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Diversity Optimization Models

In: Handbook of Heuristics

Author

Listed:
  • Fernando Sandoya

    (Escuela Superior Politécnica del Litoral
    Universidad de Guayaquil)

  • Anna Martínez-Gavara

    (Universidad de Valencia)

  • Ricardo Aceves

    (Universidad Nacional Autónoma de México)

  • Abraham Duarte

    (Universidad Rey Juan Carlos, Department of Computer Science and Statistics)

  • Nilse Romero

    (Universidad Nacional Autónoma de México)

  • Osvaldo Palma

    (Universidad Nacional Autónoma de México)

  • Rafael Martí

    (University of Valencia, Operations Research and Statistics Department, School of Mathematics)

Abstract

The challenge of maximizing the diversity of a collection of points arises in a variety of social studies, which translates into the growing interest in the treatment of diversity in mathematical models. Although the terms diversity and dispersion can be found in many optimization problems to be indistinguishable, we undertake to explore the different models behind them. This chapter describes the mathematical models for two diversity problems and three equity problems. In addition, it also includes two related models that have recently received special attention. This chapter also reviews heuristics and metaheuristics for finding near-optimal solutions for these problems, such as GRASP, Tabu Search, Genetic algorithms, Particle Swarm, and Ant Colony Optimization. We include pseudocodes of some of these methods.

Suggested Citation

  • Fernando Sandoya & Anna Martínez-Gavara & Ricardo Aceves & Abraham Duarte & Nilse Romero & Osvaldo Palma & Rafael Martí, 2025. "Diversity Optimization Models," Springer Books, in: Rafael Martí & Panos M. Pardalos & Mauricio G.C. Resende (ed.), Handbook of Heuristics, edition 0, chapter 40, pages 1269-1293, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-00385-0_61
    DOI: 10.1007/978-3-032-00385-0_61
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