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An Estimation of an Acceptable Efficiency Frontier Having an Optimum Resource Management Approach, with a Combination of the DEA-ANN-GA Technique (A Case Study of Branches of an Insurance Company)

Author

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  • Reza Sanei

    (Department of Industrial Engineering, Central Tehran Branch, Islamic Azad University, Tehran 1469669191, Iran)

  • Farhad Hosseinzadeh lotfi

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1469669191, Iran)

  • Mohammad Fallah

    (Department of Industrial Engineering, Central Tehran Branch, Islamic Azad University, Tehran 1469669191, Iran)

  • Farzad Movahedi Sobhani

    (Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 1469669191, Iran)

Abstract

In this paper, a novel artificial intelligence technique for the estimation of near-optimal resource management is proposed. The model utilizes a two-stage data envelopment analysis to find the best-practice frontier of the decision-making units. By employing this data, a supervised multi-layer Artificial Neural Network is exercised. This network is capable of predicting the frontier for the near future by receiving input and mediator variables. In the next step, a genetic algorithm is formed to find an optimal input value for the artificial neural network, such that the overall performance of decision-making units in the near future is maximized. The proposed algorithm allows the managers to set some restrictions on the whole system, including the minimum efficiency and the maximum change on resources. The performance of the presented technique is reviewed on 31 branches of an insurance company, during the years 2015 to 2018. The results show that the developed algorithm can efficiently maximize the overall performance of decision-making units.

Suggested Citation

  • Reza Sanei & Farhad Hosseinzadeh lotfi & Mohammad Fallah & Farzad Movahedi Sobhani, 2022. "An Estimation of an Acceptable Efficiency Frontier Having an Optimum Resource Management Approach, with a Combination of the DEA-ANN-GA Technique (A Case Study of Branches of an Insurance Company)," Mathematics, MDPI, vol. 10(23), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4503-:d:987453
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    References listed on IDEAS

