Evaluation of the inefficiency in the assembly and body line of Iran Khodro Group using two-stage non-cooperative data envelopment analysis

Document Type : Research Paper

Authors

1 Department of Industrial Management, Fi.C., Islamic Azad University, Firuzkoh, Iran

2 Department of Mathematics, ST.C., Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Fi.C., Islamic Azad University, Firoozkooh, Iran

Abstract

Data envelopment analysis (DEA) is one of the fundamental methods for analyzing the performance of a homogeneous set of decision-making units. Recently, DEA has been developed and applied to multi-stage processes. The essential feature of multi-stage processes is the presence of non-optimal intermediate outputs, which are usually not the final output of the system. This study used a new approach to analyze the reuse of non-optimal intermediate outputs in a two-stage production process with common resources. Ultimately, non-cooperative efficiency criteria were used to demonstrate unit efficiency. Finally, the unit under study is relatively inefficient from the perspective of the non-cooperative model related to the assembly and body production line of Iran Khodro.

Keywords

[1] S. Akbari, J. Heydari, M. Keramatic, and A. Keramati, Designing a mixed system of network DEA for evaluating the efficiency of branches of commercial banks in Iran, Adv. Math. Finance Appl. 4 (2019), no. 1, 1–13.
[2] A. Amirteimoori and F. Yang, A DEA model for two-stage parallel-series production processes, RAIRO Oper. Res. 48 (2014), no. 1, 123–134.
[3] R.D. Banker, A. Charnes, and W.W. Cooper, Some models for the estimation of technical and scale inefficiencies in data envelopment analysis, Manag. Sci. 30 (1984), no. 9, 1078–1092.
[4] S. Chaabouni, China’s regional tourism efficiency: A two-stage double bootstrap data envelopment analysis, J. Destin. Mark. Manag. 11 (2019), 183–191.
[5] A. Charnes, W.W. Cooper, and E.L. Rhodes, Measuring the efficiency of decision-making units, Eur. J. Oper. Res. 2 (1978), no. 6, 429–444.
[6] Y. Chen and J. Zhu, Measuring information technology’s indirect impact on firm performance, Inf. Technol.  Management 5 2004, 9–22.
[7] Y. Chen, W.D. Cook, N. Li, and J. Zhu, Additive efficiency decomposition in two-stage DEA, Eur. J. Oper. Res. 196 (2009), no. 3, 1170–1176.
[8] M.J. Farrell, The Measurement of Productive Efficiency, J. Royal Statist. Soc. Ser. A 120 (1957), no. 3, 253–290.
[9] Z. Haibo, Y. Yi, C. Yao and Z. Joe, Data envelopment analysis application in sustainability: The origins, development and future directions, Eur. J. Oper. Res. 264 (2018), no. 1, 1–16.
[10] I.C. Henriques, V. Amorim Sobreiro, H. Kimur, and E. Barberio Mariano, Efficiency in the Brazilian banking system using data envelopment analysis, Future Bus. J. 4 (2018), no. 2, 157–178.
[11] L.-F. Hsieh and L.-H. Lin, A performance evaluation model for international tourist hotels in Taiwan-An application of the relational network DEA, Int. J. Hospital. Manag. 29 (2010), no. 1, 14–24.
[12] D. Kai, A.C. Worthington, and V. Zelenyuk, Data envelopment analysis, truncated regression and double-bootstrap for panel data with application to Chinese banking, Eur. J. Oper. Res. 265 (2018), no. 2, 748–764.
[13] Ch. Kao, Efficiency decomposition in network data envelopment analysis: A relational model, Eur. J. Oper. Res. 192 (2009), no. 3, 949–962.
[14] Ch. Kao, Network data envelopment analysis: A review, Eur. J. Oper. Res. 239 (2014), no. 1, 1–16.
[15] Ch. Kao, Some properties of Pareto efficiency under the framework of data envelopment analysis, Int. J. Syst. Sci. 26 (2007), no. 9, 1549–1558.
[16] Ch. Kao and Sh.-N. Hwang, Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan, Eur. J. Oper. Res. 185 (2008), no. 1, 418–429.
[17] Ch. Kao and Sh.-N. Hwang, Efficiency measurement for network systems: IT impact on firm performance, Decis. Support Syst. 48 (2010), no. 3, 437–446.
[18] H.F. Lewis and Th.R. Sexton, Network DEA: efficiency analysis of organizations with complex internal structure, Comput. Oper. Res. 31 (2004), no. 9, 1365–1410.
[19] S. Lim and J. Zhu, Integrated data envelopment analysis: Global vs. local optimum, Eur. J. Oper. Res. 229 (2013), no. 1, 276–278.
[20] H. Omrani, Kh. Shafaat, and A. Emrouznejad, An integrated fuzzy clustering cooperative game data envelopment analysis model with application in hospital efficiency, Expert Syst. Appl. 114 (2018), 615–628.
[21] A.M. Prieto and J.L. Zofio, Network DEA efficiency in input-output models: With an application to OECD countries, Eur. J. Oper. Res. 178 (2007), no. 1, 292–304.
[22] Sangkyu Rho, Jungnam An, Evaluating the efficiency of a two-stage production process using data envelopment analysis, Int. Trans. Oper. Rres. 14 (2007), no. 5, 395–410.
[23] L. Shao, X. Yu, and Ch. Feng, Evaluating the eco-efficiency of China’s industrial sectors: A two-stage network data envelopment analysis, J. Eenvir. Manag. 6247 (2019), 551–560.
[24] S. Soheilirad, K. Govindan, A. Mardani, E. Kazimieras Zavadskas, M. Nilashi, and N. Zakuan, Application of data envelopment analysis models in supply chain management: A systematic review and meta-analysis, Ann. Oper. Res. 271 (2017), 915–969.
[25] K. Tone, M. Toloo, and M. Izadikhah, A modified slacks-based measure of efficiency in data envelopment analysis, Eur. J. Oper. Res. 287 (2020), no. 2, 560–571.
[26] K. Tone and M. Tsutsui, Network DEA: A slacks-based measure approach, Eur. J. Oper. Res. 197 (2009), no. 1, 243–252.
[27] M. Toloo, A. Emrouznejad, and P. Moreno, A linear relational DEA model to evaluate two-stage processes with shared inputs, Comput. Appl. Math. 36 (2017), 45–61.
[28] H. Zhao, S. Guo, and H. Zhao, Provincial energy efficiency of China quantified by three-stage data envelopment analysis, Energy, 166 (2019), 96–107.
[29] J. Zhu, DEA under big data: Data enabled analytics and network data envelopment analysis, Ann. Oper. Res. 309 (2022), no. 2, 761–783.
[30] M.-M. Yu and E.T.J. Lin, Efficiency and effectiveness in railway performance using a multi-activity network DEA model, Omega 36 (2008), no. 6, 1005–1017.

Articles in Press, Corrected Proof
Available Online from 21 March 2025
  • Receive Date: 11 May 2024
  • Accept Date: 17 July 2024