The application of multivariate analysis approaches to designing NSBM model considering undesirable variable and shared resources

Document Type : Article

Authors

1 Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.

2 Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

Abstract

Due to the competitiveness of banking industry and increasing bargaining power of customers, evaluation of the banks’ performance is crucial to better serve the classified customers in a universal system .In this paper, with consideration of segmenting the customers into personal and business ones, methods such as confirmatory factor analysis (CFA) and structural equation model (SEM) have been used in selecting appropriate variables of the network data envelopment analysis (NDEA) model based on network slacks-based measure and consideration of the undesirable variables and shared resources. The SEM model has been used to establish a proper connection between the different dimension of the NDEA model and CFA model has been used to identify the importance of each dimension. Also, the proposed model has been used to measure the Operational and decomposed universal efficiency of one of the Iranian bank branches (Day Bank). The results show that the extracted model provides managers with a suitable perspective in adopting appropriate policies to promote their performance in the different sectors, including deposit attraction, financial serving personal and business banking customers, and profit generation, and also in comparing them in the different dimensions of the model.

Keywords

Main Subjects

References

References:
1. Amado, C.A.F., Santos, S.P., and Marques, P.M. -"Integrating the data envelopment analysis and the balanced scorecard approaches for enhanced performance assessment", Omega, 40, pp. 390-403 (2012).
2. Charnes, A., Cooper, W.W., and Rhodes, E.L. "Measuring the efficiency of decision making units", European Journal of Operational Research, 2(6), pp. 429-444 (1978).
3. Lewis, H.F. and Sexton, T.R. "Network DEA: efficiency analysis of organizations with complex internal structure", Computers & Operations Research, 31(9), pp. 1365-1410 (2004).
4. Fukuyama, H. and Weber, W.L. "A slacks-based inefficiency measure for a two-stage system with bad outputs", Omega, 38(5), pp. 398-409 (2010).
5. Fare, R. and Grosskopf, S. "Network DEA", Socio- Economic Planning Sciences, 34(1), pp. 35-49 (2000).
6. Sexton, T.R. and Lewis, H.F. "Two-stage DEA: An application to major league baseball", Journal of Productivity Analysis, 19(2-3), pp. 227-249 (2003).
7. Tone, K. and Tsutsui, M. "Network DEA: a slacksbased measure approach", European Journal of Operational Research, 197(1), pp. 243-252 (2009).
8. Avkiran, N.K. "Opening the black box of efficiency analysis: an illustration with UAE banks", Omega, 37(4), pp. 930-941 (2009).
9. Holod, D. and Lewis, H.F. "Resolving the deposit dilemma: A new DEA bank efficiency model", Journal of Banking & Finance, 35(11), pp. 2801-2810 (2011).
10. Kao, C. and Hwang, S.N. "Efficiency measurement for network systems: IT impact on firm performance", Decision Support Systems, 48(3), pp. 437-446 (2010).
11. Ebrahimnejad, A., Tavana, M., Hosseinzadeh Lotfi, F., Shahverdi, R., and Yousefpour, M. "A three-stage data envelopment analysis model with application to banking industry", Measurement, 49, pp. 308-319 (2014).
12. Huang, J.H., Yang, X.G., Cheng, G., and Wang, S.Y. "A comprehensive eco-efficiency model and dynamics of regional eco-efficiency in China", Journal of Cleaner Production, 67, pp. 228-238 (2014).
13. Huang, J., Chen, J., and Yin, Z. "A network DEA model with super efficiency and undesirable outputs: An application to bank efficiency in China", Mathematical Problems in Engineering, 2014, pp. 1-14 (2014).
14. Tavassoli, M., Farzipoor Saen, R., and Faramarzi, G.R. "A new super-efficiency model in the presence of both zero data and undesirable outputs", Scientia Iranica, Transactions E: Industrial Engineering, 21, pp. 2360-2367 (2014).
