Evaluation of university libraries using a multi-stage non-parametric model
DOI:
https://doi.org/10.26512/rici.v18.n2.2025.53609Keywords:
Library management, Evaluation, Mathematical models, Academic librariesAbstract
The present work aims to evaluate the efficiency of a set of university libraries belonging to a Brazilian federal higher education institution using Data Envelopment Analysis (DEA). In order to prevent the internal stages of resource processing in services from being neglected, we chose to use a multi-stage method known as Network DEA (NDEA). Thus, to obtain efficiency indices in the two internal stages and consequently the verification of the overall efficiency index, seven variables were used: three exogenous inputs, one intermediate variable, and three exogenous outputs. The results showed that the libraries located in inland cities obtained greater efficiencies in the first stage because they are smaller and generally offer their services in the number of hours near the larger libraries. It was also possible to identify the best performing libraries in the second stage and those that performed well in both evaluation stages. For better visualization of the results, we developed a bi-dimensional representation of the results. It was noticed that in future works the evaluation can be expanded, being analyzed libraries belonging to different institutions and different countries.
References
Bana e Costa, Carlos A; Soares de Mello, João Carlos C.B.; Angulo Meza, Lídia. A new approach to the bi-dimensional representation of the DEA efficient frontier with multiple inputs and outputs. European Journal of Operational Research, v. 255, p. 175-186, 2016.
Banker, R. D.; Charnes, A.; Cooper, W. W. Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis. Management Science, v. 30, p. 1078-1092, 1984. https://doi.org/10.1287/mnsc.30.9.1078
Bernardo, Marcella; Souza, Matheus Alves Madeira de, Lopes, Ramon Sávio Moreira, RODRIGUES, Lásara Fabrícia. University library performance management: Applying zero-sum gains DEA models to resource allocation. Socio-Economic Planning Sciences, 100808, 2020. DOI:10.1016/j.seps.2020.100808
Carvalho, Frederico A.; Jorge, Marcelino José; Jorge, Marina Filgueiras; Russo, Mariza; SÁ, Nysia Oliveira de. Library performance management in Rio de Janeiro, Brazil: applying DEA to a sample of university libraries in 2006-2007. Library Management, v. 33, n. 4/5, p. 297-306, 2012. DOI: 10.1108/01435121211242335
Charnes, A.; Cooper, W. W.; Rhodes, E. Measuring the efficiency of decision making units. European Journal of Operational Research, v. 2, p. 429-444, 1978. DOI: 10.1016/0377-2217(78)90138-8
Chen, Yao; Cook, Wade D.; Zhu, Joe. Deriving the DEA frontier for two-stage processes. European Journal of Operational Research, v. 202, p. 138-142, 2010.
Chen, Yao; Cook, Wade D; Kao, Chiang; Zhu, Joe. Network DEA pitfalls: Divisional efficiency and frontier projection under general network structures. European Journal of Operational Research, v. 226, p. 507-515, 2013. https://doi.org/10.1016/j.ejor.2012.11.021
Del Barrio-Tellado, María José; Gómez-Vega, Mafalda; Gómez-Zapata, Jonathan Daniel; Herrero-Prieto, Luis César. Urban public libraries: Performance analysis using dynamic-network-DEA. Socio-Economic Planning Sciences, v. 74(C), 100928, 2021. DOI: 10.1016/j.seps.2020.100928
Enweani, Uchechukw Victoria Victoria. Challenges of Managing University Libraries in Contemporary Digital Environment. Library Philosophy and Practice (e-journal), 2073, 2018.
Färe, Rolf; Grosskopf, Shawna. Network DEA. Socio-Economic Planning Sciences, v. 34, p. 35-49, 2000. https://doi.org/10.1016/S0038-0121(99)00012-9
Färe, Rolf; Grosskopf, Shawna; Whittaker, Gerald. Network DEA. In: Zhu, Joe; Cook, Wade D. (Ed.). Modeling DATA Irregularities and Structural Complexities in Data Envelopment Analysis. USA: Springer, 2007. p. 209–240.
Ferraz, Diogo; Mariano, Enzio Barberio; Manzine, Patrícia Regina; Moralles, Herick Fernando; Morceiro, Paulo César; Torres, Bruno Guimarães; Almeida, Mariana Rodrigues de; Soares de Mello, João Carlos Correia Baptista; Rebelatto, D. A. do Nascimento. COVID Health Structure Index: The Vulnerability of Brazilian Microregions. Social Indicators Research, v. 158, n. 1, p. 197-215, 2021.
Golany, B; Roll, Y. An application procedure for DEA. Omega, v. 17, n. 3, p. 237-250, 1989.
