Heuristics Applied to Minimization of the Maximum-Diameter Clustering Problem

Autor: Gustavo Silva Semaan, Augusto Cesar Fadel, Flávio Montenegro, José André de Moura Brito
Rok vydání: 2021
Předmět:
Zdroj: IEEE Latin America Transactions. 19:652-659
ISSN: 1548-0992
DOI: 10.1109/tla.2021.9448548
Popis: This paper introduces two heuristic algorithms for the Maximum-Diameter Clustering Problem (MDCP), based on the Biased Random-Key Genetic Algorithm (BRKGA) and the Greedy Randomized Adaptive Search Procedure (GRASP) metaheuristics. This problem consists of finding k clusters that minimize the largest within-cluster distance (diameter) among all clusters. The MDCP is classified as NP-hard and presents increased difficulty when attempting to determine the optimal solution for any instance. The results obtained in the experiments using 50 well-known instances indicate a good performance of proposed heuristics, that outperformed both three algorithms and an integer programming model from the literature.
Databáze: OpenAIRE