Annals of Operations Research

, Volume 221, Issue 1, pp 273–283 | Cite as

On centralized resource utilization and its reallocation by using DEA

  • Cecilio Mar-Molinero
  • Diego PriorEmail author
  • Maria-Manuela Segovia
  • Fabiola Portillo


The standard DEA model allows different DMU units to set their own priorities for the inputs and outputs that form part of the efficiency assessment. In the case of a centralized organization with many outlets, such as an education authority that is responsible for many schools, it may be more sensible to operate in the most efficient way, but under a common set of priorities for all DMUs. The algorithm that is used to do this, the centralized resource allocation model, does just this. We show that the centralized resource allocation model can be substantially simplified and we interpret the simplifications and show how the model works using real data of Spanish public schools. Apart from finding the best way to reallocate resource among the schools, it is shown that the most desirable operating unit is found to be a by-product of the estimation. This is useful information when planning new schools.


DEA Production planning Efficiency 


  1. Asmild, M., Paradi, J. C., & Pastor, J. T. (2009). Centralized resource allocation BCC models. Omega the International Journal of Management Science, 37, 40–49. CrossRefGoogle Scholar
  2. Athanassopoulos, A. D. (1995). Goal programming & data envelopment analysis (GoDEA) for target-based multi-level planning: allocating central grants to the Greek local authorities. European Journal of Operational Research, 87, 535–550. CrossRefGoogle Scholar
  3. Färe, R., & Primont, D. (1995). Multi-output production and duality: theory and applications. Dordrecht: Kluwer Academic. CrossRefGoogle Scholar
  4. Färe, R., Grosskopf, S., Kerstens, K., Kirkley, J. E., & Squires, D. (2000). Assessing short-run and medium-run fishing capacity at the industry level and its reallocation. In Microbehavior and macroresults: proceedings of the tenth biennial conference of the international institute of fisheries economics and trade (IIFET), July 10–14, 2000, Corvallis, Oregon, USA. Google Scholar
  5. Gimenez-Garcia, V. M., Martınez-Parra, J. L., & Buffa, F. P. (2007). Improving resource utilization in multi-unit networked organizations: the case of a Spanish restaurant chain. Tourism Management, 28, 262–270. CrossRefGoogle Scholar
  6. Johnson, A. L., & Ruggiero, J. (2011). Nonparametric measurement of productivity and efficiency in education. Annals of Operations Research. doi: 10.1007/s10479-011-0880-9. Google Scholar
  7. Kaplan, R. S., & Atkinson, A. A. (1998). Advanced management accounting (3rd edn.). Englewood Cliffs: Prentice Hall International. Google Scholar
  8. Li, S.-K., & Ng, Y. Ch. (1995). Measuring the productive efficiency of a group of firms. International Advances in Economic Research, 1(4), 377–390. CrossRefGoogle Scholar
  9. Lozano, S., & Villa, G. (2004). Centralized resource allocation using data envelopment analysis. Journal of Productivity Analysis, 22, 143–161. CrossRefGoogle Scholar
  10. Lozano, S., & Villa, G. (2005). Centralized DEA models with the possibility of downsizing. The Journal of the Operational Research Society, 56, 357–364. CrossRefGoogle Scholar
  11. Nesterenko, V., & Zelenyuk, V. (2007). Measuring potential gains from reallocation of resources. Journal of Productivity Analysis, 28, 107–116. CrossRefGoogle Scholar
  12. Ouellette, P., & Vierstraete, V. (2010). Malmquist indexes with quasi-fixed inputs: an application to school districts in Québec. Annals of Operations Research, 173(1), 57–76. CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Cecilio Mar-Molinero
    • 1
  • Diego Prior
    • 2
    Email author
  • Maria-Manuela Segovia
    • 3
  • Fabiola Portillo
    • 4
  1. 1.Kent Business School and Universitat Autonoma de BarcelonaBarcelonaSpain
  2. 2.Universitat Autonoma de Barcelona and IESEG School of ManagementBarcelonaSpain
  3. 3.Universidad Pablo de OlavideSevilleSpain
  4. 4.University of La RiojaLogroñoSpain

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