Penentuan Rute Pengiriman Ice Tube di Kota Malang dengan Algoritma Genetika

Authors

  • Nurina Savanti Widya Gotami Universitas Brawijaya
  • Yane Marita Febrianti Universitas Brawijaya
  • Robih Dini Universitas Brawijaya
  • Hamim Fathul Aziz Universitas Brawijaya
  • San Sayidul Akdam Augusta Universitas Brawijaya
  • Vivi Nur Wijayaningrum Universitas Brawijaya http://orcid.org/0000-0002-4405-9421

DOI:

https://doi.org/10.24002/jbi.v11i1.2559

Abstract

Abstract. Determining routes for ice tube delivery in Malang is a complex combinatorial problem classified as NP-hard problem. This study aims for optimizing the sales travel routes determination for the delivery to several customers by considering the efficiency of distance traveled. This problem is modeled in the form of Multi Salesman Traveling Problem. Genetic algorithm was used to optimize the determination of ice tube delivery routes that must be taken by each sales. Problems were coded by using permutation representation in which order crossover and swap mutation methods were used for the reproduction process. The process of finding solution was done by using elitism selection. The best genetic algorithm parameters obtained from the test results are the number of iterations of 40 and the population of 40, with the shortest route of 30.3 km. The final solution given by the genetic algorithm is in the form of a travel route that must be taken by each ice tube sales.
Keywords: genetic algorithm, mutli travelling salesman problem, optimization, route


Abstrak. Penentuan rute pengiriman ice tube di kota Malang merupakan permasalahan kombinatorial kompleks yang diklasifikasikan sebagai permasalahan NP-hard. Penelitian ini bertujuan untuk melakukan optimasi dalam pembentukan rute perjalanan sales dalam melakukan pengiriman ke beberapa pelanggan dengan mempertimbangkan efisiensi jarak tempuh. Permasalahan ini dimodelkan dalam bentuk Multi Salesman Travelling Problem. Algoritme genetika digunakan untuk mengoptimalkan pembentukan rute pengiriman ice tube yang harus dilalui oleh setiap sales. Permasalahan dikodekan menggunakan representasi permutasi, dengan proses reproduksi menggunakan metode order crossover dan swap mutation. Proses pencarian solusi dilakukan menggunakan elitism selection. Parameter algoritme genetika terbaik yang didapatkan dari hasil pengujian adalah banyaknya iterasi sebesar 40 dan banyaknya populasi sebesar 40, dengan rute terpendek sebesar 30.3 km. Solusi akhir yang diberikan oleh algoritme genetika berupa rute perjalanan yang harus ditempuh oleh setiap sales ice tube.
Kata Kunci: algoritme genetika, multi travelling salesman problem, optimasi, rute

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Published

2020-05-01