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Performance Analysis of Metaheuristic Algorithms on Asymmetric Travelling Salesman Problems

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this study, the performance of five prominent metaheuristic algorithms–Particle Swarm Optimization (PSO), Grey Wolf Optimizer (GWO), Whale Optimization Algorithm (WOA), Sine-Cosine Algorithm (SCA), and Artificial Hummingbird Algorithm (AHA)–is evaluated on the Asymmetric Travelling Salesman Problem (ATSP). These algorithms were chosen for analysis due to their notable achievements in solving various optimization challenges in both theoretical and practical contexts. Originally designed for continuous optimization problem, these methods were adapted to tackle the combinatorial structure of the ATSP using an order-based decoding method. To enhance their local search capabilities, the 2-opt algorithm was also implemented. The performance assessment involved testing each algorithm across 14 distinct ATSP instances and comparing their results. Statistical tests were conducted to verify the performance outcomes, highlighting the AHA as particularly competitive and robust in solving the ATSP.

Original languageEnglish
Title of host publicationLearning and Analytics in Intelligent Systems
PublisherSpringer Nature
Pages131-146
Number of pages16
DOIs
StatePublished - 2026
Externally publishedYes

Publication series

NameLearning and Analytics in Intelligent Systems
Volume60
ISSN (Print)2662-3447
ISSN (Electronic)2662-3455

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2026.

Keywords

  • Artificial humming bird algorithm
  • Asymmetric travelling salesman problem
  • Grey wolf optimizer
  • Particle swarm optimization
  • Sine-cosine algorithm
  • Whale optimization algorithm

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Vision and Pattern Recognition
  • Computer Science Applications
  • Artificial Intelligence

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