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Cost efficiency analysis using relational dynamic network DEA: a case study in the Indian banking sector

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Abstract

The present study develops a relational dynamic network data envelopment analysis (DEA) approach to measure the cost efficiency of a network-structured decision-making unit (DMU) in a dynamic environment wherein the periods are connected through carryovers, and the divisions of a network structure are interconnected through links. The production possibility sets for the system and each period are defined from the composition of the production possibility sets for the divisions. Moreover, the current study estimates the input–output cost-efficient targets for each underperforming division, period, and system. Finally, a case study in the Indian banking sector is presented to illustrate the validity of the proposed approach. The findings show that cost-efficient targets are beneficial for policymakers.

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References

  1. Ahmadkhano Gharakhanlo, Maghsood, Gasem Tohidi, Nima Azarmir Shotorbani, Shabnam Razavyan, and Roohollah Abbasi. 2023. Cost, Revenue and Profit Efficiency in multi-period network system: A DEA-R based Approach. Communications in Combinatorics and Optimization.

  2. Akbari, Sajad, Jafar Heydari, Mohammad Ali Keramati, and Abbas Keramati. 2020. A mixed system of network data envelopment analysis to evaluate the performance of bank branches: an illustration with Iranian banks. International Journal of Business Excellence 22 (2): 198–212.

    Google Scholar 

  3. Alves, Camila Guimarães Monteiro de Freitas, and Lídia Angulo Meza. 2023. A review of network DEA models based on slacks–based measure: Evolution of literature, applications, and further research direction. International Transactions in Operational Research.

  4. Banihashemi, Shokoofeh, and Ghasem Tohidi. 2013. Allocation efficiency in network DEA. International Journal of Data Envelopment Analysis 1 (2): 85–96.

    Google Scholar 

  5. Bansal, Pooja, Aparna Mehra, and Sunil Kumar. 2021. Dynamic metafrontier Malmquist-Luenberger productivity index in network DEA: an application to banking data. Computational Economics 1-28.

  6. Berger, Allen N., and David B. Humphrey. 1997. Efficiency of financial institutions: international survey and directions for future research. European Journal of Operational Research 98 (2): 175–212.

    Google Scholar 

  7. Camanho, Ana S., and Robert G. Dyson. 2005. Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments. European Journal of Operational Research 161 (2): 432–446.

    Google Scholar 

  8. Charnes, Abraham, William W. Cooper, and Edwardo Rhodes. 1978. Measuring the efficiency of decision making units. European Journal of Operational Research 2 (6): 429–444.

    MathSciNet  Google Scholar 

  9. Cook, Wade D., Liang Liang, and Joe Zhu. 2010. Measuring performance of two-stage network structures by DEA: a review and future perspective. Omega 38 (6): 423–430.

    Google Scholar 

  10. Díaz-Hernández, Juan José, Eduardo Martínez-Budría, and Juan José Salazar-González. 2014. Measuring cost efficiency in the presence of quasi-fixed inputs using dynamic data envelopment analysis: the case of port infrastructure. Maritime Economics & Logistics 16: 111–126.

    Google Scholar 

  11. Eslami, Robabeh, and Mohammad Khoveyni. 2022. A novel enhanced Russell graph efficiency measure in network DEA. International Journal of Information Technology & Decision Making 21 (2): 789–819.

    Google Scholar 

  12. Fang, Lei, and Hecheng Li. 2015. Cost efficiency in data envelopment analysis under the law of one price. European Journal of Operational Research 240 (2): 488–492.

    MathSciNet  CAS  Google Scholar 

  13. Farrell, Michael James. 1957. The measurement of productive efficiency. Journal of the Royal Statistical Society 120 (3): 253–281.

    Google Scholar 

  14. Färe, Rolf, Shawna Grosskopf, C.A. Knox, and Lovell. 1985. The Measurement of efficiency of production. Boston: Kluwer-Academic Publishers.

  15. Färe, Rolf, and Shawna Grosskopf. 1996. Intertemporal Production Frontiers: With Dynamic DEA. Boston: Kluwer Academic Publishers.

