IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v64y2018icp1-8.html
   My bibliography  Save this article

Assigning students to schools to minimize both transportation costs and socioeconomic variation between schools

Author

Listed:
  • Bouzarth, Elizabeth L.
  • Forrester, Richard
  • Hutson, Kevin R.
  • Reddoch, Lattie

Abstract

Several studies have found that students' academic achievement is as much determined by the socioeconomic composition of their school as their own socioeconomic status. In this paper we provide a methodology for assigning students to schools so as to balance the socioeconomic compositions of the schools while taking into consideration the total travel distance. Our technique utilizes a biobjective general 0–1 fractional program that is linearized into a mixed 0–1 linear program that can be submitted directly to a standard optimization package. We show how a parametrized model could be utilized to provide a spectrum of different possible assignments so that a decision maker can decide how to balance socioeconomic factors with transportation costs. As a test case for our approach we analyze data from the Greenville County School District in Greenville, South Carolina.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:soceps:v:64:y:2018:i:c:p:1-8
    DOI: 10.1016/j.seps.2017.09.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038012116301756
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.seps.2017.09.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Koenigsberg, Ernest, 1968. "Mathematical analysis applied to school attendance areas," Socio-Economic Planning Sciences, Elsevier, vol. 1(4), pages 465-475, August.
    2. Allen D. Franklin & Ernest Koenigsberg, 1973. "Computed School Assignments in a Large District," Operations Research, INFORMS, vol. 21(2), pages 413-426, April.
    3. Knutson, Dennis L. & Marquis, Linda M. & Ricchiute, David N. & Saunders, Gary J., 1980. "A goal programming model for achieving racial balance in public schools," Socio-Economic Planning Sciences, Elsevier, vol. 14(3), pages 109-116.
    4. 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.
    5. Sang M. Lee & Laurence J. Moore, 1977. "Multi-Criteria School Busing Models," Management Science, INFORMS, vol. 23(7), pages 703-715, March.
    6. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    7. Clarke, S. & Surkis, J., 1968. "An operations research approach to racial desegregation of school systems," Socio-Economic Planning Sciences, Elsevier, vol. 1(3), pages 259-272, July.
    8. 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.
    9. Malczewski, Jacek & Jackson, Marlene, 2000. "Multicriteria spatial allocation of educational resources: an overview," Socio-Economic Planning Sciences, Elsevier, vol. 34(3), pages 219-235, September.
    10. Peter J. B. Brown, 1987. "Trade‐Off And Compromise In Secondary School Reorganisation Schemes: A Goal Programming Approach," Papers in Regional Science, Wiley Blackwell, vol. 61(1), pages 115-130, January.
    11. 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.
    12. Saunders, Gary, 1981. "An application of goal programming to the desegregration busing problem," Socio-Economic Planning Sciences, Elsevier, vol. 15(6), pages 291-293.
    13. Heckman, Leila B. & Taylor, Howard M., 1969. "School rezoning to achieve racial balance: A linear programming approach," Socio-Economic Planning Sciences, Elsevier, vol. 3(2), pages 127-133, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dawei Mei & Chunliang Xiu & Xinghua Feng & Ye Wei, 2019. "Study of the School–Residence Spatial Relationship and the Characteristics of Travel-to-School Distance in Shenyang," Sustainability, MDPI, vol. 11(16), pages 1-15, August.
    2. Banerjee, Dipayan & Smilowitz, Karen, 2019. "Incorporating equity into the school bus scheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 228-246.
    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. Ansari, Azadeh & Farrokhvar, Leily & Kamali, Behrooz, 2021. "Integrated student to school assignment and school bus routing problem for special needs students," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    5. Cristina Lopes & Ana Maria Rodrigues & Valeria Romanciuc & José Soeiro Ferreira & Elif Göksu Öztürk & Cristina Oliveira, 2023. "Divide and Conquer: A Location-Allocation Approach to Sectorization," Mathematics, MDPI, vol. 11(11), pages 1-19, June.
