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A Malmquist productivity index for network production systems in the energy sector

Author

Listed:
  • Madjid Tavana

    (La Salle University
    University of Paderborn)

  • Kaveh Khalili-Damghani

    (Islamic Azad University)

  • Francisco J. Santos Arteaga

    (Free University of Bolzano)

  • Arousha Hashemi

    (Islamic Azad University)

Abstract

In this paper, a method based on network data envelopment analysis (DEA) is proposed to measure the efficiency and effectiveness of decision making units (DMUs). In this regard, a version of the Malmquist productivity index is designed to accommodate network DEA structures. In this type of environments, sub-DMUs are considered when assessing the efficiency of the main DMU, which helps evaluating the internal structure of the DMUs. The proposed method is applied to measure the productivity of several Iranian oil refineries. After identifying the main factors determining the productivity of these refineries, the operation of nine of them is analyzed using data from the 2015–2016 period. The results show that the management of resource utilization, particularly capital and energy, is inappropriate and investment insufficient. In particular, investment does not aim at upgrading the technology level, despite the fact that the depreciation rate of capital facilities is particularly high in this industry. This particular feature highlights the need to increase the rate of investment in order to replace the depreciated capital.

Suggested Citation

  • Madjid Tavana & Kaveh Khalili-Damghani & Francisco J. Santos Arteaga & Arousha Hashemi, 2020. "A Malmquist productivity index for network production systems in the energy sector," Annals of Operations Research, Springer, vol. 284(1), pages 415-445, January.
    • Handle: RePEc:spr:annopr:v:284:y:2020:i:1:d:10.1007_s10479-019-03173-7
    DOI: 10.1007/s10479-019-03173-7
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    References listed on IDEAS

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    1. 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.
    2. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    3. Dr. Sabah M. Al-Najjar & Mustafa A. Al-Jaybajy, 2012. "Application of Data Envelopment Analysis to Measure the Technical Efficiency of Oil Refineries: A Case Study," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 3(5), pages 64-77, September.
    4. Madjid Tavana & Kaveh Khalili-Damghani & Rahman Rahmatian, 2015. "A hybrid fuzzy MCDM method for measuring the performance of publicly held pharmaceutical companies," Annals of Operations Research, Springer, vol. 226(1), pages 589-621, March.
    5. 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.
    6. Emrouznejad, Ali & Yang, Guo-liang, 2018. "A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 4-8.
    7. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Data envelopment analysis for environmental assessment: Comparison between public and private ownership in petroleum industry," European Journal of Operational Research, Elsevier, vol. 216(3), pages 668-678.
    8. Gothe-Lundgren, Maud & T. Lundgren, Jan & A. Persson, Jan, 2002. "An optimization model for refinery production scheduling," International Journal of Production Economics, Elsevier, vol. 78(3), pages 255-270, August.
    9. Stacy Eller & Peter Hartley & Kenneth Medlock, 2011. "Empirical evidence on the operational efficiency of National Oil Companies," Empirical Economics, Springer, vol. 40(3), pages 623-643, May.
    10. de Lima, Romulo S. & Schaeffer, Roberto, 2011. "The energy efficiency of crude oil refining in Brazil: A Brazilian refinery plant case," Energy, Elsevier, vol. 36(5), pages 3101-3112.
    11. Kao, Chiang, 2017. "Measurement and decomposition of the Malmquist productivity index for parallel production systems," Omega, Elsevier, vol. 67(C), pages 54-59.
    12. Kao, Chiang & Hwang, Shiuh-Nan, 2014. "Multi-period efficiency and Malmquist productivity index in two-stage production systems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 512-521.
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