{"title":"APLIKASI ALGORITMA DIJKSTRA UNTUK MENENTUKAN RUTE TERPENDEK DARI KAMPUS A KE B UIN RADEN FATAH","authors":"Rendi Saputrama, Hartatiana Hartatiana","doi":"10.24843/mtk.2021.v10.i03.p339","DOIUrl":null,"url":null,"abstract":"Finding the shortest direction is one of the options that have been considered while traveling. One of the problems that occur for lecturers, staff, and students of UIN Raden Fatah is determining the shortest direction from Campus A to B. The application of graph theory by using Dijkstra's Algorithm becomes a solution for this problem. This algorithm has the advantage to minimize the expense of the costs by finding the shortest route from starting point to the destination. This study is applied research. The study will discuss the determination of the origin and destination end-point, traverse route, the calculation of the weight distance, analyzes the Dijkstra's iteration to determine the shortest route, and conclusion. As the result, the land route becomes the shortest route option from UIN Raden Fatah Campus A to B. The directed graph of the route represents the location as point, the road as the side, and distance as weight. The result shows that the route distance is 6.94 km using Dijkstra's Algorithm.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"E-Jurnal Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24843/mtk.2021.v10.i03.p339","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
Finding the shortest direction is one of the options that have been considered while traveling. One of the problems that occur for lecturers, staff, and students of UIN Raden Fatah is determining the shortest direction from Campus A to B. The application of graph theory by using Dijkstra's Algorithm becomes a solution for this problem. This algorithm has the advantage to minimize the expense of the costs by finding the shortest route from starting point to the destination. This study is applied research. The study will discuss the determination of the origin and destination end-point, traverse route, the calculation of the weight distance, analyzes the Dijkstra's iteration to determine the shortest route, and conclusion. As the result, the land route becomes the shortest route option from UIN Raden Fatah Campus A to B. The directed graph of the route represents the location as point, the road as the side, and distance as weight. The result shows that the route distance is 6.94 km using Dijkstra's Algorithm.
寻找最短的方向是旅行时考虑的选项之一。UIN Raden Fatah的讲师、员工和学生面临的问题之一是确定从A校区到B校区的最短方向。使用Dijkstra算法应用图论就成为了这个问题的解决方案。该算法的优点是通过找到从起点到目的地的最短路线来最小化成本。本研究为应用研究。本研究将讨论起点和终点的确定、导线路线、权重距离的计算,分析Dijkstra迭代法确定最短路线,并得出结论。因此,陆路成为从UIN Raden Fatah校区A到B的最短路线选项。路线的有向图将位置表示为点,将道路表示为边,将距离表示为权重。结果表明,使用Dijkstra算法,路线距离为6.94km。