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Partition-informed ant colony optimization for min-max multiple TSP

Abstract: The multiple traveling salesmen problem (mTSP) generalizes the classical TSP by involving multiple travelers who must collectively visit all cities, starting and ending at a common depot. This work focuses on the min?max variant, where the objective is to minimize the length of the longest subtour, ensuring a balanced workload among travelers, which is a crucial factor in many real-world applications, such as emergency response and logistics. This paper proposes a novel Ant Colony System (ACS)-based approach that effectively addresses the min?max mTSP, designed to construct well-balanced tours while optimizing the maximum tour length. The method integrates two key strategies: a sector-based heuristic for guiding city assignments, and a dynamic traveler selection criterion to promote equitable route construction. The method was evaluated on 33 two-dimensional Euclidean benchmark instances and compared with four state-of-the-art ACO-based approaches, demonstrating consistently better fitness under the min?max objective

 Fuente: Swarm and Evolutionary Computation, 2026, 100, 102224

 Editorial: Elsevier

 Fecha de publicación: 01/01/2026

 Nº de páginas: 13

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.swevo.2025.102224

 ISSN: 2210-6502,2210-6510

 Proyecto español: PID2021-127073OB-I00

 Url de la publicación: https://doi.org/10.1016/j.swevo.2025.102224