Jurnal Matematika: MANTIK
Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics

Use of Ant Colony Optimization Algorithm for Determining Traveling Salesman Problem Routes

Bib Paruhum Silalahi (Institut Pertanian Bogor)
Nurul Fathiah (Institut Pertanian Bogor)
Prapto Tri Supriyo (Institut Pertanian Bogor)



Article Info

Publish Date
27 Oct 2019

Abstract

Ant Colony Optimization is one of the meta-heuristic methods used to solve combinatorial optimization problems that are quite difficult. Ant Colony Optimization algorithm is inspired by ant behavior in the real world to build the shortest path between food sources and their nests. Traveling Salesman Problem is a problem in optimization. Traveling Salesman Problem is a problem to find the minimum distance from the initial node to the whole node with each node must be visited exactly once and must return to the initial node. Traveling Salesman Problem is a non-deterministic polynomial-time complete problem. This research discusses the solution of the Traveling Salesman Problem using the Ant Colony Optimization algorithm and also using the exact algorithm. The results showed that the greater the size of the Traveling Salesman Problem case, the longer the execution time required. The results also showed that the execution times of the Ant Colony Optimization are much faster than the execution time of the exact method.

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Journal Info

Abbrev

mantik

Publisher

Subject

Mathematics

Description

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, ...