A matheuristic algorithm for the three dimensional loading capacitated vehicle routing problem (3L-CVRP)

Authors

DOI:

https://doi.org/10.17533/udea.redin.n78a02

Keywords:

Vehicle Routing Problem, Matheuristics, Branch-and-Cut, packing

Abstract


This paper presents a hybrid algorithm for solving the Capacitated Vehicle Routing Problem with practical three-dimensional loading constraint. This problem is known as 3L-CVRP (Three-dimensional Loading Capacitated Vehicle Routing Problem). The proposed methodology consists of two phases. The first phase uses an optimization procedure based on cuts to obtain solutions for the well-known Capacitated Vehicle Routing Problem (CVRP). The second phase validates the results of the first phase of a GRASP algorithm (Greedy Randomized Adaptive Search Procedure). In particular, the GRASP approach evaluates the packing constraints for each performed route of the CVRP. The proposed hybrid algorithm uses a relaxation of the classical model of two sub-indices for the vehicle routing problem. Specifically different types of cuts are added: subtour elimination, capacity-cut constraints, and packing-cut constrains. The proposed algorithm is compared with the most efficient approaches for the 3L-CVRP on the set of benchmark instances considered in the literature. The computational results indicate that the proposed approach is able to obtain good solutions, improving some of the best-known solutions from the literature.

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Author Biographies

Luis Miguel Escobar-Falcón, Universidad Tecnológica de Pereira

Engineering School

David Álvarez-Martínez, Universidad del Estado de São Paulo

Department of Electrical Engineering, Ilha Solteira Campus

Mauricio Granada-Echeverri, Universidad Tecnológica de Pereira

Professor, Electric Engineering School

John Willmer Escobar-Velásquez, Universidad del Valle

Finance and accounting Departament, Management Science School

Rubén Augusto Romero-Lázaro, Universidad del Estado de São Paulo

Professor, Electric Engineering Department, Campus de Ilha Solteira

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Published

2016-03-18

How to Cite

Escobar-Falcón, L. M., Álvarez-Martínez, D., Granada-Echeverri, M., Escobar-Velásquez, J. W., & Romero-Lázaro, R. A. (2016). A matheuristic algorithm for the three dimensional loading capacitated vehicle routing problem (3L-CVRP). Revista Facultad De Ingeniería Universidad De Antioquia, (78), 9–20. https://doi.org/10.17533/udea.redin.n78a02