15. Olfat, L., Amiri, M., Soufi, J., and Pishdar, M. "A dynamic network efficiency measurement of airports performance considering sustainable development concept: A fuzzy dynamic network-DEA approach", Journal of Air Transport Management, 57, pp. 272-29 (2016).
16. Zha, Y. and Liang, L. "Two-stage cooperation model with input freely distributed among the stages", European Journal of Operational Research, 205, pp. 332-338 (2010).
17. Wu, J., Zhu, Q., Ji, X., Chu, J., and Liang, L. "Two-stage network processes with shared resources and resources recovered from undesirable outputs", European Journal of Operational Research, 251, pp. 182-197 (2016).
18. Zegordi, S.H. and Omid, A. "Efficiency assessment of Iranian handmade carpet company by network DEA", Scientia Iranica, Transactions E: Industrial Engineering, 25, pp. 483-491 (2018).
19. Tavassoli, M., Faramarzi, G.R., and Farzipoor Saen, R. "Efficiency and effectiveness in airline performance using a SBM-NDEA model in the presence of shared input", Journal of Air Transport Management, 34, pp. 146-153 (2014).
20. Bian, Y. "A Gram-Schmidt process based approach for improving DEA discrimination in the presence of large dimensionality of data set", Expert Systems with Applications, 39(3), pp. 3793-3799 (2012).
21. Jenkins, L. and Anderson, M. "A multivariate statistic approach to reducing the number of variables in data envelopment analysis", European Journal of Operational Research, 147(1), pp. 51-61 (2003).
22. Bagheria, R., Rezaeiana, A., and Fazlalyb, A. "A mathematical model to evaluate knowledge in the knowledge-based organizations", Scientia Iranica, Transactions E: Industrial Engineering, 22, pp. 2716- 2721 (2015).
23. Pedraja-Chaparro, F., Salinas-Jimenez, J., and Smith, P. "On the quality of the data envelopment analysis model", Journal of the Operational Research Society, 50(6), pp. 636-644 (1999).
24. Berger, A. and Humphrey, D. "Efficiency of financial institutions: International survey and directions for future research", European Journal of Operational Research, 98, pp. 175-212 (1997).
25. Golany, B. and Roll, Y. "An application procedure for DEA", Omega, 17(3), pp. 237-250 (1989).
26. Adler, N. and Golany, B. "Evaluation of deregulated airline networks using data envelopment analysis combined with principle component analysis with an application to Western Europe", European Journal of Operational Research, 132(2), pp. 260-273 (2001).
27. Adler, N. and Golany, B. "Including principle component weights to improve discrimination in data envelopment analysis", Journal of the Operational Research Society, 53(9), pp. 985-99 (2002).
28. Adler, N. and Yazhemsky, E. "Improving discrimination in data envelopment analysis: PCA-DEA or variable reduction", European Journal of Operational Research, 202(1), pp. 273-284 (2010).
29. Kao, L.J., Lu, C.J., and Chiu, C.C. "Efficiency measurement using independent component analysis and data envelopment analysis", European Journal of Operational Research, 210(2), pp. 310-317 (2011).
30. Hyvarinen, A. and Oja, E. "Independent component analysis: algorithms and applications", Neural Networks, 13(4-5), pp. 411-430 (2000).
31. Lin, T.Y. and Chiu, S.H. "Using independent component analysis and network DEA to improve bank performance evaluation", Economic Modelling, 32, pp. 608-616 (2013).
32. Ebrahimpour, M., Olfat, L., Amiri, M., and Bamdad Soofi, J. "A Network data envelopment analysis model for supply chain performance evaluation: real case of Iranian pharmaceutical industry", International Journal of Industrial Engineering & Production Research, 25(2), pp. 125-137 (2013).
33. Aslania, G., Momeni-Masuleh, S.H. Malekand, A., and Ghorbani, F. "Bank efficiency evaluation using a neural network-DEA method", Iranian Journal of Mathematical Sciences and Informatics, 4(2), pp. 33- 48 (2009).
34. Fries, S. and Taci, A. "Cost efficiency of banks in transition: evidence from 289 banks in 15 post-communist countries", Journal of Banking and Finance, 29(1), pp. 55-81 (2005).
35. Bonin, J.P., Hasan, I., and Wachtel, P. "Bank performance, efficiency and ownership in transition countries", Journal of Banking and Finance, 29(1), pp. 31-53 (2005).
