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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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    References listed on IDEAS

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    1. 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.
    2. 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), May.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Sengupta, Jati K., 1994. "Measuring dynamic efficiency under risk aversion," European Journal of Operational Research, Elsevier, vol. 74(1), pages 61-69, April.
    10. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    11. 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.
    12. Tone, Kaoru & Tsutsui, Miki, 2010. "Dynamic DEA: A slacks-based measure approach," Omega, Elsevier, vol. 38(3-4), pages 145-156, June.
    13. 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.
    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. 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.
    17. Fare, Rolf & Grosskopf, Shawna, 2000. "Network DEA," Socio-Economic Planning Sciences, Elsevier, vol. 34(1), pages 35-49, March.
    18. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Chia-Jung Tu & Ming-Chung Chang & Chiang-Ping Chen, 2016. "Progressive Time-Weighted Dynamic Energy Efficiency, Energy Decoupling Rate, and Decarbonization: An Empirical Study on G7 and BRICS," Sustainability, MDPI, Open Access Journal, vol. 8(9), pages 1-17, September.
    2. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    3. Kapelko, Magdalena & Oude Lansink, Alfons & Stefanou, Spiro E., 2014. "Assessing dynamic inefficiency of the Spanish construction sector pre- and post-financial crisis," European Journal of Operational Research, Elsevier, vol. 237(1), pages 349-357.
    4. Sahoo, Biresh K. & Zhu, Joe & Tone, Kaoru & Klemen, Bernhard M., 2014. "Decomposing technical efficiency and scale elasticity in two-stage network DEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 584-594.
    5. Kao, Chiang, 2014. "Efficiency decomposition for general multi-stage systems in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 232(1), pages 117-124.
    6. Kao, Chiang, 2016. "Efficiency decomposition and aggregation in network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 255(3), pages 778-786.
    7. repec:eee:jomega:v:74:y:2018:i:c:p:103-114 is not listed on IDEAS
    8. repec:eee:energy:v:134:y:2017:i:c:p:392-399 is not listed on IDEAS
    9. Zha, Yong & Liang, Nannan & Wu, Maoguo & Bian, Yiwen, 2016. "Efficiency evaluation of banks in China: A dynamic two-stage slacks-based measure approach," Omega, Elsevier, vol. 60(C), pages 60-72.
    10. repec:spr:orspec:v:39:y:2017:i:3:d:10.1007_s00291-017-0475-1 is not listed on IDEAS
    11. repec:kap:jproda:v:48:y:2017:i:1:d:10.1007_s11123-017-0504-8 is not listed on IDEAS
    12. Ruiyue Lin & Zhiping Chen & Qianhui Hu & Zongxin Li, 0. "Dynamic network DEA approach with diversification to multi-period performance evaluation of funds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 0, pages 1-40.
    13. Omrani, Hashem & Soltanzadeh, Elham, 2016. "Dynamic DEA models with network structure: An application for Iranian airlines," Journal of Air Transport Management, Elsevier, vol. 57(C), pages 52-61.
    14. repec:eee:soceps:v:60:y:2017:i:c:p:24-33 is not listed on IDEAS
    15. Kao, Chiang, 2014. "Efficiency decomposition in network data envelopment analysis with slacks-based measures," Omega, Elsevier, vol. 45(C), pages 1-6.

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