Application of ant colony algorithm for vehicle routing problems

  • Z. A. Mereyeva
  • A. R. Turganbayeva


In recent years, mathematical methods based on the natural mechanisms of making decisions are extensively appliedin optimization problems.Repeated studies have shown that the most of the processes occurring in the nature are organized very efficiently. In particular, a number of scientific observations were held, which objects were the ant colonies. During the observation, it was found that the length of the path, laid from the anthill to a food source by ants, was close to the optimum value. Moreover, when the environment changes ant colony quickly adapts and finds new shortcuts.In order to improve the efficiency and quality of vehicle routing problem solution new approaches and algorithms
are offered. Swarm intelligence algorithms refer to such a type of methods. Developed modifications of the algorithms will improve the quality of the solutions. Quality of the solutions of vehicle routing problems has direct affect on the pricing of the product. The paper provides an overview of numerical methods for solving vehicle problems and the algorithm of ant colonies is considered in details as an example.


1. Kazharov А.А., Kureichik V.М. Ant algorithms for solving transport problems // News of RAS. Theory and management systems. – 2010. – No 1. – P. 32-45.
2. Novikov A.K. Application of ant algorithm in transport routing problems // Youth scientific and technical bulletin. – 2015. – No 11.
3. Bonavear E., Dorigo M. Swarm Intelligence: from Natural to Artificial Systems – Oxford: University Press. – 1999. – 307 p.
4. Shtovba S.D. Ant algorithms // Exponenta Pro. Mathematics in applications. – 2003. – No 4. – P. 70-75.
5. Svami M., Thulasiraman K. Graphs, nets and algorithms. – M.: Mir, 1984. – 454 p.
6. Varlamov O.O. Evolutionary databases and knowledge bases for adaptive synthesis of intellectual systems. Mivarnoe informational space. – М: Radio and connection, 2002. – 286 p.
How to Cite
MEREYEVA, Z. A.; TURGANBAYEVA, A. R.. Application of ant colony algorithm for vehicle routing problems. International Journal of Mathematics and Physics, [S.l.], v. 7, n. 1, p. 46-49, june 2016. ISSN 2409-5508. Available at: <>. Date accessed: 19 june 2018. doi:


vehicle routing problems, swarm intelligence, ant colony optimization algorithms.