    Google Scholar 

  16. Fukuyama, Hirofumi, and William L. Weber. 2013. A dynamic network DEA model with an application to Japanese Shinkin banks, 193–213. Efficiency and productivity growth: Modelling in the financial services industry.

    Google Scholar 

  17. Fukuyama, Hirofumi, Roman Matousek, and Nickolaos G. Tzeremes. 2020. A Nerlovian cost inefficiency two-stage DEA model for modeling banks’ production process: evidence from the Turkish banking system. Omega 95: 102198.

    Google Scholar 

  18. Ghobadi, Saeid, Gholam Reza Jahanshahloo, F. Hosseinzadeh Lotfi, and Mohsen Rostamy-Malkhalifeh. 2018. Efficiency measure under inter-temporal dependence. International Journal of Information Technology & Decision Making 17 (2): 657–675.

    Google Scholar 

  19. Goto, Mika, and Miki Tsutsui. 1998. Comparison of productive and cost efficiencies among Japanese and US electric utilities. Omega 26 (2): 177–194.

    Google Scholar 

  20. Hajiani, Masoomeh, and Reza Fallahnejad. 2021. Cost efficiency estimation in network DEA in the case of varying input prices. Journal of Mathematical Extension 16 (4): 1–51.

    Google Scholar 

  21. Herrera-Restrepo, Oscar, Konstantinos Triantis, Joseph Trainor, Pamela Murray-Tuite, and Praveen Edara. 2015. A multi-perspective dynamic network performance efficiency measurement of an evacuation: a dynamic network-DEA approach. Omega 60: 45–59.

    Google Scholar 

  22. Holod, Dmytro, and Herbert F. Lewis. 2011. Resolving the deposit dilemma: a new DEA bank efficiency model. Journal of Banking & Finance 35 (11): 2801–2810.

    Google Scholar 

  23. Kang, Chao-Chung., Cheng-Min. Feng, Ping-Fung. Chou, Wann-Ming. Wey, and Haider A. Khan. 2023. Mixed network DEA models with shared resources for measuring and decomposing performance of public transportation systems. Research in Transportation Business & Management 46: 100828.

    Google Scholar 

  24. Kao, Chiang, and Shiuh-Nan. Hwang. 2008. Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan. European journal of operational research 185 (1): 418–429.

    Google Scholar 

  25. Kao, Chiang. 2009. Efficiency measurement for parallel production systems. European journal of operational research 196 (3): 1107–1112.

    MathSciNet  Google Scholar 

  26. Kao, Chiang. 2014. Efficiency decomposition for general multi-stage systems in data envelopment analysis. European Journal of Operational Research 232 (1): 117–124.

    MathSciNet  Google Scholar 

  27. Kao, Chiang. 2014. Network data envelopment analysis: a review. European journal of operational research 239 (1): 1–16.

    MathSciNet  Google Scholar 

  28. Khezrimotlagh, Dariush, Zahra Mohsenpour, and Shaharuddin Salleh. 2012. Cost-efficiency by Arash method in DEA. Applied Mathematical Sciences 6 (104): 5179–5184.

    Google Scholar 

  29. Kordrostami, Sohrab, and Monireh Jahani Sayyad Noveiri. 2022. Cost efficiency analysis of heterogeneous network processes. Economic Computation & Economic Cybernetics Studies & Research 56(3).

  30. Koronakos, Gregory. 2019. A taxonomy and review of the network data envelopment analysis literature. Machine Learning Paradigms: Applications of Learning and Analytics in Intelligent Systems: 255-311.

  31. Kremantzis, Marios Dominikos, Patrick Beullens, Leonidas Sotirios Kyrgiakos, and Jonathan Klein. 2022. Measurement and evaluation of multi-function parallel network hierarchical DEA systems. Socio-Economic Planning Sciences 84: 101428.

    Google Scholar 

  32. Kuosmanen, Timo, and Thierry Post. 2001. Measuring economic efficiency with incomplete price information: with an application to European commercial banks. European Journal of Operational Research 134 (1): 43–58.

    Google Scholar 

  33. Li, Yongjun, Yao Chen, Liang Liang, and Jianhui Xie. 2012. DEA models for extended two-stage network structures. Omega 40 (5): 611–618.

