A mathematical optimization model for allocating physical spaces to academic requirements
Purpose: The problem of allocating space to academic needs is one of the complex optimization issues that distributes a limited set of educational and research needs to a set of resources with a set of constraints. Due to the complexity of this problem, several techniques based on innovative methods...
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Language: | fas |
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Ayandegan Institute of Higher Education, Tonekabon,
2023-09-01
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Series: | تصمیم گیری و تحقیق در عملیات |
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Online Access: | https://www.journal-dmor.ir/article_157731_7c8f9181412a1223f41182f80ee5a74d.pdf |
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author | Zeynab Rashidi Zahra Rashidi |
author_facet | Zeynab Rashidi Zahra Rashidi |
author_sort | Zeynab Rashidi |
collection | DOAJ |
description | Purpose: The problem of allocating space to academic needs is one of the complex optimization issues that distributes a limited set of educational and research needs to a set of resources with a set of constraints. Due to the complexity of this problem, several techniques based on innovative methods have been proposed. In this paper, a mathematical model of integer programming is presented to formulate this problem.Methodology: To solve the model, the gradient descent method is used and its parameters are adjusted. To evaluate the proposed model and solution, the data and facilities of one of the fledgling faculties at Allameh Tabatabai University in Tehran are tested. There are 11 requirements and 18 allocable spaces in this faculty and therefore there are 198 binary decision variables, in the model. In experiments, several scenarios are created and the results of each scenario are compared.Findings: The proposed model and solution is a general method and can be used for other faculties and universities that face space constraints.Originality/Value: In this article, a mathematical model was presented to formulate the problem of allocating space, which is one of the important decision-making issues for organizations and research educational institutions. |
format | Article |
id | doaj-art-82e648a58c55414881956795c6ede6e1 |
institution | Kabale University |
issn | 2538-5097 2676-6159 |
language | fas |
publishDate | 2023-09-01 |
publisher | Ayandegan Institute of Higher Education, Tonekabon, |
record_format | Article |
series | تصمیم گیری و تحقیق در عملیات |
spelling | doaj-art-82e648a58c55414881956795c6ede6e12025-01-30T15:03:27ZfasAyandegan Institute of Higher Education, Tonekabon,تصمیم گیری و تحقیق در عملیات2538-50972676-61592023-09-018360962210.22105/dmor.2022.328065.1563157731A mathematical optimization model for allocating physical spaces to academic requirementsZeynab Rashidi0Zahra Rashidi1Department of Instructional Technology, Faculty of Psychology and Education, Allameh Tabataba'i University, Tehran, Iran.Department of Computer Engineering, School of Computer Engineering, Iran University of Science and Technology, Tehran, Iran.Purpose: The problem of allocating space to academic needs is one of the complex optimization issues that distributes a limited set of educational and research needs to a set of resources with a set of constraints. Due to the complexity of this problem, several techniques based on innovative methods have been proposed. In this paper, a mathematical model of integer programming is presented to formulate this problem.Methodology: To solve the model, the gradient descent method is used and its parameters are adjusted. To evaluate the proposed model and solution, the data and facilities of one of the fledgling faculties at Allameh Tabatabai University in Tehran are tested. There are 11 requirements and 18 allocable spaces in this faculty and therefore there are 198 binary decision variables, in the model. In experiments, several scenarios are created and the results of each scenario are compared.Findings: The proposed model and solution is a general method and can be used for other faculties and universities that face space constraints.Originality/Value: In this article, a mathematical model was presented to formulate the problem of allocating space, which is one of the important decision-making issues for organizations and research educational institutions.https://www.journal-dmor.ir/article_157731_7c8f9181412a1223f41182f80ee5a74d.pdfeducational space needsmathematical optimizationresearch space needsspace |
spellingShingle | Zeynab Rashidi Zahra Rashidi A mathematical optimization model for allocating physical spaces to academic requirements تصمیم گیری و تحقیق در عملیات educational space needs mathematical optimization research space needs space |
title | A mathematical optimization model for allocating physical spaces to academic requirements |
title_full | A mathematical optimization model for allocating physical spaces to academic requirements |
title_fullStr | A mathematical optimization model for allocating physical spaces to academic requirements |
title_full_unstemmed | A mathematical optimization model for allocating physical spaces to academic requirements |
title_short | A mathematical optimization model for allocating physical spaces to academic requirements |
title_sort | mathematical optimization model for allocating physical spaces to academic requirements |
topic | educational space needs mathematical optimization research space needs space |
url | https://www.journal-dmor.ir/article_157731_7c8f9181412a1223f41182f80ee5a74d.pdf |
work_keys_str_mv | AT zeynabrashidi amathematicaloptimizationmodelforallocatingphysicalspacestoacademicrequirements AT zahrarashidi amathematicaloptimizationmodelforallocatingphysicalspacestoacademicrequirements AT zeynabrashidi mathematicaloptimizationmodelforallocatingphysicalspacestoacademicrequirements AT zahrarashidi mathematicaloptimizationmodelforallocatingphysicalspacestoacademicrequirements |