A db-Scan Hybrid Algorithm: An Application to the Multidimensional Knapsack Problem

Garcia, Jose; Moraga, Paola; Valenzuela, Matias; Pinto, Hernan

Abstract

This article proposes a hybrid algorithm that makes use of the db-scan unsupervised learning technique to obtain binary versions of continuous swarm intelligence algorithms. These binary versions are then applied to large instances of the well-known multidimensional knapsack problem. The contribution of the db-scan operator to the binarization process is systematically studied. For this, two random operators are built that serve as a baseline for comparison. Once the contribution is established, the db-scan operator is compared with two other binarization methods that have satisfactorily solved the multidimensional knapsack problem. The first method uses the unsupervised learning technique k-means as a binarization method. The second makes use of transfer functions as a mechanism to generate binary versions. The results show that the hybrid algorithm using db-scan produces more consistent results compared to transfer function (TF) and random operators.

Más información

Título según WOS: A db-Scan Hybrid Algorithm: An Application to the Multidimensional Knapsack Problem
Título de la Revista: MATHEMATICS
Volumen: 8
Número: 4
Editorial: MDPI
Fecha de publicación: 2020
DOI:

10.3390/MATH8040507

Notas: ISI