36. Berger, A.N., Clarke, G.R.G., Cull, R., Klapper, L., and Udell, GF. "Corporate governance and bank performance: a joint analysis of the static, selection, and dynamic effects of domestic, foreign, and state ownership", Journal of Banking and Finance, 29, pp. 2179-2221 (2005).
37. Bonaccorsi di Patti, E. and Hardy, D. "Financial sector liberalization, bank privatization, and efficiency: evidence from Pakistan", Journal of Banking and Finance, 29, pp. 2381-2406 (2005).
38. Bonin, J.P., Hasan, I., and Wachtel, P. "Privatization matters: bank efficiency in transition countries", Journal of Banking and Finance, 29, pp. 2155-2178 (2005).
39. Shafiee, M., Sangi, M., and Ghaderi, M. "Bank performance evaluation using dynamic DEA: A slacksbased measure approach", Journal of Data Envelopment Analysis and Decision Science, 2013, pp. 1-12 (2013).
40. Boubakri, N., Cosset, J.C., Fischer, K., and Guedhami, O. "Privatization and bank performance in developing countries", Journal of Banking and Finance, 29, pp. 2015-2041 (2005).
41. Williams, J. and Nguyen, N. "Financial liberalization, crisis, and restructuring: a comparative study of bank performance and bank governance in south east Asia", Journal of Banking and Finance, 29, pp. 2119- 2154 (2005).
42. Fu, X. and Heffernan, S. "Cost X-efficiency in China's banking sector", China Economic Review, 18, pp. 35- 53 (2007).
43. Keikha-Javan, S., Rostamy-Malkhalifeh, M., and Payan, A. "The parallel network dynamic DEA model with interval data", Journal of Data Envelopment Analysis and Decision Science, 2014, pp. 1-11 (2014).
44. Castelli, L., Pesenti, R., and Ukovich, W.A. "Classification of DEA models when the internal structure of the decision making units is considered", Annals of Operations Research, 173(1), pp. 207-235 (2010).
45. Fare, R. "Measuring Farrell efficiency for a firm with intermediate inputs", Academia Economic Papers, 19(12), pp. 329-340 (1991).
46. Fare, R. and Grosskopf, S., Intertemporal Production Frontiers: With Dynamic DEA, Kluwer Academic Publishers, pp. 158-160, Boston, London (1996).
47. Fare, R. and Grosskopf, S. "Productivity and intermediate products: A frontier approach", Economics Letters, 50(1), pp. 65-70 (1996).
48. Fare, R. and Grosskopf, S. "Network DEA", Socio-Economic Planning Sciences, 34(1), pp. 35-49 (2000).
49. Fare, R. and Whittaker, G. "An intermediate input model of dairy production using complex survey data", Journal of Agricultural Economics, 46(2), pp. 201-213 (1995).
50. Tone, K. and Tsutsui, M. "Dynamic DEA: A slacksbased measure approach", Omega, 38(3-4), pp. 145- 156 (2010).
51. Hsieh, L.F. and Lin, L.H. "A performance evaluation model for international tourist hotels in Taiwan - An application of the relational network DEA", International Journal of Hospitality Management, 29, pp. 14-24 (2010).
52. Kao, C. "Network data envelopment analysis: A review", European Journal of Operational Research, 239, pp. 1-16 (2014).
53. Agrell, P.J., Hatami-Marbini, A., and Ukovich, W.A. "Frontier-based performance analysis models for supply chain management: State of the art and research directions", Computers & Industrial Engineering, 66(3), pp. 567-583 (2013).
54. Koronakos, G., Sotiros, D., and Despotis, D.K. "Reformulation of network data envelopment analysis models using a common modelling framework", European Journal of Operational Research, 287, pp. 472-480 (2019).
55. Chen, Y., Cook, W.D., Kao, C., and Zhu, J. "Network DEA pitfalls: divisional efficiency and frontier projection under general network structures", European Journal of Operational Research, 226, pp. 507-515 (2013).
56. Despotis, D.K., Koronakos, G., Sotiros, D., and Zhu, J. "Composition versus decomposition in two-stage network DEA: a reverse approach", Journal of Productivity Analysis, Journal of Productivity Analysis, 45(1), pp. 71-87 (2016).
57. Ang, S. and Chen, C.M. "Pitfalls of decomposition weights in the additive multi-stage DEA model", Omega-Int. J. Manage, 53, pp. 139-153 (2016).
58. Sotiros, D., Koronakos G., and Despotis, D.K. "Dominance at the divisional efficiencies level in network DEA: The case of two-stage processes", Omega, Elsevier, 85(C), pp. 144-155 (2019).