    as
    1. Joe Zhu, 2014. "Quantitative Models for Performance Evaluation and Benchmarking," International Series in Operations Research and Management Science, Springer, edition 3, number 978-3-319-06647-9, September.
    2. Wanke, Peter & Barros, Carlos Pestana, 2016. "Efficiency drivers in Brazilian insurance: A two-stage DEA meta frontier-data mining approach," Economic Modelling, Elsevier, vol. 53(C), pages 8-22.
    3. J. Cummins & Hongmin Zi, 1998. "Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry," Journal of Productivity Analysis, Springer, vol. 10(2), pages 131-152, October.
    4. Claveria, Oscar & Torra, Salvador, 2014. "Forecasting tourism demand to Catalonia: Neural networks vs. time series models," Economic Modelling, Elsevier, vol. 36(C), pages 220-228.
    5. Fabio Bertoni & Annalisa Croce, 2011. "The Productivity of European Life Insurers: Best-Practice Adoption vs. Innovation," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(2), pages 165-185, April.
    6. Udhayakumar, A. & Charles, V. & Kumar, Mukesh, 2011. "Stochastic simulation based genetic algorithm for chance constrained data envelopment analysis problems," Omega, Elsevier, vol. 39(4), pages 387-397, August.
    7. Mahlberg, Bernhard & Url, Thomas, 2010. "Single Market effects on productivity in the German insurance industry," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1540-1548, July.
    8. Yanan Song & Xuejing Zhao, 2021. "Normality Testing of High-Dimensional Data Based on Principle Component and Jarque–Bera Statistics," Stats, MDPI, vol. 4(1), pages 1-12, March.
    9. Bernhard Mahlberg & Thomas Url, 2003. "Effects of the single market on the Austrian insurance industry," Empirical Economics, Springer, vol. 28(4), pages 813-838, November.
    10. F. Fecher & D. Kessler & S. Perelman & P. Pestieau, 1993. "Productive performance of the French insurance industry," Journal of Productivity Analysis, Springer, vol. 4(1), pages 77-93, June.
    11. Joe Zhu, 2014. "Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Quantitative Models for Performance Evaluation and Benchmarking, edition 3, chapter 1, pages 1-9, Springer.
    12. Barros, Carlos Pestana & Nektarios, Milton & Assaf, A., 2010. "Efficiency in the Greek insurance industry," European Journal of Operational Research, Elsevier, vol. 205(2), pages 431-436, September.
    13. Cummins, J. David & Xie, Xiaoying, 2008. "Mergers and acquisitions in the US property-liability insurance industry: Productivity and efficiency effects," Journal of Banking & Finance, Elsevier, vol. 32(1), pages 30-55, January.
    14. Jurgita Arnastauskaitė & Tomas Ruzgas & Mindaugas Bražėnas, 2021. "A New Goodness of Fit Test for Multivariate Normality and Comparative Simulation Study," Mathematics, MDPI, vol. 9(23), pages 1-20, November.
    15. Li, Haitao & Chen, Chialin & Cook, Wade D. & Zhang, Jinlong & Zhu, Joe, 2018. "Two-stage network DEA: Who is the leader?," Omega, Elsevier, vol. 74(C), pages 15-19.
    16. Zhishuo Zhang & Yao Xiao & Huayong Niu, 2022. "DEA and Machine Learning for Performance Prediction," Mathematics, MDPI, vol. 10(10), pages 1-23, May.
    17. Frances A Katrishen & Nicos A Scordis, 1998. "Economies of Scale in Services: A study of Multinational Insurers," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 29(2), pages 305-323, June.
    18. Kwadjo Ansah-Adu & Charles Andoh & Joshua Abor, 2011. "Evaluating the cost efficiency of insurance companies in Ghana," Journal of Risk Finance, Emerald Group Publishing, vol. 13(1), pages 61-76, December.
    19. Gardner, Lisa A. & Grace, Martin F., 1993. "X-Efficiency in the US life insurance industry," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 497-510, April.
    20. Khan, Atiquzzafar & Noreen, Uzma, 2014. "Efficiency Measure of Insurance v/s Tak ful Firms Using DEA Approach: A Case of Pakistan," Islamic Economic Studies, The Islamic Research and Training Institute (IRTI), vol. 22, pages 139-158.
    21. Chen, Yao & Cook, Wade D. & Zhu, Joe, 2010. "Deriving the DEA frontier for two-stage processes," European Journal of Operational Research, Elsevier, vol. 202(1), pages 138-142, April.
    22. Guo, Chuanyin & Abbasi Shureshjani, Roohollah & Foroughi, Ali Asghar & Zhu, Joe, 2017. "Decomposition weights and overall efficiency in two-stage additive network DEA," European Journal of Operational Research, Elsevier, vol. 257(3), pages 896-906.
    23. Karl C. Ennsfellner & Danielle Lewis & Randy I. Anderson, 2004. "Production Efficiency in the Austrian Insurance Industry: A Bayesian Examination," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(1), pages 135-159, March.
    24. Carlos Pestana Barros & Shunsuke Managi & Yuichiro Yoshida, 2011. "Heterogeneity On The Technical Efficiency In Japanese Airports," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 56(04), pages 523-534.
    25. Fukuyama, Hirofumi, 1997. "Investigating productive efficiency and productivity changes of Japanese life insurance companies," Pacific-Basin Finance Journal, Elsevier, vol. 5(4), pages 481-509, September.
    26. Huang, Wei & Eling, Martin, 2013. "An efficiency comparison of the non-life insurance industry in the BRIC countries," European Journal of Operational Research, Elsevier, vol. 226(3), pages 577-591.
    27. Ali Azadeh & Sayed Mohammad Asadzadeh & Somayeh Ahmadi Movaghar, 2011. "Implementation of data envelopment analysis–genetic algorithm for improved performance assessment of transmission units in power industry," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 8(1), pages 83-103.
    28. Sepideh Kaffash & Marianna Marra, 2017. "Data envelopment analysis in financial services: a citations network analysis of banks, insurance companies and money market funds," Annals of Operations Research, Springer, vol. 253(1), pages 307-344, June.
    29. Cummins, J. David & Rubio-Misas, Maria & Zi, Hongmin, 2004. "The effect of organizational structure on efficiency: Evidence from the Spanish insurance industry," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 3113-3150, December.
    30. Carlos Pestana Barros & Nazaré Barroso & Maria Rosa Borges, 2005. "Evaluating the Efficiency and Productivity of Insurance Companies with a Malmquist Index: A Case Study for Portugal," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 30(2), pages 244-267, April.
    31. Fenn, Paul & Vencappa, Dev & Diacon, Stephen & Klumpes, Paul & O'Brien, Chris, 2008. "Market structure and the efficiency of European insurance companies: A stochastic frontier analysis," Journal of Banking & Finance, Elsevier, vol. 32(1), pages 86-100, January.
    32. Chen, Fu-Hsiang & Chi, Der-Jang & Wang, Yi-Cheng, 2015. "Detecting biotechnology industry's earnings management using Bayesian network, principal component analysis, back propagation neural network, and decision tree," Economic Modelling, Elsevier, vol. 46(C), pages 1-10.
    33. J. David Cummins & Giuseppe Turchetti, 1996. "Productivity and Technical Efficiency in the Italian Insurance Industry," Center for Financial Institutions Working Papers 96-10, Wharton School Center for Financial Institutions, University of Pennsylvania.
    34. Carlos Pestana Barros & Peter Wanke, 2014. "Insurance companies in Mozambique: a two-stage DEA and neural networks on efficiency and capacity slacks," Applied Economics, Taylor & Francis Journals, vol. 46(29), pages 3591-3600, October.
    35. Hale Abdul Kader & Mike Adams & Philip Hardwick, 2010. "The Cost Efficiency of Takaful Insurance Companies," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 35(1), pages 161-181, January.
    36. Cummins, J. David & Weiss, Mary A., 1993. "Measuring cost efficiency in the property-liability insurance industry," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 463-481, April.
    37. Seyed Gholamreza Jalali Naini & Hamid Reza Nouralizadeh, 2012. "A Two-Stage DEA to Analyze the Effect of Entrance Deregulation on Iranian Insurers: A Robust Approach," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-24, August.
    38. J. David Cummins & Mary A. Weiss & Hongmin Zi, 1999. "Organizational Form and Efficiency: The Coexistence of Stock and Mutual Property-Liability Insurers," Management Science, INFORMS, vol. 45(9), pages 1254-1269, September.
    39. J. David Cummins & Xiaoying Xie, 2016. "Efficiency and Productivity in the US Property-Liability Insurance Industry: Ownership Structure, Product and Distribution Strategies," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, chapter 0, pages 113-163, Springer.
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