    6. Liao, Cong & Scheuer, Bronte & Dai, Teqi & Tian, Yuan, 2020. "Optimizing the spatial assignment of schools to reduce both inequality of educational opportunity and potential opposition rate through introducing random mechanism into proximity-based system," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Malczewski, Jacek & Jackson, Marlene, 2000. "Multicriteria spatial allocation of educational resources: an overview," Socio-Economic Planning Sciences, Elsevier, vol. 34(3), pages 219-235, September.
    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. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    6. Wei, Ran & Feng, Xin & Rey, Sergio & Knaap, Elijah, 2022. "Reducing racial segregation of public school districts," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    7. Liao, Cong & Scheuer, Bronte & Dai, Teqi & Tian, Yuan, 2020. "Optimizing the spatial assignment of schools to reduce both inequality of educational opportunity and potential opposition rate through introducing random mechanism into proximity-based system," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).
    8. 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.
    9. Eric Delmelle & Jean-Claude Thill & Dominique Peeters & Isabelle Thomas, 2014. "A multi-period capacitated school location problem with modular equipment and closest assignment considerations," Journal of Geographical Systems, Springer, vol. 16(3), pages 263-286, July.
    10. Sven Müller & Knut Haase & Sascha Kless, 2009. "A Multiperiod School Location Planning Approach with Free School Choice," Environment and Planning A, , vol. 41(12), pages 2929-2945, December.
    11. Itai Ashlagi & Peng Shi, 2016. "Optimal Allocation Without Money: An Engineering Approach," Management Science, INFORMS, vol. 62(4), pages 1078-1097, April.
    12. Bruno, Giuseppe & Esposito, Emilio & Genovese, Andrea & Piccolo, Carmela, 2016. "Institutions and facility mergers in the Italian education system: Models and case studies," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 23-32.
    13. Jorge Amaya & Dominique Peeters & Paula Uribe & Juan P. Valenzuela, 2016. "Optimization Modeling for Resource Allocation in the Chilean Public Education System," International Regional Science Review, , vol. 39(2), pages 155-176, April.
    14. Banai, Reza, 2010. "Evaluation of land use-transportation systems with the Analytic Network Process," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 3(1), pages 85-112.
    15. Fatih Yiğit & Şakir Esnaf, 2021. "A new Fuzzy C-Means and AHP-based three-phased approach for multiple criteria ABC inventory classification," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1517-1528, August.
    16. Rachele Corticelli & Margherita Pazzini & Cecilia Mazzoli & Claudio Lantieri & Annarita Ferrante & Valeria Vignali, 2022. "Urban Regeneration and Soft Mobility: The Case Study of the Rimini Canal Port in Italy," Sustainability, MDPI, vol. 14(21), pages 1-27, November.
    17. Lin, Sheng-Hau & Zhao, Xiaofeng & Wu, Jiuxing & Liang, Fachao & Li, Jia-Hsuan & Lai, Ren-Ji & Hsieh, Jing-Chzi & Tzeng, Gwo-Hshiung, 2021. "An evaluation framework for developing green infrastructure by using a new hybrid multiple attribute decision-making model for promoting environmental sustainability," Socio-Economic Planning Sciences, Elsevier, vol. 75(C).
    18. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    19. Seung-Jin Han & Won-Jae Lee & So-Hee Kim & Sang-Hoon Yoon & Hyunwoong Pyun, 2022. "Assessing Expected Long-term Benefits for the Olympic Games: Delphi-AHP Approach from Korean Olympic Experts," SAGE Open, , vol. 12(4), pages 21582440221, December.
    20. Denys Yemshanov & Frank H. Koch & Yakov Ben‐Haim & Marla Downing & Frank Sapio & Marty Siltanen, 2013. "A New Multicriteria Risk Mapping Approach Based on a Multiattribute Frontier Concept," Risk Analysis, John Wiley & Sons, vol. 33(9), pages 1694-1709, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:soceps:v:64:y:2018:i:c:p:1-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/seps .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.