Perbandingan Algoritma Cheapest Insertion Heuristic Dan Nearest Neighbor Dalam Menyelesaikan Traveling Salesman Problem

Authors

  • Rizki Putra Sinaga Universitas Negeri Medan
  • Faridawaty Marpaung Universitas Negeri Medan

DOI:

https://doi.org/10.55606/jurrimipa.v2i2.1614

Keywords:

Traveling Salesman Problem, Cheapest Insertion Heuristic Algorithm, Nearest Neighbor

Abstract

The main problem of the Traveling Salesman Problem is that a salesman travels to several places to go with a known distance and then returns to his original place by using the shortest route from his journey, and all the places the salesman goes to are only allowed once. This research focuses on the problem of distributing goods at PT. The Medan Nugraha Ekakurir (JNE) route with the destination delivery address in the Medan area. The Cheapest Insertion Heuristic Algorithm is an algorithm used to form tours (travels) by gradually building the shortest path route with minimal weight, by adding new points one at a time. One. The Nearest Neighbor Algorithm is a simple and fast algorithm to build a feasible initial tour length from TSP where the technique takes the shortest distance from the initial position regardless of other distances. This study resulted in the conclusion that the application of the cheapest insertion heuristic and nearest neighbor algorithms in terms of finding the distance to the problem of shipping goods at PT. The Medan Nugraha Ekakurir (JNE) route starts with finding the distance between addresses with the help of google maps, then continues with the help of the WinQSB software. Based on the research results obtained using the cheapest insertion heuristic and nearest neighbor algorithms, it is obtained that the search for the shortest route distance for shipping goods at PT. The smaller Medan Nugraha Ekakurir (JNE) route is generated by the nearest neighbor algorithm. This shows that the nearest neighbor algorithm is more effective in terms of finding the traveling distance on the Traveling Salesman Problem problem of shipping goods at PT. Medan's Nugraha Ekakurir (JNE) Line.

References

Ahmad, L., (2008): Penyelesaian Traveling Salesman Problem Dengan Menggunakan Metode Cheapest Insertion Heuristic,Jurnal Teknik Informatika,.

Aristi, G., (2014): Perbandingan Algoritma Greedy , Algoritma Cheapest Insertion Heuristics Dan Dynamic Programming Dalam Penyelesaian Travelling Salesman Problem, Jurnal Paradigma,10(1), 101-106.

Budayasa, I. K. (2007): Teori Graf dan Aplikasinya. Surabaya: Unesa University Press.

Dian, Yushinta. I. E. A., (2018): A New Hybrid Method Based on Nearest Neighbor Algorithm and 2-Opt Algorithm for Traveling Salesman Problem , Jurnal International Conference On Wireless And Telematics,1(4), 1-4.

Efendi (2010): Studi Perbandingan Algoritma Cheapest Insertion Heuristic dan Ant Colony System Dalam Pemecahan Travelling Salesman Problem”, Jurnal Aplikasi Teknolohi Informasi.

Herlita, K., (2017): Distribusi Barang Menggunakan Algoritma Nearest Neighbour, Universitas Sanata Dharma.

Kusrini, J., (2007): Penyelesain Travelling Salesman Problem dengan Algoritma Cheapest Insertion Heuristic dan Basis Data, Jurnal Teknik Informatika, Universitas Petra, 8(2), 109-114.

Munir, R. 2005. Matematika Diskrit. Bandung : CV Informatika

Rio Utomo, D. d. C., (2018): Implementasi Algoritma Cheapest Insertion Heuristic (CIH) dalam Penyelesaian Travelling Salesman Problem (TSP) , Jurnal Online Informatika,3(1), 61-67.

Sutoyo, I., (2018): Penerapan Algoritma Nearest Neighbour untuk menyelesaikan Travelling Salesman Problem, Jurnal Paradigma,10(1), 101-106.

Suyanto, (2010): Distribusi Barang Menggunakan Algoritma Optimasi Deterministik atau Probabilistik, Graha Ilmu, Yogyakarta.

Tri (2013): Algoritma Optimasi Untuk Penyelesaian Travelling Salesman Problem,

Jurnal Transformatika,11(1), 1-6.

Winston, Wayne. L. dan Goldberg. J. B., (2004). “Operations Research Application And Algorithms 4th Edition”. United States of America: Duxbury

Wilyanto, (2020): Penentuan Rute Perjalanan untuk perencanaan Wisata di Kota

Medan dengan Algoritma Cheapest Insertion Heuristic, Skripsi,.

Zulfikar, N. 2008. Aplikasi Algoritma Genetika Untuk Mencari Rute Terpendek N-Buah Node. Skripsi. FTIK Unikom.

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Published

2023-10-30

How to Cite

Rizki Putra Sinaga, & Faridawaty Marpaung. (2023). Perbandingan Algoritma Cheapest Insertion Heuristic Dan Nearest Neighbor Dalam Menyelesaikan Traveling Salesman Problem. JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM, 2(2), 238–247. https://doi.org/10.55606/jurrimipa.v2i2.1614