Finata Rastic Andrari, Maimunah Maimunah, Nurmala Dewi Qadarsih
{"title":"PENERAPAN PEWARNAAN GRAF PADA PENJADWALAN UJIAN TAHFIDZ MENGGUNAKAN ALGORITMA WELCH POWELL","authors":"Finata Rastic Andrari, Maimunah Maimunah, Nurmala Dewi Qadarsih","doi":"10.36526/tr.v7i1.2833","DOIUrl":null,"url":null,"abstract":"The case study in this research is the application of graph coloring in scheduling Tahfidz exams at SDIT Al Amanah in North Jakarta using the Welch Powell algorithm. The problem frequently encountered in exam scheduling is conflicts between examiners and the classes they teach. The implementation of the graph in this study assumes that classes are nodes, while edges connecting two nodes represent two classes taught by the same examiner. The results obtained indicate that the Welch Powell algorithm can be applied to schedule practical Tahfidz exams at SDIT AL Amanah with a minimum required number of 6 sessions. The implementation results demonstrate that the scheduling system for practical Tahfidz exams using the Welch Powell algorithm successfully generates a schedule without any overlapping in the execution time.","PeriodicalId":31699,"journal":{"name":"JMPM Jurnal Matematika dan Pendidikan Matematika","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JMPM Jurnal Matematika dan Pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36526/tr.v7i1.2833","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The case study in this research is the application of graph coloring in scheduling Tahfidz exams at SDIT Al Amanah in North Jakarta using the Welch Powell algorithm. The problem frequently encountered in exam scheduling is conflicts between examiners and the classes they teach. The implementation of the graph in this study assumes that classes are nodes, while edges connecting two nodes represent two classes taught by the same examiner. The results obtained indicate that the Welch Powell algorithm can be applied to schedule practical Tahfidz exams at SDIT AL Amanah with a minimum required number of 6 sessions. The implementation results demonstrate that the scheduling system for practical Tahfidz exams using the Welch Powell algorithm successfully generates a schedule without any overlapping in the execution time.
本研究的案例研究是使用Welch Powell算法在雅加达北部的SDIT Al Amanah的Tahfidz考试调度中应用图着色。在考试安排中经常遇到的问题是考官和他们所教的班级之间的冲突。在本研究中,图的实现假设类是节点,连接两个节点的边代表同一个考官教的两个类。得到的结果表明,Welch Powell算法可以用于安排SDIT AL Amanah的实际Tahfidz考试,所需的最少次数为6次。实施结果表明,采用Welch Powell算法的实际Tahfidz考试调度系统成功地生成了一个在执行时间上没有任何重叠的调度。