Biased Random-Key Genetic Algorithm with Local Search Applied to the Maximum Diversity Problem

Geiza Silva, André Leite, Raydonal Ospina, Víctor Leiva (), Jorge Figueroa-Zúñiga and Cecilia Castro
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Geiza Silva: Centre of Mathematics, Computing and Cognition, Universidade Federal do ABC, Santo André 09210-580, Brazil
André Leite: Department of Statistics, CASTLab, Universidade Federal Pernambuco, Recife 50670-901, Brazil
Raydonal Ospina: Department of Statistics, CASTLab, Universidade Federal Pernambuco, Recife 50670-901, Brazil
Víctor Leiva: School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
Jorge Figueroa-Zúñiga: Department of Statistics, Universidad de Concepción, Concepción 4070386, Chile
Cecilia Castro: Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal

Mathematics, 2023, vol. 11, issue 14, 1-11

Abstract: The maximum diversity problem (MDP) aims to select a subset with a predetermined number of elements from a given set, maximizing the diversity among them. This NP-hard problem requires efficient algorithms that can generate high-quality solutions within reasonable computational time. In this study, we propose a novel approach that combines the biased random-key genetic algorithm (BRKGA) with local search to tackle the MDP. Our computational study utilizes a comprehensive set of MDPLib instances, and demonstrates the superior average performance of our proposed algorithm compared to existing literature results. The MDP has a wide range of practical applications, including biology, ecology, and management. We provide future research directions for improving the algorithm’s performance and exploring its applicability in real-world scenarios.

Keywords: biological diversity conservation; evolutionary algorithms; computational simulations; random-key genetic algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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