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Slack- based Measures of Efficiency in Two-stage Process: An Approach Based on Data Envelopment Analysis with Double Frontiers

Author

Listed:
  • Arif Muhammad Tali
  • Tirupathi Rao Padi
  • Qaiser Farooq Dar
Abstract
Data envelopment Analysis (DEA) is a mathematical technique for evaluating the relative efficiency of Decision Making Units (DMUs) that convert multiple inputs to multiple outputs. DEA is considered to find optimistic efficient performers in most favorable scenario while giving most favorable weights to inputs and outputs of every DMU. The obtained efficient DMUs construct an optimistic efficient (best-practice) frontier. On the other hand for the purpose of identifying bad performers in most unfavorable scenario, pessimistic DEA model has been proposed, which measures the efficiency with the set of most unfavorable weights. The obtained pessimistic efficient DMUs construct pessimistic (worst-practice) frontier. In many real life situations, DMUs may have a two-stage structure where the first stage uses inputs to produce outputs (called Intermediate) then in second stage that intermediate measures are taken as inputs to produce the final outputs. Assuming this type of structure of production process we used a Slack-based Model (SBM) for obtaining Optimistic and Pessimistic DEA models for stage one, stage two and for overall system in order to measure optimistic and pessimistic efficiencies. An example of non-life insurance industry of Taiwan is selected for supporting our model.

Suggested Citation

  • Arif Muhammad Tali & Tirupathi Rao Padi & Qaiser Farooq Dar, 2016. "Slack- based Measures of Efficiency in Two-stage Process: An Approach Based on Data Envelopment Analysis with Double Frontiers," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 6(3), pages 1194-1194.
    • Handle: RePEc:ers:ijfirm:v:6:y:2016:i:3:p:1194
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    References listed on IDEAS

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    1. Chen, Yao & Cook, Wade D. & Li, Ning & Zhu, Joe, 2009. "Additive efficiency decomposition in two-stage DEA," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1170-1176, August.
    2. Tone, Kaoru & Tsutsui, Miki, 2009. "Network DEA: A slacks-based measure approach," European Journal of Operational Research, Elsevier, vol. 197(1), pages 243-252, August.
    3. Thomas Sexton & Herbert Lewis, 2003. "Two-Stage DEA: An Application to Major League Baseball," Journal of Productivity Analysis, Springer, vol. 19(2), pages 227-249, April.
    4. 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.
    5. 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.
    6. Kaoru Tone & Miki Tsutsui, 2014. "Slacks-Based Network DEA," International Series in Operations Research & Management Science, in: Wade D. Cook & Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 0, pages 231-259, Springer.
    7. Tone, Kaoru & Tsutsui, Miki, 2010. "Dynamic DEA: A slacks-based measure approach," Omega, Elsevier, vol. 38(3-4), pages 145-156, June.
    8. Joseph Paradi & Mette Asmild & Paul Simak, 2004. "Using DEA and Worst Practice DEA in Credit Risk Evaluation," Journal of Productivity Analysis, Springer, vol. 21(2), pages 153-165, March.
    9. Entani, Tomoe & Maeda, Yutaka & Tanaka, Hideo, 2002. "Dual models of interval DEA and its extension to interval data," European Journal of Operational Research, Elsevier, vol. 136(1), pages 32-45, January.
    10. Avkiran, Necmi K., 2009. "Opening the black box of efficiency analysis: An illustration with UAE banks," Omega, Elsevier, vol. 37(4), pages 930-941, August.
    11. Chien Wang & Ram Gopal & Stanley Zionts, 1997. "Use of Data Envelopment Analysis in assessing Information Technology impact on firm performance," Annals of Operations Research, Springer, vol. 73(0), pages 191-213, October.
    12. Chen, Yao & Cook, Wade D. & Kao, Chiang & Zhu, Joe, 2013. "Network DEA pitfalls: Divisional efficiency and frontier projection under general network structures," European Journal of Operational Research, Elsevier, vol. 226(3), pages 507-515.
    13. Fukuyama, Hirofumi & Weber, William L., 2010. "A slacks-based inefficiency measure for a two-stage system with bad outputs," Omega, Elsevier, vol. 38(5), pages 398-409, October.
    14. Jon A. Chilingerian & H. David Sherman, 2011. "Health-Care Applications: From Hospitals to Physicians, from Productive Efficiency to Quality Frontiers," International Series in Operations Research & Management Science, in: William W. Cooper & Lawrence M. Seiford & Joe Zhu (ed.), Handbook on Data Envelopment Analysis, chapter 0, pages 445-493, Springer.
    15. 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.
    16. Lawrence M. Seiford & Joe Zhu, 1999. "Profitability and Marketability of the Top 55 U.S. Commercial Banks," Management Science, INFORMS, vol. 45(9), pages 1270-1288, September.
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