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A global cost Malmquist productivity index using data envelopment analysis

Author

Listed:
  • G Tohidi

    (Islamic Azad University, Central Tehran Branch, Tehran, Iran)

  • S Razavyan

    (Islamic Azad University, South-Tehran Branch, Tehran, Iran)

  • S Tohidnia

    (Islamic Azad University, Central Tehran Branch, Tehran, Iran)

Abstract

This paper proposes a global cost Malmquist productivity index, new cost Malmquist productivity index, that is circular and that gives a single measure of productivity change. The index is inspired by the global Malmquist productivity index as extended to productivity measurement. Decomposition of the proposed cost Malmquist productivity index is presented. Numerical results are presented for an example taken from the literature to illustrate the proposed algorithm.

Suggested Citation

  • G Tohidi & S Razavyan & S Tohidnia, 2012. "A global cost Malmquist productivity index using data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 72-78, January.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:1:p:72-78
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    Cited by:

    1. Zhu, Weiwei & Zhu, Yaqin & Lin, Huaping & Yu, Yu, 2021. "Technology progress bias, industrial structure adjustment, and regional industrial economic growth motivation —— Research on regional industrial transformation and upgrading based on the effect of lea," Technological Forecasting and Social Change, Elsevier, vol. 170(C).
    2. Walheer, Barnabé, 2018. "Disaggregation of the cost Malmquist productivity index with joint and output-specific inputs," Omega, Elsevier, vol. 75(C), pages 1-12.
    3. Konstantinos Petridis, 2022. "Spatio-temporal efficiency measurement under undesirable outputs using multi-objective programming: a GAMS representation," Annals of Operations Research, Springer, vol. 311(2), pages 1183-1202, April.
    4. Lin, Winston T. & Chen, Yueh H. & Shao, Benjamin B.M., 2015. "Assessing the business values of information technology and e-commerce independently and jointly," European Journal of Operational Research, Elsevier, vol. 245(3), pages 815-827.
    5. Bansal, Pooja & Kumar, Sunil & Mehra, Aparna & Gulati, Rachita, 2022. "Developing two dynamic Malmquist-Luenberger productivity indices: An illustrated application for assessing productivity performance of Indian banks," Omega, Elsevier, vol. 107(C).
    6. Reza Fallahnejad & Mohammad Reza Mozaffari & Peter Fernandes Wanke & Yong Tan, 2024. "Nash Bargaining Game Enhanced Global Malmquist Productivity Index for Cross-Productivity Index," Games, MDPI, vol. 15(1), pages 1-21, January.
    7. Walheer, Barnabé, 2018. "Aggregation of metafrontier technology gap ratios: the case of European sectors in 1995–2015," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1013-1026.
    8. Emrouznejad, Ali & Yang, Guo-liang, 2016. "A framework for measuring global Malmquist–Luenberger productivity index with CO2 emissions on Chinese manufacturing industries," Energy, Elsevier, vol. 115(P1), pages 840-856.
    9. Tsui‐Yueh Cho, 2020. "Cost metafrontier approach for measuring the Malmquist productivity index: An example of bank groups formed after the financial reform in Taiwan," Pacific Economic Review, Wiley Blackwell, vol. 25(4), pages 475-494, October.
    10. Molinos-Senante, María & Maziotis, Alexandros & Sala-Garrido, Ramón, 2014. "The Luenberger productivity indicator in the water industry: An empirical analysis for England and Wales," Utilities Policy, Elsevier, vol. 30(C), pages 18-28.
    11. Kwaku Ohene-Asare & Jones Kofi Anyimadu Asare & Charles Turkson, 2019. "Dynamic cost productivity and economies of scale of Ghanaian insurers," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(1), pages 148-177, January.
    12. Lin, Winston T. & Chuang, Chia-Hung, 2013. "Investigating and comparing the dynamic patterns of the business value of information technology over time," European Journal of Operational Research, Elsevier, vol. 228(1), pages 249-261.
    13. Güner, Samet & Cebeci, Halil İbrahim & Antunes, Jorge Junio Moreira & Wanke, Peter F., 2021. "Sustainable efficiency drivers in Eurasian airports: Fuzzy NDEA approach based on Shannon's entropy," Journal of Air Transport Management, Elsevier, vol. 92(C).
    14. Lin, Winston T. & Kao, Ta-Wei (Daniel), 2014. "The partial adjustment valuation approach with dynamic and variable speeds of adjustment to evaluating and measuring the business value of information technology," European Journal of Operational Research, Elsevier, vol. 238(1), pages 208-220.
    15. Adel Hatami-Marbini & Aliasghar Arabmaldar & John Otu Asu, 2022. "Robust productivity growth and efficiency measurement with undesirable outputs: evidence from the oil industry," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1213-1254, December.
    16. Lin, Yu-Hui & Fu, Tsu-Tan & Chen, Chia-Li & Juo, Jia-Ching, 2017. "Non-radial cost Luenberger productivity indicator," European Journal of Operational Research, Elsevier, vol. 256(2), pages 629-639.
    17. Barnabé Walheer, 2019. "Dynamic directional nonparametric profit efficiency analysis for a single decision-making unit: an aggregation approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 1123-1149, December.
    18. Mei-Ying Huang & Jia-Ching Juo & Tsu-tan Fu, 2015. "Metafrontier cost Malmquist productivity index: an application to Taiwanese and Chinese commercial banks," Journal of Productivity Analysis, Springer, vol. 44(3), pages 321-335, December.
    19. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    20. Emrouznejad, Ali & Yang, Guo-liang, 2016. "CO2 emissions reduction of Chinese light manufacturing industries: A novel RAM-based global Malmquist–Luenberger productivity index," Energy Policy, Elsevier, vol. 96(C), pages 397-410.
    21. Tsui-Yueh Cho & Tsai-Yi Wang, 2018. "Estimations of cost metafrontier Malmquist productivity index: using international tourism hotels in Taiwan as an example," Empirical Economics, Springer, vol. 55(4), pages 1661-1694, December.
    22. Ali Homayoni & Reza Fallahnejad & Farhad Hosseinzadeh Lotfi, 2022. "Cross Malmquist Productivity Index in Data Envelopment Analysis," 4OR, Springer, vol. 20(4), pages 567-602, December.
    23. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.

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