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A Hybrid Parallel Processing Strategy for Large-Scale DEA Computation

Author

Listed:
  • Shengqing Chang

    (Hefei University of Technology)

  • Jingjing Ding

    (Hefei University of Technology
    Intelligent Interconnection System Anhui Provincial Laboratory
    (Hefei University of Technology), Ministry of Education)

  • Chenpeng Feng

    (Hefei University of Technology
    Intelligent Interconnection System Anhui Provincial Laboratory
    (Hefei University of Technology), Ministry of Education)

  • Ruifeng Wang

    (SPD Bank)

Abstract

Using data envelopment analysis (DEA) with large-scale data poses a big challenge to applications due to its computing-intensive nature. So far, various strategies have been proposed in academia to accelerate the DEA computation, including DEA algorithms such as hierarchical decomposition (HD), DEA enhancements such as restricted basis entry (RBE) and LP accelerators such as hot starts. However, few studies have integrated these strategies and combined them with a parallel processing framework to solve large-scale DEA problems. In this paper, a hybrid parallel DEA algorithm (named PRHH algorithm) is proposed, including the RBE algorithm, hot starts, and HD algorithm based on Message Passing Interface (MPI). Furthermore, the attribute of the PRHH algorithm is analyzed, and formalized as a computing time function, to shed light on its time complexity. Finally, the performance of the algorithm is investigated in various simulation scenarios with datasets of different characteristics and compared with existing methods. The results show that the proposed algorithm reduces computing time in general, and boosts performance dramatically in scenarios with low density in particular.

Suggested Citation

  • Shengqing Chang & Jingjing Ding & Chenpeng Feng & Ruifeng Wang, 2024. "A Hybrid Parallel Processing Strategy for Large-Scale DEA Computation," Computational Economics, Springer;Society for Computational Economics, vol. 63(6), pages 2325-2349, June.
  • Handle: RePEc:kap:compec:v:63:y:2024:i:6:d:10.1007_s10614-023-10407-1
    DOI: 10.1007/s10614-023-10407-1
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    References listed on IDEAS

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    1. Chen, Yao & Iqbal Ali, Agha, 2002. "Output-input ratio analysis and DEA frontier," European Journal of Operational Research, Elsevier, vol. 142(3), pages 476-479, November.
    2. 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.
    3. Richard Barr & Matthew Durchholz, 1997. "Parallel and hierarchical decomposition approaches for solving large-scale Data Envelopment Analysis models," Annals of Operations Research, Springer, vol. 73(0), pages 339-372, October.
    4. Wen-Chih Chen & Sheng-Yung Lai, 2017. "Determining radial efficiency with a large data set by solving small-size linear programs," Annals of Operations Research, Springer, vol. 250(1), pages 147-166, March.
    5. Dula, J. H. & Helgason, R. V., 1996. "A new procedure for identifying the frame of the convex hull of a finite collection of points in multidimensional space," European Journal of Operational Research, Elsevier, vol. 92(2), pages 352-367, July.
    6. Tao Jie, 2020. "Parallel processing of the Build Hull algorithm to address the large-scale DEA problem," Annals of Operations Research, Springer, vol. 295(1), pages 453-481, December.
    7. Yande Gong & Joe Zhu & Ya Chen & Wade D. Cook, 2018. "DEA as a tool for auditing: application to Chinese manufacturing industry with parallel network structures," Annals of Operations Research, Springer, vol. 263(1), pages 247-269, April.
    8. J. H. Dulá & R. V. Helgason & N. Venugopal, 1998. "An Algorithm for Identifying the Frame of a Pointed Finite Conical Hull," INFORMS Journal on Computing, INFORMS, vol. 10(3), pages 323-330, August.
    9. Shaojian Qu & Lei Xu & Sachin Kumar Mangla & Felix T. S. Chan & Jianli Zhu & Sobhan Arisian, 2022. "Matchmaking in reward-based crowdfunding platforms: a hybrid machine learning approach," International Journal of Production Research, Taylor & Francis Journals, vol. 60(24), pages 7551-7571, December.
    10. 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.
    11. 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.
    12. Ali, Agha Iqbal, 1993. "Streamlined computation for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 64(1), pages 61-67, January.
    13. Shaojian Qu & Can Feng & Shan Jiang & Jinpeng Wei & Yuting Xu, 2022. "Data-Driven Robust DEA Models for Measuring Operational Efficiency of Endowment Insurance System of Different Provinces in China," Sustainability, MDPI, vol. 14(16), pages 1-21, August.
    14. Shaojian Qu & Yuting Xu & Ying Ji & Can Feng & Jinpeng Wei & Shan Jiang, 2022. "Data-Driven Robust Data Envelopment Analysis for Evaluating the Carbon Emissions Efficiency of Provinces in China," Sustainability, MDPI, vol. 14(20), pages 1-26, October.
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