A Discriminative Multi-Objective Programming Method for Solving Network DEA

Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 20)

Abstract

This study proposes the multi-objective programming (MOP) method for solving network DEA models. In the proposed method, the efficiency of each division (within a DMU) and the overall efficiency of the DMU are formulated as different objective functions. By the fuzzy approach, the overall as well as the divisional efficiencies can be computed in a cohesive framework. We adopt information entropy to estimate the discriminating power of various DEA models. The results show that this study obtains satisfactory and discriminating efficiency scores compared with related studies.

Keywords

Network DEA BCC models multi-objective programming information entropy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Banker, R.D., Charnes, A., Cooper, W.W.: Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science 30, 1078–1092 (1984)MATHCrossRefGoogle Scholar
  2. 2.
    Charnes, A., Cooper, W.W.: Programming with linear fractional functionals. Naval Research Logistics Quarterly 9, 181–186 (1962)MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    Charnes, A., Cooper, W.W., Rhodes, E.: Measuring the efficiency of decision making units. European Journal of Operational Research 2, 429–444 (1978)MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    Cook, W.D., Liang, L., Zhu, J.: Measuring performance of two-stage network structures by DEA: A review and future perspective. Omega 38, 423–430 (2010)CrossRefGoogle Scholar
  5. 5.
    Cook, W.D., Seiford, L.M.: Data envelopment analysis (DEA) – Thirty years on. European Journal of Operational Research 192, 1–17 (2009)MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Cook, W.D., Zhu, J., Bi, G., Yang, F.: Network DEA: Additive efficiency decomposition. European Journal of Operational Research 207, 1122–1129 (2010)MATHCrossRefGoogle Scholar
  7. 7.
    Fukuyama, H., Mirdehghan, S.M.: Identifying the efficiency status in network DEA. European Journal of Operational Research 220, 85–92 (2012)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Tone, K., Tsutsui, M.: Network DEA: A slacks-based measure approach. European Journal of Operational Research 197, 243–252 (2009)MATHCrossRefGoogle Scholar
  9. 9.
    Zimmermann, H.J.: Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1, 45–55 (1978)MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Computer Science and Information EngineeringNational Dong Hwa UniversityHualienTaiwan

Personalised recommendations