A Review on School Network Problem with Zone Dependent Fixed Cost and Inventory Cost

Abstract

When it comes to avoiding or contributing to a students’ decision to go to school, school distance can play a significant role. Long commutes to and from school can raise the opportunity costs of education and provide safety and security risks, particularly for female students. When compared to other types of location issues (e.g., facility location problem, location, and allocation problem), the school location model is one of the most important research efforts in the location analysis area. The location-allocation problem (LAP) has received a lot of attention in the facility location sector. The Weber issue is well-known for the LAP in continual plane. This article evaluated the problem by taking capacity limits and fixed costs into account, as every centre has a separate setup cost along with a capacity limit to service consumers. Previous research looked at lucrative places by splitting continuous space into a definite number of equal cells and then selecting the best site from a smaller range of potential spots. Inevitably, it can contribute to avoiding suitable places because unproductive regions are still considered when establishing facilities. As a result, transportation expenses might be significantly increased. In addition, alternative school network redesign methods and mathematical programming models do consider school consolidation, deletion, and addition. To optimize cost, the model should consider the development, closure, and amalgamation of a new school. The objective of this research is to develop a multi-start simulated annealing approach specifically tailored for the school network problem with zone-dependent fixed costs and inventory costs. In addition to addressing the allocation problem, this research also incorporates the consideration of zone-dependent fixed costs and inventory costs. Furthermore, inventory costs, incurred when schools are kept in specific zones, are accounted for to provide a comprehensive optimization solution. By developing a multi-start simulated annealing approach for the school network problem with zone-dependent fixed costs and inventory costs, this research aims to provide school administrators and policymakers with a valuable decision-making tool. The research also considered in the model to regulate the number of pupils that must be present in a school, allowing the model to mirror the real scenario more precisely. Finally, this research will be able to identify the best techniques for school network redesign issues.