59. Tone, K. "A slacks-based measure of efficiency in data envelopment analysis", European Journal of Operational Research, 130, pp. 498-509 (2001).
60. Smith, P. "Model misspecification in data envelopment analysis", Annals of Operations Research, 73, pp. 233-252 (1997).
61. Necmi, K.A. and Alan, M. "Sensitivity analysis of network DEA: NSBM versus NRAM", Applied Mathematics and Computation, 218, pp. 11226-11239 (2012).
62. Lothgren, M. and Tambour, M. "Productivity and customer satisfaction in Swedish pharmacies: A DEA network model", EJOR, 115(3), pp. 449-458 (1999).
63. Tone, K., Advances in DEA Theory and Applications: With Extensions to Forecasting Models, John Wiley & Sons Ltd, pp. 119-1, UK (2017).
64. Resti, A. "Evaluating the cost-efficiency of the Italian banking system: What can be learned from the joint application of parametric and non-parametric techniques", Journal of Banking and Finance, 21, pp. 221-250 (1997).
65. Devaney, M. and Weber, W.L. "Small-business lending and profit efficiency in commercial banking", Journal of Financial Services Research, 22, pp. 225- 246 (2002).
66. Glass, J.C., McKillop, D.G., and Rasaratnam, S. "Irish credit unions: investigating performance determinants and the opportunity cost of regulatory compliance", Journal of Banking and Finance, 34, pp. 67-76 (2010).
67. Isik, I. and Hassan, M.K. "Technical, scale and allocative efficiencies of Turkish banking industry", Journal of Banking and Finance, 26, pp. 719-766 (2002).
68. Beccalli, E., Casu, B., and Girardone, C. "Efficiency and stock performance in European banking", Journal of Business Finance and Accounting, 33, pp. 218-235 (2006).
69. Giokas, I.D. "Assessing the efficiency in operations of a large Greek bank branch network adopting different economic behaviors", Economic Modelling, 2(3), pp. 559-547 (2008).
70. Sturm, J.E. and Williams, B. "Characteristics determining the efficiency of foreign banks in Australia", Journal of Banking and Finance, 32(11), pp. 2346-60 (2008).
71. Thanassoulis, E., Portela, C.S.M., and Despic, O., Data Envelopment Analysis: The Mathematical Programming Approach to Efficiency Analysis, Oxford University Press, pp. 270-300, New York (2008).
72. Lozano-Vivas, A. and Pasiouras, F. "The impact of non-traditional activities on the estimation of bank efficiency: international evidence", Journal of Banking and Finance, 34(7), pp. 1436-1449 (2010).
73. Hsiao, H., Chang, H., Cianci, A.M., and Huang, L. "First financial restructuring and operating efficiency: evidence from Taiwanese commercial banks", Journal of Banking and Finance, 34(7), pp. 1461-1471 (2010).
74. Banker, R.D., Chang, H., and Lee, S. "Differential impact of Korean banking system reforms on bank productivity", Journal of Banking and Finance, 34(7), pp. 1450-1460 (2010).
75. Bergendahl, G. and Lindblom, T. "Evaluating the performance of Swedish savings banks according to service efficiency", European Journal of Operational Research, 185, pp. 1663-1673 (2008).
76. Beverly, H. "The impact of network size on bank branch performance", Journal of Banking & Finance, 31(12), pp. 3782-3805 (2007).
77. Giokas, D.I. "Cost efficiency impact of bank branch characteristics and location. An illustrative application to Greek bank branches", Managerial Finance, 34(3), pp. 172-185 (2008).
78. Portela, M.C.A.S. and Thanassoulis, E. "Comparative efficiency analysis of Portuguese bank branches", European Journal of Operational Research, 177, pp. 1275-1288 (2007).
79. Paradi, J.C., Min, E., and Yang, X. "Evaluating Canadian bank branch operational efficiency from staff allocation: A DEA approach", Management and Organizational Studies, 2(1), pp. 52-65 (2015).
80. Paradi, J.C. and Zhu, H. "A survey on bank branch efficiency and performance research with data envelopment analysis", Omega, 41, pp. 61-79 (2013).
81. Rakhshan, F., Alirezaee, M.R., Mohammadzadeh Modirii, M., and Iranmanesh, M. "An insight into the model structures applied in DEA-based bank branch efficiency measurements", Journal of Industrial and Systems Engineering, 9(2), pp. 38-53 (2016).
