IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v98y2025ics0038012125000163.html
   My bibliography  Save this article

Optimizing training efficiency amid postgraduate enrollment expansion: A new parallel network DEA allocation model

Author

Listed:
  • Zhao, Jiqiang
  • Cheng, Lijun
  • Wu, Xianhua
  • Zhao, Lei

Abstract

Against the backdrop of the continuous expansion of postgraduate enrollment in China, ensuring the quality of postgraduate education has become a long-term focus of concern for the entire society. Currently, the allocation model of postgraduate enrollment quotas among Chinese universities and within universities has not formed an effective competitive mechanism, making it difficult to reflect quality orientation and improve training efficiency. Therefore, a new parallel network data envelopment analysis (DEA) enrollment quotas allocation model based on shared investment is proposed to achieve efficiency and fairness. An empirical analysis is conducted using the allocation of enrollment quotas for professional degree postgraduates at a university in Shanghai as an example. The study shows that (1) the existing allocation schemes only follow a single high average principle, which neglects allocation efficiency. Through optimization, the allocation efficiency has been improved from 0.76 to 1. (2) When the subjective stage weight coefficient γ1 = 0.9, the Gini coefficient of the allocation scheme is the lowest, which is the optimal allocation scheme under the condition of efficiency priority. (3) When the coefficient of the subjective efficiency stage and the input-oriented weight coefficient within the subjective efficiency stage change by 11 % and 40 %, respectively, there is no significant difference between the test and control groups in the allocation results (P > 0.05), and the Pearson correlation coefficient (R2) is 0.96. Therefore, this allocation model demonstrates good stability and can be applied to the allocation of enrollment quotas among different universities and other types of postgraduates.

