Integrating the neural network into the stochastic DEA model

Authors

  • Hengki Tamando Sihotang Institute of Computer Science (IOCS), Indonesia
  • J. Lavemaau Institute of Computer Science (ICS), Ceko
  • Fristi Riandari Institute of Computer Science (IOCS), Indonesia
  • Firta Sari Panjaitan Institute of Computer Science (IOCS), Indonesia
  • Sonya Enjelina Gorat Institute of Computer Science (IOCS), Indonesia
  • Juliana Batubara Institute of Computer Science (IOCS), Indonesia

DOI:

https://doi.org/10.35335/idea.v1i1.2

Keywords:

stochastic DEA model, neural network, efficiency, decision-making units

Abstract

The novelty of integrating neural networks (NNs) into the stochastic DEA model lies in the ability to address some of the limitations of traditional DEA models and improve the accuracy and efficiency of efficiency measurement and prediction. By integrating NNs, the stochastic DEA model can capture the complex and non-linear relationships between the input and output variables of the decision-making units (DMUs) and handle uncertainty in the input and output data. This is achieved by using the NN to estimate the distribution of the input and output data and then using the stochastic DEA model to calculate the efficiency scores based on these estimated distributions. Furthermore, the integration of NNs into the stochastic DEA model allows for the development of hybrid models that combine the strengths of both techniques. For example, some researchers have proposed using genetic algorithms or other optimization techniques to optimize the input and output weights of the stochastic DEA model, which are then used to calculate the efficiency scores based on the estimated distributions from the NN. This results in a more accurate and efficient efficiency measurement and prediction model. Another novelty of integrating NNs into the stochastic DEA model is the potential for enhancing the interpretability of the model. While NNs are often considered as black-box models, several methods have been proposed to enhance the interpretability of NN-based stochastic DEA models. These methods include using feature importance analysis or visualization techniques to identify the most important input and output variables that contribute to the efficiency scores. Overall, the integration of NNs into the stochastic DEA model represents a novel approach to addressing the limitations of traditional DEA models and improving the accuracy and efficiency of efficiency measurement and prediction under uncertainty. The development of hybrid models and methods to enhance interpretability further add to the novelty and potential impact of this research.

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References

Aggarwal, I., Gunreddy, N., & Rajan, A. J. (2021). A Hybrid Supplier Selection Approach Using Machine Learning and Data Envelopment Analysis. 2021 Innovations in Power and Advanced Computing Technologies (i-PACT), 1–5. https://doi.org/10.1109/i-PACT52855.2021.9696826

Amirkhan, M., Didehkhani, H., Khalili-Damghani, K., & Hafezalkotob, A. (2018). Mixed uncertainties in data envelopment analysis: A fuzzy-robust approach. Expert Systems with Applications, 103(1), 218–237. https://doi.org/https://doi.org/10.1016/j.eswa.2018.03.017

Amirteimoori, A., Charles, V., & Mehdizadeh, S. (2023). Stochastic data envelopment analysis in the presence of undesirable outputs. Journal of the Operational Research Society, 74(2), 1–14. https://doi.org/https://doi.org/10.1080/01605682.2023.2172366

Ang, S., Zhu, Y., & Yang, F. (2021). Efficiency evaluation and ranking of supply chains based on stochastic multicriteria acceptability analysis and data envelopment analysis. International Transactions in Operational Research, 28(6), 3190–3219. https://doi.org/https://doi.org/10.1111/itor.12707

Angiz, M. Z., Mustafa, A., & Kamali, M. J. (2013). Cross-ranking of decision making units in data envelopment analysis. Applied Mathematical Modelling, 37(1–2), 398–405. https://doi.org/https://doi.org/10.1016/j.apm.2012.02.038

Apaydin, H., Feizi, H., Sattari, M. T., Colak, M. S., Shamshirband, S., & Chau, K.-W. (2020). Comparative analysis of recurrent neural network architectures for reservoir inflow forecasting. Water, 12(5), 1500. https://doi.org/https://doi.org/10.3390/w12051500

Aydın, Z., & Toklu, B. (2023). Stochastic Data Envelopment Analysis in Measuring the Efficiency of Electricity Distribution Companies. In Energy Systems Design for Low-Power Computing (pp. 305–334). IGI Global. https://doi.org/10.4018/978-1-6684-4974-5.ch015

Balak, S., Behzadi, M. H., & Nazari, A. (2021). Stochastic copula-DEA model based on the dependence structure of stochastic variables: An application to twenty bank branches. Economic Analysis and Policy, 72(12), 326–341. https://doi.org/https://doi.org/10.1016/j.eap.2021.09.002

