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A Multiperiod School Location Planning Approach with Free School Choice

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  • Sven Müller
  • Knut Haase
  • Sascha Kless

Abstract

The subject of this paper is a new approach to multiperiod school location planning in urban areas. Most of the existing approaches in the field do not consider free school choice nor are they able to consider substitution effects between school locations. We minimize the location and transport costs with respect to students choosing the school with the highest utility. Since these school choice probabilities (determined by a mixed multinominal logit model) depend on the available schools, we have to consider two steps. First, we generate for each period a set of scenarios indicating which school is open and which is not. For each scenario we allocate the students to available schools according to capacity and utility. Second, we select for each period one scenario in order to minimize total costs. Problems with a long planning horizon and a large number of demand points are solvable. We apply this approach to schools of the City of Dresden, Germany.

Suggested Citation

  • 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.
  • Handle: RePEc:sae:envira:v:41:y:2009:i:12:p:2929-2945
    DOI: 10.1068/a40285
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    References listed on IDEAS

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    Cited by:

    1. Ljubić, Ivana & Moreno, Eduardo, 2018. "Outer approximation and submodular cuts for maximum capture facility location problems with random utilities," European Journal of Operational Research, Elsevier, vol. 266(1), pages 46-56.
    2. Haase, Knut & Müller, Sven, 2013. "Management of school locations allowing for free school choice," Omega, Elsevier, vol. 41(5), pages 847-855.

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