Suggested Citation

  • Zhao, Jiqiang & Cheng, Lijun & Wu, Xianhua & Zhao, Lei, 2025. "Optimizing training efficiency amid postgraduate enrollment expansion: A new parallel network DEA allocation model," Socio-Economic Planning Sciences, Elsevier, vol. 98(C).
  • Handle: RePEc:eee:soceps:v:98:y:2025:i:c:s0038012125000163
    DOI: 10.1016/j.seps.2025.102167
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038012125000163
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.seps.2025.102167?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Contreras, I. & Lozano, S., 2020. "Allocating additional resources to public universities. A DEA bargaining approach," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    2. Zhang, Ganggang & Wu, Jie & Zhu, Qingyuan, 2020. "Performance evaluation and enrollment quota allocation for higher education institutions in China," Evaluation and Program Planning, Elsevier, vol. 81(C).
    3. Ding, Tao & Zhang, Yun & Zhang, Danlu & Li, Feng, 2023. "Performance evaluation of Chinese research universities: A parallel interactive network DEA approach with shared and fixed sum inputs," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    4. Lozano, Sebastián & Contreras, Ignacio, 2022. "Centralised resource allocation using Lexicographic Goal Programming. Application to the Spanish public university system," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    5. Omoeva, Carina & Menezes Cunha, Nina & Moussa, Wael, 2021. "Measuring equity of education resource allocation: An output-based approach," International Journal of Educational Development, Elsevier, vol. 87(C).
    6. Sun, Yu & Yang, Feng & Wang, Dawei & Ang, Sheng, 2023. "Efficiency evaluation for higher education institutions in China considering unbalanced regional development: A meta-frontier Super-SBM model," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    7. Zhang, Chonghui & Jiang, Nanyue & Su, Tiantian & Chen, Ji & Streimikiene, Dalia & Balezentis, Tomas, 2022. "Spreading knowledge and technology: Research efficiency at universities based on the three-stage MCDM-NRSDEA method with bootstrapping," Technology in Society, Elsevier, vol. 68(C).
    8. de Silva, Tiloka & Gothama, Supun & Premakumara, Priyantha, 2021. "Admissions quotas in university education: Targeting and mismatch under Sri Lanka’s affirmative action policy," International Journal of Educational Development, Elsevier, vol. 84(C).
    9. Xiong, Xi & Yang, Guo-liang & Zhou, De-qun & Wang, Zi-long, 2022. "How to allocate multi-period research resources? Centralized resource allocation for public universities in China using a parallel DEA-based approach," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    10. Mayerle, Sérgio F. & Rodrigues, Hidelbrando F. & Neiva de Figueiredo, João & De Genaro Chiroli, Daiane M., 2022. "Optimal student/school/class/teacher/classroom matching to support efficient public school system resource allocation," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    11. Yang, Min & Zhang, Maolin & Yin, Pengzhen & Liang, Liang, 2023. "Performance evaluation of scientific research system in Chinese universities: A view of goal congruence," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    12. Weili Hu, 2021. "Research on the Construction of Normalization Mechanism of Graduate Education Quality Monitoring and Evaluation Under the Background of Quality-Oriented Enrollment Expansion," Noble International Journal of Social Sciences Research, Noble Academic Publsiher, vol. 6(5), pages 61-70, September.
    13. Wolszczak-Derlacz, Joanna, 2017. "An evaluation and explanation of (in)efficiency in higher education institutions in Europe and the U.S. with the application of two-stage semi-parametric DEA," Research Policy, Elsevier, vol. 46(9), pages 1595-1605.
    14. Wang, Derek D., 2019. "Performance-based resource allocation for higher education institutions in China," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 66-75.
    15. Tao Tang & Maged A. Aldhaeebi & J. Q. Lan & Ebrahim Bamanger, 2020. "Comparison of the Graduate Education between Canada and China," International Journal of Higher Education, Sciedu Press, vol. 9(4), pages 1-13, August.
    16. Cook, Wade D. & Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada & Zhu, Joe, 2019. "DEA-based benchmarking for performance evaluation in pay-for-performance incentive plans," Omega, Elsevier, vol. 84(C), pages 45-54.
    17. Charnes, A. & Cooper, W. W. & Rhodes, E., 1979. "Measuring the efficiency of decision-making units," European Journal of Operational Research, Elsevier, vol. 3(4), pages 339-338, July.
    18. Fandel, Gunter, 2007. "On the performance of universities in North Rhine-Westphalia, Germany: Government's redistribution of funds judged using DEA efficiency measures," European Journal of Operational Research, Elsevier, vol. 176(1), pages 521-533, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Badiee, Aghdas & Moshtari, Mohammad & Berenguer, Gemma, 2024. "A systematic review of operations research and management science modeling techniques in the study of higher education institutions," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    2. Chen, Ya & Pan, Yongbin & Liu, Haoxiang & Wu, Huaqing & Deng, Guangwei, 2023. "Efficiency analysis of Chinese universities with shared inputs: An aggregated two-stage network DEA approach," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    3. Contreras, I. & Lozano, S., 2022. "Size efficiency, splits and merger gains, and centralized resource reallocation of Spanish public universities," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    4. Lin, Sheng-Wei & Lu, Wen-Min, 2024. "Optimizing public sector resources: A centralized DEA model for effective allocation of shared inputs," Socio-Economic Planning Sciences, Elsevier, vol. 96(C).
    5. Contreras, I. & Lozano, S., 2020. "Allocating additional resources to public universities. A DEA bargaining approach," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    6. Chen, Xiaolei & Guan, Zhongcheng & Yang, Guoliang & Pan, Hao & Xiong, Xi, 2024. "Evaluation of technology transfer performance for Chinese universities based on a dual-game cross-efficiency model," Socio-Economic Planning Sciences, Elsevier, vol. 94(C).
    7. Rella, Angela & Rubino, Michele & Raimo, Nicola & Vitolla, Filippo, 2024. "Does the digitalization of municipalities affect the efficiency of universities? An Italian case study using DEA and Malmquist index approaches," Technology in Society, Elsevier, vol. 77(C).
    8. Mishra, Neelesh Kumar & Chakraborty, Abhishek & Singh, Sanjeet & Ranjan, Prabhat, 2023. "Efficiency analysis of engineering colleges in India: Decomposition into parallel sub-processes systems," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    9. De la Cruz, Marco & Mergoni, Anna, 2024. "Assessing the performance of Peruvian education system from a governance perspective," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    10. Biao Chen & Yan Chen & Xianghua Qu & Wanyu Huang & Panyu Wang, 2023. "Do Financial Investment, Disciplinary Differences, and Level of Development Impact on the Efficiency of Resource Allocation in Higher Education: Evidence from China," Sustainability, MDPI, vol. 15(9), pages 1-23, April.
    11. Xi Xiong & Guo-liang Yang & Kai-di Liu & De-qun Zhou, 2022. "A proposed fixed-sum carryovers reallocation DEA approach for social scientific resources of Chinese public universities," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(7), pages 4097-4121, July.
    12. Cui, Yuan & Ren, Xian-tong & He, Xi-jie & Yang, Guo-liang, 2023. "Is human and financial investment in Chinese universities effective?," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    13. Sun, Yu & Yang, Feng & Wang, Dawei & Ang, Sheng, 2023. "Efficiency evaluation for higher education institutions in China considering unbalanced regional development: A meta-frontier Super-SBM model," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    14. Ren, Xian-tong & Fukuyama, Hirofumi & Yang, Guo-liang, 2022. "Eliminating congestion by increasing inputs in R&D activities of Chinese universities," Omega, Elsevier, vol. 110(C).
    15. Belgin, Önder, 2025. "Research and entrepreneurial efficiency of selected Turkish universities," International Journal of Educational Development, Elsevier, vol. 113(C).
    16. Lozano, Sebastián & Contreras, Ignacio, 2022. "Centralised resource allocation using Lexicographic Goal Programming. Application to the Spanish public university system," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    17. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    18. Wohlrabe, Klaus & Bornmann, Lutz & de Moya Anegon, Felix, 2017. "Wie effizient sind Universitäten in Deutschland, deren Zukunftskonzepte im Rahmen der Exzellenzinitiative ausgezeichnet wurden? Ein empirischer Vergleich von Input- und Output-Daten zur Forschung [," MPRA Paper 76218, University Library of Munich, Germany.
    19. Chen, Zhuo & Yang, Zhenbing & Yang, Lili, 2020. "How to optimize the allocation of research resources? An empirical study based on output and substitution elasticities of universities in Chinese provincial level," Socio-Economic Planning Sciences, Elsevier, vol. 69(C).
    20. Biao Chen & Yan Chen & Yajing Sun & Yu Tong & Ling Liu, 2024. "The measurement, level, and influence of resource allocation efficiency in universities: empirical evidence from 13 “double first class” universities in China," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-16, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:soceps:v:98:y:2025:i:c:s0038012125000163. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/seps .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.