scholar Timetabling Problem consists of fixing a sequence of meetings between lecturers, classrooms and schedule to a set of groups and courses in a given period of time, satisfying a set of different constraints, where each course, lecturer, classroom, and time have special features, this problem is known to be NP-hard. Given the impossibility to solve this problem optimally, traditional and metaheuristic methods have been proposed to provide near-optimal solutions. This paper shows the implementation of a Genetic Algorithm (GA) using a real coding to solve the Scholar Timetabling Problem. A naive representation for chromosomes in a population-based heuristic search leads to high probabilities of violation of the problem constraints. To convert solutions that violate constraints (unfeasible solutions) into ones that do not (feasible solutions), we propose a repair mechanism. Based on the proposed mechanism, we present a possible solution to the Scholar Timetabling Problem applied to a real school (Instituto Tecnologico de Zitacuaro). Here we present experimental results based on different types of GA configurations to solve this problem and present the best GA configuration to solve the study case.