Boubaker, S., Le, T. D. Q., Ngo, T., & Manita, R. (2023). Predicting the performance of MSMEs: a hybrid DEA-machine learning approach. Annals of Operations Research, 1–23. https://doi.org/https://doi.org/10.1007/s10479-023-05230-8

Bouzidi, Z., Amad, M., & Boudries, A. (2022). Deep Learning-Based Automated Learning Environment Using Smart Data to Improve Corporate Marketing, Business Strategies, Fraud Detection in Financial Services, and Financial Time Series Forecasting. International Conference on Managing Business Through Web Analytics, 353–377. https://doi.org/10.1007/978-3-031-06971-0_26

Brumm, P., Ciotta, N., Sauer, H. M., Blaeser, A., & Dörsam, E. (2023). Deep learning study of induced stochastic pattern formation in the gravure printing fluid splitting process. Journal of Coatings Technology and Research, 20(1), 51–72. https://doi.org/https://doi.org/10.1007/s11998-022-00687-x

Cinaroglu, S. (2023). Fuzzy Efficiency Estimates of the Turkish Health System: A Comparison of Interval, Bias-Corrected, and Fuzzy Data Envelopment Analysis. International Journal of Fuzzy Systems, 1–24. https://doi.org/https://doi.org/10.1007/s40815-023-01519-9

Dalei, N. N., & Joshi, J. M. (2023). Operational efficiency assessment of oil refineries using data envelopment analysis and Tobit model: evidence from India. International Journal of Energy Sector Management, 17(3), 437–454. https://doi.org/https://doi.org/10.1108/IJESM-07-2020-0024

Damayanti, Y., Nainggolan, S., Nurchaini, D. S., & Rahmawati, S. E. (2023). Technical Efficiency Analysis of Fertilizer use for Oil Palm Plantations Self-Help Patterns in Muaro Jambi Regency using Methods Data Envelopment Analysis. International Journal of Horticulture, Agriculture and Food Science (IJHAF), 7(1), 8–14. https://doi.org/https://dx.doi.org/10.22161/ijhaf.7.1.2

Dotoli, M., Epicoco, N., Falagario, M., & Sciancalepore, F. (2016). A stochastic cross‐efficiency data envelopment analysis approach for supplier selection under uncertainty. International Transactions in Operational Research, 23(4), 725–748. https://doi.org/https://doi.org/10.1111/itor.12155

Esmaeilzadeh, P. (2020). Use of AI-based tools for healthcare purposes: a survey study from consumers’ perspectives. BMC Medical Informatics and Decision Making, 20(1), 1–19. https://doi.org/https://doi.org/10.1186/s12911-020-01191-1

Fallahpour, A., Olugu, E. U., Musa, S. N., Khezrimotlagh, D., & Wong, K. Y. (2016). An integrated model for green supplier selection under fuzzy environment: application of data envelopment analysis and genetic programming approach. Neural Computing and Applications, 27(4), 707–725. https://doi.org/https://doi.org/10.1007/s00521-015-1890-3

Gholizadeh, H., Fathollahi-Fard, A. M., Fazlollahtabar, H., & Charles, V. (2022). Fuzzy data-driven scenario-based robust data envelopment analysis for prediction and optimisation of an electrical discharge machine’s parameters. Expert Systems with Applications, 193(5), 116419. https://doi.org/https://doi.org/10.1016/j.eswa.2021.116419

Habib, M. S., Omair, M., Ramzan, M. B., Chaudhary, T. N., Farooq, M., & Sarkar, B. (2022). A robust possibilistic flexible programming approach toward a resilient and cost-efficient biodiesel supply chain network. Journal of Cleaner Production, 366(15), 132752. https://doi.org/https://doi.org/10.1016/j.jclepro.2022.132752

Joro, T., Korhonen, P., & Wallenius, J. (1998). Structural comparison of data envelopment analysis and multiple objective linear programming. Management Science, 44(7), 962–970. https://doi.org/https://doi.org/10.1287/mnsc.44.7.962

Kainthura, P., & Sharma, N. (2022). Hybrid machine learning approach for landslide prediction, Uttarakhand, India. Scientific Reports, 12(1), 20101. https://doi.org/https://doi.org/10.1038/s41598-022-22814-9

Khaki, A. R., Sadjadi, S. J., Gharakhani, M., & Rashidi, S. (2012). Data envelopment analysis under uncertainty: A case study from public healthcare. African Journal of Business Management, 6(24), 7096–7105. https://doi.org/10.5897/AJBM11.591

Labijak-Kowalska, A., & Kadziński, M. (2023). Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis. Operational Research, 23(1), 22. https://doi.org/https://doi.org/10.1007/s12351-023-00755-z

