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Diversity and Equity Models

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Handbook of Heuristics

Abstract

The challenge of maximizing the diversity of a collection of points arises in a variety of settings, and the growing interest of dealing with diversity resulted in an effort to study the management of equity. While the terms diversity and dispersion can be found in many optimization problems indistinguishable, we undertake to explore the different models behind them.

In particular, this chapter describes the mathematical models for two diversity and three equity models. Additionally, we also review two related models that have recently received special attention. This chapter also reviews heuristics and metaheuristics for finding near-optimal solutions for these problems, where constructive and local search-based methods, such as greedy randomized adaptive search procedure (GRASP) and tabu search, play an important role.

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Acknowledgements

This research has been partially supported by the Ministerio de Economía y Competitividad of Spain (Grant Refs. TIN2012-35632-C02 and TIN2015-65460-C2), the Generalitat Valenciana (ACOMP/2014/A/241 and Prometeo 2013/049), and the University of Valencia (UV-INV-PRECOMP13-115334).

Author information

Authors and Affiliations

  1. Escuela Superior Politécnica del Litoral, Guayaquil, Ecuador

    Fernando Sandoya

  2. Departamento de Estadística e Investigación Operativa, Facultad de Matematicas, Universidad de Valencia, Valencia, Spain

    Anna Martínez-Gavara

  3. Department of Systems, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Ricardo Aceves

  4. Department of Ciencias de la Computación, Universidad Rey Juan Carlos, Móstoles (Madrid), Madrid, Spain

    Abraham Duarte

  5. Statistics and Operations Research Department, University of Valencia, Valencia, Spain

    Rafael Martí

Authors
  1. Fernando Sandoya
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  2. Anna Martínez-Gavara
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  3. Ricardo Aceves
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  4. Abraham Duarte
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  5. Rafael Martí
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Corresponding author

Correspondence to Rafael Martí .

Editor information

Editors and Affiliations

  1. Statistics and Operations Research Department, University of Valencia, Valencia, Spain

    Rafael Martí

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  3. Amazon.com, Inc. and University of Washington, Seattle, Washington, USA

    Mauricio G. C. Resende

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Sandoya, F., Martínez-Gavara, A., Aceves, R., Duarte, A., Martí, R. (2018). Diversity and Equity Models. In: Martí, R., Pardalos, P., Resende, M. (eds) Handbook of Heuristics. Springer, Cham. https://doi.org/10.1007/978-3-319-07124-4_61

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