A Novel Approach to solve Traveling Salesman Problem (TSP) using Metaheursitic Hybrid Algorithms

Authors

  • Kaur S Department of Computer Engineering and Technology, Guru Nanak Dev University, Amritsar, Punjab, India
  • Kaur K Department of Computer Engineering and Technology, Guru Nanak Dev University, Amritsar, Punjab, India

DOI:

https://doi.org/10.26438/ijcse/v6i2.2538

Keywords:

Metaheuristic Hybrids, Ant Colony Optimization (ACO), Simulated Annealing (SA), Traveling Salesman Problem (TSP), NP-Hard Optimization Problems, Global Pheromone Update (GPU), Local Pheromone Update (LPU)

Abstract

There is a great need for Artificial Intelligence and Nature Inspired Metaheuristic Algorithms for real world problems like Traveling Salesman Problem (TSP) belonging to NP-Hard Optimization problems which are hard to solve using mathematical formulation models. They are also a requirement for fast and accurate algorithms, specifically those that find out a node from start to the goal with the minimum cost, distance, time, money, energy etc. The Traveling Salesman Problem (TSP) is a combinatorial optimization problem which in it’s the purest form has a respective application for instance planning, logistics, and manufacture of microchips, military and traffic and so on. Metaheuristic techniques are general algorithmic frameworks including nature-inspired designs to solve complex optimization problems and they are a fast-growing research domain since a few decades. This paper proposes to solve this problem using hybridization of ACO (Ant Colony Optimization) and SA (Simulated Annealing). Ant Colony Optimization (ACO) is a population-based metaheuristic that can be used to find out appropriate approximate solutions to understand difficult NP-Hard optimization problems. Simulated Annealing (SA) is also a population-based metaheuristic that is inspired by annealing process proceeded with higher level temperature rate; it starts position on a first solution to maximum temperature, where the exchange states are accepted with a desired global extreme point is out of sight among many, poor temperature and probability density function, local update extrema. Moreover, MATLAB programming is used to implement the algorithms using solved TSP are three benchmarks on the same platform conditions for ACO, SA and Hybrid ACO-SA.

References

Divya Gupta, “Solving TSP using various Meta-heuristic Algorithms”, International Journal of Engineering Science, Vol. 1, pp. 26-30, 2013

Anas Arram, Masri Ayob, “Comparative Study of Metaheuristic Approaches for solving Traveling Salesman Problems”, Asian Journal of Applied Sciences, Vol. 7, pp. 662-670, 2014

Gunther R. Raidl, Jakob Puchinger, “Metaheuristic Hybrids”, International Series in Operations Research and Management Science, Vol. 146, pp. 469-496, 2010

Teodor Gabriel Crainic, Michel Toulouse, “Parallel Meta-Heuristics”, International Series in Operations Research and Management Science, Vol. 146, pp. 497-541, 2010

Marco Dorigo, Luca Maria Gambardella, “Ant Colony System: A cooperative learning approach to the Traveling Salesman Problem”, IEEE Transactions on Evolutionary Computation, Vol. 1, pp. 53-66, 1997

Marcus Randall, Andrew Lewis, “A Parallel Implementation of ACO”, Journal of Parallel and Distributed Computing, Vol. 62, pp. 1421-1432, 2002

Musa Peker, Baha Sen, “An efficient solving of the TSP: The Ant Colony System having parameters optimized by the Taguchi Method”, Turkish Journal of Electrical Engineering and Computer Sciences, Vol. 21, pp. 2015-2036, 2013

Pan Junjie, Wang Dingwei, “An ACO Algorithm for Multiple Traveling Salesman Problem”, Proceedings of the First International Conference on Innovative Computing, Information and Control, Vol. 1, pp. 210-213, 2006

Shu-Chuan Chu, John F. Roddick, “Ant Colony System with communication strategies”, Information Sciences, Vol. 167, pp. 63-76, 2004

Zar Chi Su Su Hlaing, May Aye Khine, “Solving Traveling Salesman Problem by using Improved ACO Algorithm”, International Journal of Information and Education Technology, Vol. 1, pp. 404-409, 2011

Chiranjib Patra, Pratyush, “Vector Ant Colony Optimization and Traveling Salesman Problem”, Computer Science and Information Technology, Vol. 4, pp. 31-39, 2014

Luca Maria Gambardella, Macro Dorigo, “Solving Symmetric and Asymmetric Traveling Salesman Problems by Ant Colonies”, IEEE Conference on Evolutionary Computation, Vol. 6, pp. 622-627, 1996

Dasaradh R. Mallampati, Pooja P. Mutalik, “A Parallel Multi-Phase Implementation of Simulated Annealing for the Traveling Salesman Problem”, Proceedings of the Sixth Distributed Memory Computing Conference, Vol. 6, pp. 488-491, 1991

Husamettin Bayram, Ramazan Sahin, “A New Simulated Annealing Approach for Traveling Salesman Problem”, Mathematical and Computational Applications, Vol. 18, pp. 313-322, 2013