    Google Scholar 

  34. Lozano, Sebastián. 2011. Scale and cost efficiency analysis of networks of processes. Expert Systems with Applications 38 (6): 6612–6617.

    Google Scholar 

  35. Mariz, Fernanda BAR., Mariana R. Almeida, and Daniel Aloise. 2018. A review of dynamic data envelopment analysis: state of the art and applications. International Transactions in Operational Research 25 (2): 469–505.

    MathSciNet  Google Scholar 

  36. Mozaffari, Mohammad Reza, P. Kamyab, Josef Jablonsky, and Javad Gerami. 2014. Cost and revenue efficiency in DEA-R models. Computers & Industrial Engineering 78: 188–194.

    Google Scholar 

  37. Nemoto, Jiro, and Mika Goto. 1999. Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies. Economics Letters 64 (1): 51–56.

    Google Scholar 

  38. Nemoto, Jiro, and Mika Goto. 2003. Measurement of dynamic efficiency in production: an application of data envelopment analysis to Japanese electric utilities. Journal of Productivity analysis 19: 191–210.

    Google Scholar 

  39. Noveiri, Monireh Jahani, and Sayyad, and Sohrab Kordrostami. 2022. Meta-Frontier Stochastic Cost and Revenue Efficiency Analysis: An Application to Bank Branches. International Journal of Information Technology & Decision Making (IJITDM) 21 (6): 1879–1903.

  40. Omrani, Hashem, and Elham Soltanzadeh. 2016. Dynamic DEA models with network structure: an application for Iranian airlines. Journal of Air Transport Management 57: 52–61.

    Google Scholar 

  41. Pourmahmoud, Jafar, and Naser Bafekr Sharak. 2018. Measuring cost efficiency with new fuzzy DEA models. International Journal of Fuzzy Systems 20 (1): 155–162.

    MathSciNet  Google Scholar 

  42. Poudineh, Elham, Mohsen Rostamy-Malkhalifeh, Ali Payan, and AbbasAli Noura. 2020. A fully fuzzy DEA approach for network cost efficiency measurement based on ranking functions. Italian Journal of Pure and Applied Mathematics 44: 170–187.

    Google Scholar 

  43. Puri, Jolly, and Shiv Prasad Yadav. 2015. A fully fuzzy DEA approach for cost and revenue efficiency measurements in the presence of undesirable outputs and its application to the banking sector in India. International Journal of Fuzzy Systems 18: 212–226.

    MathSciNet  Google Scholar 

  44. Puri, Jolly, and Shiv Prasad Yadav. 2015. Intuitionistic fuzzy data envelopment analysis: an application to the banking sector in India. Expert Systems with Applications 42 (11): 4982–4998.

    Google Scholar 

  45. Ratner, Svetlana V., Artem M. Shaposhnikov, and Andrey V. Lychev. 2023. Network DEA and its applications (2017–2022): a systematic literature review. Mathematics 11 (9): 2141.

    Google Scholar 

  46. Razipour-GhalehJough, Somayeh, Farhad Hosseinzadeh Lotfi, Mohsen Rostamy-Malkhalifeh, and Hamid Sharafi. 2021. Benchmarking bank branches: a dynamic DEA approach. Journal of Information and Optimization Sciences 42 (6): 1203–1236.

    Google Scholar 

  47. RBI. 2022. https://www.rbi.org.in/Scripts/AnnualPublications.aspx?head=Statistical%20Tables%20Relating%20to%20Banks%20in%20India

  48. Sahoo, Biresh K., Mahmood Mehdiloozad, and Kaoru Tone. 2014. Cost, revenue and profit efficiency measurement in DEA: a directional distance function approach. European Journal of Operational Research 237 (3): 921–931.

    MathSciNet  Google Scholar 

  49. Seyedboveir, Soheila, Sohrab Kordrostami, Behrouz Daneshian, and Alireza Amirteimoori. 2017. Cost efficiency measurement in data envelopment analysis with dynamic network structures: a relational model. Asia-Pacific Journal of Operational Research 34 (5): 1750023.

