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A Study in Using Linear Programming to Assign Students to Schools

Author

Listed:
  • Patrick McKeown

    (School of Business, State University of New York at Albany,)

  • Brian Workman

    (The First National City Bank, New York, New York)

Abstract

A great deal of recent work has been directed toward using mathematical programming to achieve racial balance in urban schools. However, with the ever increasing cost of fuel for buses, there also appears to be a need to apply these techniques in nonurban school districts to reduce the use of fuel. This paper describes a pilot study of the use of linear programming to design attendance areas in such a way that student-miles are minimized. Using data gathered in a nonurban school district, this LP formulation was tested using the UNIVAC LP package. The resulting computational results are presented and discussed.

Suggested Citation

  • Patrick McKeown & Brian Workman, 1976. "A Study in Using Linear Programming to Assign Students to Schools," Interfaces, INFORMS, vol. 6(4), pages 96-101, August.
    • Handle: RePEc:inm:orinte:v:6:y:1976:i:4:p:96-101
    DOI: 10.1287/inte.6.4.96
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    Cited by:

    1. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    2. 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.
    3. 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).
    4. 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.
    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. Guoqiang Shen & Zhangye Wang & Long Zhou & Yu Liu & Xiaoyi Yan, 2020. "Home-Based Locational Accessibility to Essential Urban Services: The Case of Wake County, North Carolina, USA," Sustainability, MDPI, vol. 12(21), pages 1-21, November.

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