Kao, Chiang. Efficiency decomposition in network data envelopment analysis: A relational model. European Journal of Operational Research, v. 192, p. 949-962, 2009.
Kao, Chiang. Network data envelopment analysis: A review. European Journal of Operational Research, v. 239, p. 1-16, 2014. DOI: 10.1016/j.ejor.2014.02.039
MahmoudI, Reza; Emrouznejad, Ali; Rasti-Barzoki, Morteza. A bargaining game model for performance assessment in network DEA considering sub-networks: a real case study in banking. Neural Computing and Applications, v. 31, p. 6429-6447, 2019. DOI: 10.1007/s00521-018-3428-y
Maia, Luiz Cláudio; Santos, Maria de Souza Lima. Gestão da biblioteca universitária: análise com base nos indicadores de avaliação do MEC. Perspectivas em Ciência da Informação, v. 20, n. 2, p. 100-119, 2015. DOI: 10.1590/1981-5344/2079.
Mariano, Enzo; Torres, Bruno; Almeida, Mariana; Ferraz, Diogo; Rebelatto, Daisy; Soares de Mello, João Carlos. Brazilian states in the context of COVID-19 pandemic: an index proposition using Network Data Envelopment Analysis. IEEE Latin America Transactions, v. 19, p. 917-924, 2021.
Najafi, Ali; Sefiddashti, Sara Emamgholipour; Sheikhshoaei, Fatemeh; Hajiagha, Seyed Hossein Razavi; MasoumI, Davoud. DEA-based Performance Evaluation of Libraries: A Systematic Mapping study. Investigación Bibliotecológica: archivonomía bibliotecología e información, v. 34, n. 85, p. 227-251, 2020. DOI: 10.22201/iibi.24488321xe.2020.85.58159
Reichmann, Gerhard; Sommersguter-Reichmann, Margit. University library benchmarking: An international comparison using DEA. International Journal of Production Economics, v. 100, n. 1, p. 131-147, Mar. 2006.
Shahwan, Tamer Mohamed; Kaba, Abdoulaye. Efficiency analysis of GCC academic libraries: application of data envelopment analysis. Performance Measurement and Metrics, v. 14, n. 3, p. 197-210, 2013. DOI: 10.1108/pmm-07-2013-0023
Stroobants, Jesse; Bouckaert, Geert. Benchmarking local public libraries using non-parametric frontier methods: a case study of Flanders. Library & Information Science Research, v. 36, p. 211-224, 2014. DOI: 10.1016/j.lisr.2014.06.002
Tavares, Rafael Santos; Angulo-Meza, Lídia; Sant’Anna, Annibal Parracho. A proposed multistage evaluation approach for Higher Education Institutions based on network Data envelopment analysis: A Brazilian experience. Evaluation and Program Planning, v. 89, p. 101984, 2021. DOI: 10.1016/j.evalprogplan.2021.101984
Tavares, Rafael Santos; Drumond, Geisa Meirelles; Angulo Meza, Lídia; Méxas, Mirian Picinini. Aplicação da metodologia DEA na avaliação de eficiência de bibliotecas universitárias de uma Instituição Federal de Ensino Superior. In: SIMPÓSIO BRASILEIRO DE PESQUISA OPERACIONAL, 49., 2017, Blumenau. Anais [...]. Blumenau, SC: SOBRAPO, 2017.
Tavares, Rafael Santos; Drumond, Geisa Meirelles; Angulo Meza, Lídia; Méxas, Mirian Picinini. Efficiency assessment in university libraries. Transinformação, v. 30, n. 1, p. 65-79, 2018. DOI: 10.1590/2318-08892018000100006
Torres, Bruno Guimarães; Soares de Mello, João Carlos Correia Baptista; Almeida, Mariana Rodrigues de. Representação Bidimensional do Network DEA: Um estudo de caso com avaliação de docentes. In: SIMPÓSIO BRASILEIRO DE PESQUISA OPERACIONAL, 49., 2017, Blumenau. Anais [...]. Blumenau, SC: SOBRAPO, 2017.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Rafael Santos Tavares, Geisa Meirelles Drumond, Bruno Guimarães Torres, Lidia Angulo Meza, Mirian Picinini Méxas

This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright Notice
Authors who publish in this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under the Creative Commons Attribution License 4.0, allowing the sharing of work and recognition of the work of authorship and initial publication in this journal.
- Authors are able to take on additional contracts separately, non-exclusive distribution of the version of the paper published in this journal (ex.: distribute to an institutional repository or publish as a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to distribute their work online (eg.: in institutional repositories or on their website) at any point before or during the editorial process, as it can lead to productive exchanges, as well as increase the impact and citation the published work.