Parham Azimi, Ramtin Rooeinfar, “A New Hybrid Parallel Simulated Annealing Algorithm for Traveling Salesman Problem with Transporters”, Journal of Optimization in Industrial Engineering, Vol. 15, pp. 1-13, 2014

Nitesh M. Sureja, Bharat V. Chawda, “Random Traveling Salesman Problem”, International Journal of Emerging Technology and Advanced Engineering, Vol. 2, pp. 621-624, 2012

David Bookstaber, “Simulated Annealing for Traveling Salesman Problem”, Springer, Vol. 1, pp. 1-9, 1997

M.A. Rufai, R.M. Alabison, “Solution to the Traveling Salesperson Problem using Simulated Annealing Algorithm”, Electronic Journal of Mathematical Analysis and Applications, Vol. 5, pp. 135-142, 2017

Lin Xiong, Shunxin Li, “Solving Traveling Salesman Problem Based on the Improved SA Algorithm with Sequential Access Restrictions”, Advances in Intelligent Systems Research, Vol. 130, pp. 610-616, 2016

Zicheng Wang, Xuitang Geng, “An Effective Simulated Annealing Algorithm for solving the Traveling Salesman Problem”, Journal of Computational and Theoretical Nanoscience, Vol. 6, pp. 1680-1686, 2009

Seyed Ahmad Sheibat Alhamdy, Mohammad Majdara, “Solving Traveling Salesman Problem using Ant Colony Optimization Algorithm and comparing with Tabu Search, Simulated Annealing and Genetic Algorithm”, Journal of Applied Sciences Research, Vol. 8, pp. 434-440, 2012

Adewole A.P., Otubamowo K., “A Comparative Study of Simulated Annealing and Genetic Algorithm for solving the Traveling Salesman Problem”, International Journal of Applied Information Systems, Vol. 4, pp. 6-12, 2012

Mateusz Borowski, Rafal Machon, “A Modified Traveling Salesman Problem: Algorithms and Experimentation System”, Journal of Intelligent Computing, Vol. 6, pp. 59-67, 2015

Hashim Ali, Yasir Shah, “Solving Traveling Salesman Problem through Optimization Techniques using Genetic Algorithm and Ant Colony Optimization”, Journal of Applied Environmental and Biological Sciences, Vol. 6, pp. 55-62, 2016

M. Fikret Ercan, Xiang Li, “Particle Swarm Optimization and its Hybrid”, International Journal of Computer and Communication Engineering, Vol. 2, pp. 52-55, 2013

Muhammed Basheer Jasser, Mohamad Sarmini, “Ant Colony Optimization and a variation of Bee Colony Optimization (BCO) in solving Traveling Salesman Problem, a comparative study”, International Journal of Computer Applications, Vol. 96, pp. 1-8, 2014

Younis Elhaddad, Omar Sallabi, “A New Hybrid Genetic and Simulated Annealing Algorithm to solve the Traveling Salesman Problem”, Proceedings of the world congress on Engineering, Vol. 1, pp. 11-14, 2010

Huiling Bao, “A Two-Phase Hybrid Optimization Algorithm for solving complex optimization problem”, International Journal of Smart Home, Vol. 9, pp. 27-36, 2015

Elena Simona, Nicoara, “Population Based Metaheuristics : A Comparative Analysis”, International Journal of Science and Engineering Investigations, Vol. 1, pp. 84-88, 2012

Rajesh Matai, Surya Prakash Singh, Murari Lal Mittal, “Traveling Salesman Problem: An Overview of Applications, Formulations, and Solution Approaches”, Traveling Salesman Problem, Theory and Applications, pp. 1-24, 2010

Ivan Brezina Jr., Zuzana Cickova, “Solving the Traveling Salesman Problem Using Ant Colony Optimization”, Management Information Systems, Vol. 6, pp. 010-014, 2011

Zar Chi Su Su Hlaing, May Aye Khine, “An Ant Colony Optimization Algorithm for Solving Traveling Salesman Problem”, International Conference on Information Communication and Management, Vol. 16, pp. 54-59, 2011

Marco Dorigo, “Ant Algorithms Solve Difficult Optimization Problems”, Springer, Vol. 1, pp. 11-22, 2001

V. Cerny, “Thermodynamical Approach to Traveling Salesman Problem: An Efficient Simulated Annealing”, Journal of Optimization Theory and Applications, Vol. 45, pp. 41-51, 1985

S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi, “Optimization by Simulated Annealing”, Science, Vol. 220, pp. 671-680, 1983

Downloads

Published

2025-11-12
CITATION
DOI: 10.26438/ijcse/v6i2.2538
Published: 2025-11-12

How to Cite

[1]
S. Kaur and K. Kaur, “A Novel Approach to solve Traveling Salesman Problem (TSP) using Metaheursitic Hybrid Algorithms”, Int. J. Comp. Sci. Eng., vol. 6, no. 2, pp. 25–38, Nov. 2025.

Issue

Section

Research Article