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The Adjusted Spherical Frontier Model with weight restrictions

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  • Silva, Rodrigo Cesar
  • Milioni, Armando Zeferino

Abstract

This paper presents the ASFM-lp model, a parametric Data Envelopment Analysis (DEA) model for allocating resources, commonly called inputs. This model considers that a fair allocation of inputs is one that maximizes the DEA-CCR efficiencies of the Decision Making Units (DMUs). The main assumption of the ASFM-lp is the predefined spherical shape of the efficiency frontier. We have demonstrated that our method extends the existing parametric model ASFM to allow the introduction of weight restrictions, which has great importance in practical applications of DEA. Numeric examples are presented to show the application of the method.

Suggested Citation

  • Silva, Rodrigo Cesar & Milioni, Armando Zeferino, 2012. "The Adjusted Spherical Frontier Model with weight restrictions," European Journal of Operational Research, Elsevier, vol. 220(3), pages 729-735.
    • Handle: RePEc:eee:ejores:v:220:y:2012:i:3:p:729-735
    DOI: 10.1016/j.ejor.2012.01.064
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    References listed on IDEAS

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    1. Cook, Wade D. & Kress, Moshe, 1999. "Characterizing an equitable allocation of shared costs: A DEA approach," European Journal of Operational Research, Elsevier, vol. 119(3), pages 652-661, December.
    2. Beasley, J. E., 2003. "Allocating fixed costs and resources via data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 147(1), pages 198-216, May.
    3. Milioni, Armando Zeferino & de Avellar, José Virgílio Guedes & Gomes, Eliane Gonçalves & Soares de Mello, João Carlos Correia Baptista, 2011. "An ellipsoidal frontier model: Allocating input via parametric DEA," European Journal of Operational Research, Elsevier, vol. 209(2), pages 113-121, March.
    4. S Lozano & G Villa, 2005. "Centralized DEA models with the possibility of downsizing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 357-364, April.
    5. Lidia Angulo-Meza & Marcos Lins, 2002. "Review of Methods for Increasing Discrimination in Data Envelopment Analysis," Annals of Operations Research, Springer, vol. 116(1), pages 225-242, October.
    6. Sebastián Lozano & Gabriel Villa, 2004. "Centralized Resource Allocation Using Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 22(1), pages 143-161, July.
    7. Charnes, A. & Cooper, W. W. & Huang, Z. M. & Sun, D. B., 1990. "Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 73-91.
    8. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    9. E C C Guedes & A Z Milioni & J V G de Avellar & R C Silva, 2012. "Adjusted spherical frontier model: allocating input via parametric DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(3), pages 406-417, March.
    10. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    11. E G Gomes & M P E Lins, 2008. "Modelling undesirable outputs with zero sum gains data envelopment analysis models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 616-623, May.
    12. Francisco Pedraja-Chaparro & Javier Salinas-Jimenez & Peter Smith, 1997. "On the Role of Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 8(2), pages 215-230, May.
    13. Lins, Marcos P. Estellita & Gomes, Eliane G. & Soares de Mello, Joao Carlos C. B. & Soares de Mello, Adelino Jose R., 2003. "Olympic ranking based on a zero sum gains DEA model," European Journal of Operational Research, Elsevier, vol. 148(2), pages 312-322, July.
    14. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    15. Asmild, Mette & Paradi, Joseph C. & Pastor, Jesus T., 2009. "Centralized resource allocation BCC models," Omega, Elsevier, vol. 37(1), pages 40-49, February.
    16. A Z Milioni & J V G de Avellar & T N Rabello & G M de Freitas, 2011. "Hyperbolic frontier model: a parametric DEA approach for the distribution of a total fixed output," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 1029-1037, June.
    17. J V Guedes de Avellar & A Z Milioni & T N Rabello, 2007. "Spherical frontier DEA model based on a constant sum of inputs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1246-1251, September.
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