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Computational Geometric Approaches to Equitable Districting: A Survey

In: Optimal Districting and Territory Design

Author

Listed:
  • Mehdi Behroozi

    (Northeastern University)

  • John Gunnar Carlsson

    (University of Southern California)

Abstract

Dividing a piece of land into sub-regions is a natural problem that belongs to many different domains within the world of operations research. There are many different tools that one can use to solve such problems, such as infinite-dimensional optimization, integer programming, or graph theoretic models. In this chapter, we summarize previous methods for solving districting problems that use computational geometry.

Suggested Citation

  • Mehdi Behroozi & John Gunnar Carlsson, 2020. "Computational Geometric Approaches to Equitable Districting: A Survey," International Series in Operations Research & Management Science, in: Roger Z. Ríos-Mercado (ed.), Optimal Districting and Territory Design, chapter 0, pages 57-74, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-34312-5_4
    DOI: 10.1007/978-3-030-34312-5_4
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    Cited by:

    1. Mayerle, Sérgio F. & Rodrigues, Hidelbrando F. & Neiva de Figueiredo, João & De Genaro Chiroli, Daiane M., 2022. "Optimal student/school/class/teacher/classroom matching to support efficient public school system resource allocation," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    2. Sandoval, M. Gabriela & Álvarez-Miranda, Eduardo & Pereira, Jordi & Ríos-Mercado, Roger Z. & Díaz, Juan A., 2022. "A novel districting design approach for on-time last-mile delivery: An application on an express postal company," Omega, Elsevier, vol. 113(C).

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