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A Network-Flow Model for Racially Balancing Schools

Author

Listed:
  • Peter C. Belford

    (University of Florida, Gainesville, Florida)

  • H. Donald Ratliff

    (University of Florida, Gainesville, Florida)

Abstract

This paper is concerned with developing a procedure for assigning students to public schools optimally, given that a specified racial balance must be attained in each school. The criterion for optimality is to minimize the total number of miles traveled. The problem is formulated as a minimum-cost flow problem in a single-commodity network. A summary of the results achieved by the model for the Gainesville, Florida, school system is discussed.

Suggested Citation

  • Peter C. Belford & H. Donald Ratliff, 1972. "A Network-Flow Model for Racially Balancing Schools," Operations Research, INFORMS, vol. 20(3), pages 619-628, June.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:3:p:619-628
    DOI: 10.1287/opre.20.3.619
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    Citations

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    Cited by:

    1. Yamada, Takeo & Nasu, Yasushi, 2000. "Heuristic and exact algorithms for the simultaneous assignment problem," European Journal of Operational Research, Elsevier, vol. 123(3), pages 531-542, June.
    2. Elizondo, Rodolpho & Andrew Boyd, E. & Beauregard, Maxwell, 1997. "Evaluating school facility capacity and attendance boundaries using a large-scale assignment algorithm," Economics of Education Review, Elsevier, vol. 16(2), pages 155-161, April.
    3. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    4. Han, Jialin & Hu, Yaoguang & Mao, Mingsong & Wan, Shuping, 2020. "A multi-objective districting problem applied to agricultural machinery maintenance service network," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1120-1130.
    5. Bouzarth, Elizabeth L. & Forrester, Richard & Hutson, Kevin R. & Reddoch, Lattie, 2018. "Assigning students to schools to minimize both transportation costs and socioeconomic variation between schools," Socio-Economic Planning Sciences, Elsevier, vol. 64(C), pages 1-8.
    6. Lemberg, David S. & Church, Richard L., 2000. "The school boundary stability problem over time," Socio-Economic Planning Sciences, Elsevier, vol. 34(3), pages 159-176, September.
    7. Wei, Ran & Feng, Xin & Rey, Sergio & Knaap, Elijah, 2022. "Reducing racial segregation of public school districts," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    8. F Caro & T Shirabe & M Guignard & A Weintraub, 2004. "School redistricting: embedding GIS tools with integer programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(8), pages 836-849, August.
    9. 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).

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