K-MEDOID PETAL-SHAPED CLUSTERING FOR THE CAPACITATED VEHICLE ROUTING PROBLEM

• Jacoba Bührmann University of the Witwatersrand
• Frances Bruwer University of the Witwatersrand

DOI:

https://doi.org/10.7166/32-3-2610

Abstract

In this research, k-medoid clustering is modelled and evaluated for the capacitated vehicle routing problem (CVRP). The k-medoid clustering method creates petal-shaped clusters, which could be an effective method to create routes in the CVRP. To determine routes from the clusters, an existing metaheuristic — the ruin and recreate (R&R) method — is applied to each generated cluster. The results are benchmarked to those of a well-known clustering method, k-means clustering. The performance of the methods is measured in terms of travel cost and distance travelled, which are well-known metrics for the CVRP. The results show that k-medoid clustering method outperforms the benchmark method for most instances of the test datasets, although the CVRP without any predefined clusters still provides solutions that are closer to optimal. Clustering remains a reliable distribution management tool and reduces the processing requirements of large-scale CVRPs.