Authors: Khodakaram Salimifard; Sara Bigharaz
Addresses: Computational Intelligence and Intelligent Optimization Research Group (CIIORG), Persian Gulf University, Bushehr 75168, Iran ' Computational Intelligence and Intelligent Optimization Research Group (CIIORG), Persian Gulf University, Bushehr 75168, Iran
Abstract: This paper presents a mathematical model for planning in public schools, considering the satisfaction of the total demand for education, fair students' access to schools, and the total travel distance. Given a set of schools, the aim of the model is to find an optimal allocation of students such that school should is available to each group of students. The model includes information about geographical prioritised access zones which should be covered by each school. The objective function essentially seeks to minimise the total distance travelled by students. We propose a multi-commodity programming model for solving this problem. The model is used to analyse the effects of different allocation policies on the fairness of student allocation to schools. Results show that a fair distribution of students of each social class to each school is obtained, while the total distance being travelled is minimised.
Keywords: student-to-school allocation; multi-commodity network flow; MCNF; geographical prioritisation; integer programming.
International Journal of Management and Decision Making, 2020 Vol.19 No.2, pp.157 - 175
Received: 15 Dec 2018
Accepted: 30 Mar 2019
Published online: 26 Jun 2020 *