Ant colony system for a VRP with multiple time windows and multiple visits

Daniela Favaretto Department of Applied Mathematics, University Ca’ Foscari of Venice, Dorsoduro 3825/E I-30123 Venice, Italy E-mail: [email protected]

Elena Moretti Department of Applied Mathematics, University Ca’ Foscari of Venice, Dorsoduro 3825/E I-30123 Venice, Italy E-mail: [email protected]

Paola Pellegrini Department of Applied Mathematics, University Ca’ Foscari of Venice, Dorsoduro 3825/E I-30123 Venice, Italy E-mail: [email protected]

Abstract

The Vehicle routing problem with time windows is frequently found in literature, while multiple time windows are not often considered. In this paper a mathematical formulation of the vehicle routing problem with multiple time windows is presented, taking into account periodic constraints. An algorithm based on Ant Colony System is proposed and implemented. Computational results related to a purpose-built benchmark are finally reported.

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Ant colony system for a VRP with multiple time windows and multiple visits

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Ant colony system for a VRP with multiple time windows and multiple visits

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