82. Satoshi, O. and Masako, T. "Management efficiency in Japanese regional banks: A network DEA", Procedia-Social and Behavioral Sciences, 172, pp. 511-518 (2015).
83. Cooka, W.D. and Zhub, J. "Classifying inputs and outputs in data envelopment analysis", European Journal of Operational Research, 180, pp. 692-699(2007).
84. Wanga, K., Huangb, W., Wuc, J., and Liu, Y.N. "Efficiency measures of the Chinese commercial banking system using an additive two-stage DEA", Omega, 44, pp. 5-20 (2014).
85. Wu, H.Y. "Constructing a strategy map for banking institutions with key performance indicators of the balanced scorecard", Valuation and Program Planning, 35, pp. 303-320 (2012).
86. Najafi, K. and Andervazh, L. "Compare the performance of customer satisfaction and loyalty in the mobile service business bank, bank Saderat between Ahvaz and Pasargad bank study uses data envelopment analysis", Journal of Applied Environmental and Biological Sciences, 5(10), pp. 246-251 (2015).
87. Wenbin, L.B., Zhongbao, Z.N., Chaoqun, M., Debin, L., and Wanfang, S. "Two-stage DEA models with undesirable input-intermediate-outputs", Omega, 56, pp. 74-87 (2015).
88. Shahhoseini, M.A., Khassehkhan, S., and Shanyani, N. "Identifying key performance indicators of an Iranian Islamic bank based on BSC and AHP", Journal of American Science, 8(1), pp. 64-73 (2012).
89. Mostafa, M. "Modeling the efficiency of GCC banks: a data envelopment analysis approach", International Journal of Productivity and Performance Management, 56(7), pp. 623-643 (2007).
90. Bolt, W. and Humphrey, D. "Banking competition efficiency in Europe: A frontier approach", Journal of Banking and Finance, 34(8), pp. 1808-1817 (2010).
91. Chen, P. and Liu, C.Z. "Efficiency on the property market by DEA analysis based on SEM", International Conference on Management Science & Engineering (14th), August 20-22, pp. 2318-2324 (2007).
92. Wagner, J.M. and Daniel, G.S. "Stepwise selection of variables in data envelopment analysis: Procedures and managerial perspectives", European Journal of Operational Research, 180(1), pp. 57-67 (2007).
93. Nataraja, N.R. and Johnson, A.L. "Guidelines for using variable selection techniques in data envelopment analysis", European Journal of Operational Research, 215(3), pp. 662-669 (2011).
94. Aslan, N., Shahrivar, A.A., and Abdollahi, H.  Multiobjective optimization of some process parameters of a lab-scale thickener using grey relational analysis", Separation and Purification Technology, 90, pp. 189-195 (2012).
95. Qin, Z. and Song, I., Joint Variable Selection for Data Envelopment Analysis via Group Sparsity (March 9, 2014). Available at SSRN: https://ssrn.com/abstract=2406690 or http://dx.doi.org/10.2139/ssrn.2406690.
96. Chao, H., Chong, D., and Miao, G. "A hybrid approach using two-level DEA for financial failure prediction and integrated SE-DEA and GCA for indicator selection", Applied Mathematics and Computation, 251, pp. 431-441 (2015).
97. Kirschkamp, A. "A contingency based view of chief executive officers' early warning behavior", Deutscher Universitatsverlag, pp. 250-265, Germany (2008).
98. Hox, J.J. "An introduction to structural equation modeling", Family Science Review, 11, pp. 354-373 (1998).
99. Henseler, J., Ringle, C.M., and Sinkovics, R.R. "The use of partial least squares path modeling in international marketing", Advances in International Marketing, 20, pp. 227-320 (2009).
100. Hulland, J. "Use of partial least squares (PLS) in strategic management research: A review of four recent studies", Strategic Management Journal, 20(2), pp. 195-204 (1999).
101. Cinca, C.S. and Molinero, C.M. "Selecting DEA specifications and ranking units via PCA", Journal of the Operational Research Society, 55(5), pp. 521- 5289 (2004).
102. Tone, K. "A slacks-based measure of efficiency in data envelopment analysis", European Journal of Operational Research, 130, pp. 498-509 (2001).
Scientia Iranica
Volume 27, Issue 2
Transactions on Industrial Engineering (E)
March and April 2020
Pages 893-917

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