School location and capacity modification considering the existence of externalities in students school choice |
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| Affiliation: | 1. ESSEC Business School, 3 Av. Bernard Hirsch, B.P. 50105, Cergy Pontoise Cedex 95021, France;2. Faculty of Engineering and Sciences, Universidad Adolfo Ibáñez, Avda. Diagonal Las Torres 2640, Peñalolen 7941169, Santiago, Chile;1. Institute of Transport and Logistics Studies, The University of Sydney Business School, Australia;2. School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, China |
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| Abstract: | Geographic and socioeconomic characteristics of rural zones in Chile have made schools located in these areas present inefficiencies such long travel times and multi-degree courses1 that affect the academic performance of their students. In this paper, a model of location and modification of school capacity is presented as an alternative to reduce these inequalities. In Chile a student school choice is a process that depends not only on the time and income constraints but also on the decisions made by other students (segregation). This behavior is modeled using a microeconomic approach; thereby a constrained multinomial logit discrete choice model is derived. By incorporating the student’s school choice in an optimization model, it becomes nonlinear. A Tabu Search metaheuristic is proposed, which unlike other implementations requires solving a fixed point system of equations to evaluate each solution. A computing experience for instances of 10 and 45 zones is developed; in the first the quality of the solution is evaluated compared to the optimum obtained by enumeration and in the second different scenarios are analyzed. |
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| Keywords: | School location School capacity Constrained logit Tabu search Externalities |
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