A mathematical programming tool for an efficient decision-making on teaching assignment under non-regular time schedules

In this paper, an optimization tool based on a MILP model to support the teaching assignment process is proposed. It considers not only hierarchical issues among lecturers but also their preferences to teach a particular subject, the non-regular time schedules throughout the academic year, different...

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Vydáno v:	Operational research Ročník 22; číslo 3; s. 2899 - 2942
Hlavní autoři:	Cutillas, P. Solano, Pérez-Perales, D., Díaz, M. M. E. Alemany
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022 Springer Nature B.V
Témata:	Business and Management Computational Intelligence Decision making Heterogeneity Literature reviews Management Science Mathematical analysis Mathematical programming Operations Research Operations Research/Decision Theory Optimization Original Paper Schedules Teaching Time compatibility Teaching assignment problem Type of credits Mixed integer linear programming Non-regular schedules
ISSN:	1109-2858, 1866-1505
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Abstract	In this paper, an optimization tool based on a MILP model to support the teaching assignment process is proposed. It considers not only hierarchical issues among lecturers but also their preferences to teach a particular subject, the non-regular time schedules throughout the academic year, different type of credits, number of groups and other specific characteristics. Besides, it adds restrictions based on the time compatibility among the different subjects, the lecturers’ availability, the maximum number of subjects per lecturer, the maximum number of lecturers per subject as well as the maximum and minimum saturation level for each lecturer, all of them in order to increase the teaching quality. Schedules heterogeneity and other features regarding the operation of some universities justify the usefulness of this model since no study that deals with all of them has been found in the literature review. Model validation has been performed with two real data sets collected from one academic year schedule at the Spanish University Universitat Politècnica de València.
AbstractList	In this paper, an optimization tool based on a MILP model to support the teaching assignment process is proposed. It considers not only hierarchical issues among lecturers but also their preferences to teach a particular subject, the non-regular time schedules throughout the academic year, different type of credits, number of groups and other specific characteristics. Besides, it adds restrictions based on the time compatibility among the different subjects, the lecturers’ availability, the maximum number of subjects per lecturer, the maximum number of lecturers per subject as well as the maximum and minimum saturation level for each lecturer, all of them in order to increase the teaching quality. Schedules heterogeneity and other features regarding the operation of some universities justify the usefulness of this model since no study that deals with all of them has been found in the literature review. Model validation has been performed with two real data sets collected from one academic year schedule at the Spanish University Universitat Politècnica de València.
Author	Cutillas, P. Solano Pérez-Perales, D. Díaz, M. M. E. Alemany
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Cites_doi	10.1016/j.ejor.2019.08.001 10.1007/s10479-014-1688-1 10.1016/j.cor.2013.08.025 10.1007/s10951-014-0405-x 10.1016/j.ejor.2003.06.023 10.1016/j.ejor.2016.07.002 10.1016/S0305-0548(97)00048-8 10.1016/j.ejor.2005.01.052 10.1007/978-3-642-39304-4_4 10.1007/s11750-015-0366-z 10.1016/j.ejor.2017.03.020 10.1016/S0377-2217(03)00103-6 10.1007/s10479-014-1553-2 10.1007/s10479-013-1358-8 10.1016/j.cie.2014.11.010 10.1080/01605682.2018.1557022 10.1016/j.mcm.2007.03.012 10.1016/S0377-2217(96)00082-3 10.1016/S0377-2217(02)00069-3 10.1016/j.asoc.2016.10.038 10.1016/0377-2217(95)00204-9 10.1016/j.asoc.2012.05.029 10.1016/j.cor.2015.02.011 10.3390/a8030723 10.1007/s10479-010-0709-y 10.1023/A:1006576209967 10.1007/s10951-008-0088-2 10.1016/S0377-2217(00)00052-7 10.1016/j.eswa.2020.113943
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Snippet	In this paper, an optimization tool based on a MILP model to support the teaching assignment process is proposed. It considers not only hierarchical issues...
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SubjectTerms	Business and Management Computational Intelligence Decision making Heterogeneity Literature reviews Management Science Mathematical analysis Mathematical programming Operations Research Operations Research/Decision Theory Optimization Original Paper Schedules Teaching
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Title	A mathematical programming tool for an efficient decision-making on teaching assignment under non-regular time schedules
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