A Mathematical Optimization Model for Maintenance Planning of School Buildings

Mehdi Zandiyehvakili,Alireza Lork,Babak Aminnejad

doi:10.32604/iasc.2022.021461

Mehdi Zandiyehvakili, Alireza Lork + Show 1 more

Open Access

https://doi.org/10.32604/iasc.2022.021461

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Abstract

This article presents a methodology to optimize the maintenance planning model and minimize the total maintenance costs of a typical school building. It makes an effort to provide a maintenance schedule, focusing on maintenance costs. In the allocation of operations to the school equipment, the parameter of its age was also taken into account. A mathematical optimization model to minimize the school maintenance cost in a three-year period was provided in the GAMS software with CPLEX solver. Finally, the optimum architecture of the Perceptron multi-layer neural network was used to predict the schedule of equipment operations and maintenance costs. The Multi-layer Perceptron (MLP) optimum neural network results, with minor Mean Squared Error (MSE) and Root Mean Squared Error (RMSE), indicated that the proposed model was capable of predicting the schools’ maintenance costs with high accuracy. According to the results, the school's maintenance cost for the intended three-year period based on the Weibull distribution was equal to 15361 currency units per hour, in which the “heating and cooling system” has the highest contribution. Hence, accurate and definite planning can prevent damages to such equipment, while saving the school's maintenance costs.

Highlights

Maintenance of educational building assets is an important tool for the wellness of students and other users, and for school life cycle maximization and minimization of maintenance costs [1]
A mathematical optimization model to minimize the school maintenance cost in a three-year period was provided in the GAMS software with CPLEX solver
According to the schedule suggested for the equipment, the school's maintenance cost for the intended three-year period is equal to 15361 currency units per hour

Summary

Introduction

Maintenance of educational building assets is an important tool for the wellness of students and other users, and for school life cycle maximization and minimization of maintenance costs [1]. It takes a continuous operation to keep the school buildings, furniture, and equipment in the best form for normal use [2,3,4,5,6,7,8]. The integrated production and maintenance planning models have been seriously studied since the early 80 s. The non-periodic maintenance in integrated models has been less studied since, in such conditions, the solution is tough, and usually, the branch and bound method is used to solve it. The maintenance and repair can be defined as the following: A combination of activities conducted and in a usual planned way to prevent the sudden failure of machinery, equipment, and facilities is called maintenance [10,11,12,13]. The repair includes a set of activities performed on a system or tool that has failed or been disabled to return it to the ready-for-operation mode and prepare it to conduct its duties [13]

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