    MathSciNet  Google Scholar 

  50. Shafiee, Morteza, Mohammad Sangi, and Mehdi Ghaderi. 2013. Bank performance evaluation using dynamic DEA: a slacks-based measure approach. Journal of Data Envelopment Analysis and Decision Science 2013 (26): 1–12.

    Google Scholar 

  51. Sherman, H. David., and Franklin Gold. 1985. Bank branch operating efficiency: evaluation with data envelopment analysis. Journal of Banking & Finance 9 (2): 297–315.

    Google Scholar 

  52. Shi, Xiao, Yongjun Li, Ali Emrouznejad, Jianhui Xie, and Liang Liang. 2017. Estimation of potential gains from bank mergers: a novel two-stage cost efficiency DEA model. Journal of the Operational Research Society 68: 1045–1055.

    Google Scholar 

  53. Soleimani-Chamkhorami, Khosro, and Saeid Ghobadi. 2021. Cost-efficiency under inter-temporal dependence. Annals of Operations Research 302 (1): 289–312.

    MathSciNet  Google Scholar 

  54. Sueyoshi, Toshiyuki, and Kazuyuki Sekitani. 2005. Returns to scale in dynamic DEA. European Journal of Operational Research 161 (2): 536–544.

    MathSciNet  Google Scholar 

  55. Tavana, Madjid, Mohammad Izadikhah, Debora Di Caprio, and Reza Farzipoor Saen. 2018. A new dynamic range directional measure for two-stage data envelopment analysis models with negative data. Computers & Industrial Engineering 115: 427–448.

    Google Scholar 

  56. Tone, Kaoru. 2002. A strange case of the cost and allocative efficiencies in DEA. Journal of the Operational Research Society 53 (11): 1225–1231.

    Google Scholar 

  57. Tone, Kaoru, and Miki Tsutsui. 2010. Dynamic DEA: a slacks-based measure approach. Omega 38 (3–4): 145–156.

    Google Scholar 

  58. Tone, Kaoru, and Miki Tsutsui. 2014. Dynamic DEA with network structure: a slacks-based measure approach. Omega 42 (1): 124–131.

    Google Scholar 

  59. Vaez-Ghasemi, Mohsen, Zohreh Moghaddas, and Reza Farzipoor Saen. 2022. Cost efficiency evaluation in sustainable supply chains with marginal surcharge values for harmful environmental factors: a case study in a food industry. Operational Research 22 (5): 5897–5912.

    Google Scholar 

  60. Wang, Chia-Nan., Quoc-Chien. Luu, Thi-Kim-Lien. Nguyen, and Jen-Der. Day. 2019. Assessing bank performance using dynamic SBM model. Mathematics 7 (1): 73.

    MathSciNet  Google Scholar 

  61. Wanke, Peter, Michael Skully, Mahinda Wijesiri, Thomas Walker, and Lucia dalla Pellegrina. 2022. Does ownership structure affect firm performance? Evidence of Indian bank efficiency before and after the Global Financial Crisis. International Transactions in Operational Research 29 (3): 1842–1867.

  62. Zha, Yong, Nannan Liang, Wu. Maoguo, and Yiwen Bian. 2016. Efficiency evaluation of banks in China: a dynamic two-stage slacks-based measure approach. Omega 60: 60–72.

    Google Scholar 

  63. Zhu, Yuanchang, Yongjun Li, and Liang Liang. 2018. A variation of two-stage SBM with leader-follower structure: an application to Chinese commercial banks. Journal of the operational research society 69 (6): 840–848.

    Google Scholar 

  64. Zhu, Yongfeng, Zilong Wang, Jie Yang, and Zhiwen Zhang. 2022. Evaluating performance of innovation resource allocation in industrial enterprises: an improved two-stage DEA model. Technology Analysis & Strategic Management: 1-23.

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Acknowledgements

The first author is thankful to the FIST grant (SR/FST/MS-I/2017/13) for providing support facilities in Thapar Institute of Engineering and Technology, Patiala, that helped in the smooth conduct of the present work.

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Correspondence to Jolly Puri.

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Kaur, R., Puri, J. Cost efficiency analysis using relational dynamic network DEA: a case study in the Indian banking sector. J Anal 32, 243–267 (2024). https://doi.org/10.1007/s41478-023-00632-0

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