Maniati, M., Sambracos, E., & Sklavos, S. (2022). A Neural Network approach for integrating banks’ decision in shipping finance. Cogent Economics & Finance, 10(1), 2150134. https://doi.org/https://doi.org/10.1080/23322039.2022.2150134

Modhej, D., & Dahimavi, A. (2022). Evaluation Efficiency of Large-Scale Data Set: Cerebellar Model Articulation Controller Neural Network. Iranian Journal of Operations Research, 13(1), 13–30. https://iors.ir/journal/article-1-771-en.pdf

Namakin, A., Najafi, S. E., Fallah, M., & Javadi, M. (2021). A New Hybrid Methodology Based on Data Envelopment Analysis and Neural Network for Optimization of Performance Evaluation. International Journal of Industrial Mathematics, 13(4), 395–409. https://doi.org/http://dorl.net/dor/20.1001.1.20085621.2021.13.3.4.1

Nazari-Shirkouhi, S., Tavakoli, M., Govindan, K., & Mousakhani, S. (2023). A hybrid approach using Z-number DEA model and Artificial Neural Network for Resilient supplier Selection. Expert Systems with Applications, 222(7), 119746. https://doi.org/https://doi.org/10.1016/j.eswa.2023.119746

Pendharkar, P. C. (2023). A Radial Basis Function Neural Network for Stochastic Frontier Analyses of General Multivariate Production and Cost Functions. Neural Processing Letters, 1–22. https://doi.org/https://doi.org/10.1007/s11063-022-11137-5

Poitier, K., & Cho, S. (2011). Estimation of true efficient frontier of organisational performance using data envelopment analysis and support vector machine learning. International Journal of Information and Decision Sciences, 3(2), 148–172. https://doi.org/https://doi.org/10.1504/IJIDS.2011.040421

Qu, S., Feng, C., Jiang, S., Wei, J., & Xu, Y. (2022). Data-Driven Robust DEA Models for Measuring Operational Efficiency of Endowment Insurance System of Different Provinces in China. Sustainability, 14(16), 9954. https://doi.org/https://doi.org/10.3390/su14169954

Sengupta, J. K. (1987). Data envelopment analysis for efficiency measurement in the stochastic case. Computers & Operations Research, 14(2), 117–129. https://doi.org/https://doi.org/10.1016/0305-0548(87)90004-9

Shi, Y., & Zhao, W. (2023). An Integrated machine learning and DEA-predefined performance outcome prediction framework with high-dimensional imbalanced data. INFOR: Information Systems and Operational Research, 61(1), 1–30. https://doi.org/https://doi.org/10.1080/03155986.2023.2168943

Tang, Y., Song, Z., Zhu, Y., Yuan, H., Hou, M., Ji, J., Tang, C., & Li, J. (2022). A survey on machine learning models for financial time series forecasting. Neurocomputing, 512(11), 363–380. https://doi.org/https://doi.org/10.1016/j.neucom.2022.09.003

Wang, T., Wang, X., Jiang, Y., Sun, Z., Liang, Y., Hu, X., Li, H., Shi, Y., Xu, J., & Ruan, J. (2022). Hybrid machine learning approach for evapotranspiration estimation of fruit tree in agricultural cyber-physical systems. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2022.3164542

Wu, J., Shen, L., Zhang, G., Zhou, Z., & Zhu, Q. (2022). Efficiency evaluation with data uncertainty. Annals of Operations Research, 22(04636), 1–25. https://doi.org/https://doi.org/10.1007/s10479-022-04636-0

Yazdanparast, R., Tavakkoli-Moghaddam, R., Heidari, R., & Aliabadi, L. (2021). A hybrid Z-number data envelopment analysis and neural network for assessment of supply chain resilience: a case study. Central European Journal of Operations Research, 29(12), 611–631. https://doi.org/https://doi.org/10.1007/s10100-018-0596-x

Zarrin, M., & Brunner, J. O. (2023). Analyzing the accuracy of variable returns to scale data envelopment analysis models. European Journal of Operational Research, 308(3), 1286–1301. https://doi.org/https://doi.org/10.1007/s40815-023-01519-9

Zhu, N., Zhu, C., & Emrouznejad, A. (2021). A combined machine learning algorithms and DEA method for measuring and predicting the efficiency of Chinese manufacturing listed companies. Journal of Management Science and Engineering, 6(4), 435–448. https://doi.org/https://doi.org/10.1016/j.jmse.2020.10.001

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Published

2023-01-30

How to Cite

Sihotang, H. T., Lavemaau, J., Riandari, F., Panjaitan, F. S., Gorat, S. E., & Batubara, J. (2023). Integrating the neural network into the stochastic DEA model. Idea: Future Research, 1(1), 5–13. https://doi.org/10.35335/idea.v1i1.2