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Dynamic data envelopment analysis: A relational analysis

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  • Kao, Chiang

Abstract

This paper proposes a dynamic data envelopment analysis (DEA) model to measure the system and period efficiencies at the same time for multi-period systems, where quasi-fixed inputs or intermediate products are the source of inter-temporal dependence between consecutive periods. A mathematical relationship is derived in which the complement of the system efficiency is a linear combination of those of the period efficiencies. The proposed model is also more discriminative than the existing ones in identifying the systems with better performance. Taiwanese forests, where the forest stock plays the role of quasi-fixed input, are used to illustrate this approach. The results show that the method for calculating the system efficiency in the literature produces over-estimated scores when the dynamic nature is ignored. This makes it necessary to conduct a dynamic analysis whenever data is available.

Suggested Citation

  • Kao, Chiang, 2013. "Dynamic data envelopment analysis: A relational analysis," European Journal of Operational Research, Elsevier, vol. 227(2), pages 325-330.
    • Handle: RePEc:eee:ejores:v:227:y:2013:i:2:p:325-330
    DOI: 10.1016/j.ejor.2012.12.012
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    1. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    2. Kao, Chiang, 2009. "Efficiency decomposition in network data envelopment analysis: A relational model," European Journal of Operational Research, Elsevier, vol. 192(3), pages 949-962, February.
    3. Rolf Färe & Shawna Grosskopf & Gerald Whittaker, 2014. "Network DEA II," International Series in Operations Research & Management Science, in: Wade D. Cook & Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 0, pages 307-327, Springer.
    4. Stefanou, Spiro E. & Silva, Elvira, 2007. "AJAE Appendix: Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics APPENDICES, Agricultural and Applied Economics Association, vol. 89(2), pages 1-19, May.
    5. Chen, Chien-Ming & van Dalen, Jan, 2010. "Measuring dynamic efficiency: Theories and an integrated methodology," European Journal of Operational Research, Elsevier, vol. 203(3), pages 749-760, June.
    6. Elvira Silva & Spiro E. Stefanou, 2007. "Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(2), pages 398-419.
    7. Jiro Nemoto & Mika Goto, 2003. "Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 191-210, April.
    8. 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.
    9. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    10. Tone, Kaoru & Tsutsui, Miki, 2010. "Dynamic DEA: A slacks-based measure approach," Omega, Elsevier, vol. 38(3-4), pages 145-156, June.
    11. Nemoto, Jiro & Goto, Mika, 1999. "Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies," Economics Letters, Elsevier, vol. 64(1), pages 51-56, July.
    12. Filadelfo Mateo & Tim Coelli & Chris O'Donnell, 2006. "Optimal Paths And Costs Of Adjustment In Dynamic DEA Models: With Application To Chilean Department Stores," Annals of Operations Research, Springer, vol. 145(1), pages 211-227, July.
    13. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    14. Charnes, A. & Cooper, W. W., 1984. "The non-archimedean CCR ratio for efficiency analysis: A rejoinder to Boyd and Fare," European Journal of Operational Research, Elsevier, vol. 15(3), pages 333-334, March.
    15. Edward Jaenicke, 2000. "Testing for Intermediate Outputs in Dynamic DEA Models: Accounting for Soil Capital in Rotational Crop Production and Productivity Measures," Journal of Productivity Analysis, Springer, vol. 14(3), pages 247-266, November.
    16. Philipp Geymueller, 2009. "Static versus dynamic DEA in electricity regulation: the case of US transmission system operators," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(4), pages 397-413, December.
    17. Sengupta, Jati K., 1999. "A dynamic efficiency model using data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 62(3), pages 209-218, September.
    18. Cook, Wade D. & Seiford, Larry M., 2009. "Data envelopment analysis (DEA) - Thirty years on," European Journal of Operational Research, Elsevier, vol. 192(1), pages 1-17, January.
    19. Kao, Chiang & Chi Yang, Yong, 1992. "Reorganization of forest districts via efficiency measurement," European Journal of Operational Research, Elsevier, vol. 58(3), pages 356-362, May.
    20. Sengupta, Jati K., 1994. "Measuring dynamic efficiency under risk aversion," European Journal of Operational Research, Elsevier, vol. 74(1), pages 61-69, April.
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