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

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,...

Descripción completa

Detalles Bibliográficos
Autores: Pérez Carabaza, Sara|||0000-0002-0707-207X, Gálvez Tomida, Akemi|||0000-0002-2100-2289, Iglesias Prieto, Andrés|||0000-0002-5672-8274
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/39062
Acceso en línea:https://hdl.handle.net/10902/39062
Access Level:acceso abierto
Palabra clave:Multiple traveling salesmen problem
Ant Colony Optimization
Min–max TSP
Metaheuristics
Descripción
Sumario: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