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Adjusted spherical frontier model: allocating input via parametric DEA

Author

Listed:
  • E C C Guedes

    (Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil)

  • A Z Milioni

    (Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil)

  • J V G de Avellar

    (Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil)

  • R C Silva

    (Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil)

Abstract

This paper presents the adjusted spherical frontier model (ASFM), a parametric data envelopment analysis (DEA) model for input allocation. Following a common principle from other solutions found in the literature, ASFM considers that the process of allocating the new input is fair if it ends in such a way that all decision-making units will become DEA-CCR efficient. ASFM's main assumption is the spherical shape of the efficiency frontier. It is because of that assumption that ASFM is called a parametric DEA model. Numeric examples are presented showing that, within the context of sensitivity analysis, ASFM reaches more coherent results than other models found in the literature. This numeric evidence leads to a theorem which formally states this more coherent behaviour. The proof of this theorem is included in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:3:p:406-417
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    Citations

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    Cited by:

    1. Feng Li & Qingyuan Zhu & Liang Liang, 2019. "A new data envelopment analysis based approach for fixed cost allocation," Annals of Operations Research, Springer, vol. 274(1), pages 347-372, March.
    2. Yang, Min & Li, Yong Jun & Liang, Liang, 2015. "A generalized equilibrium efficient frontier data envelopment analysis approach for evaluating DMUs with fixed-sum outputs," European Journal of Operational Research, Elsevier, vol. 246(1), pages 209-217.
    3. 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.

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