Developing an Efficiency Based Target Setting Model for K-Stage Serial tructures

Document Type : Research Paper


1 Department of Management, Rasht Branch, Islamic Azad University, Rasht, Iran.

2 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

3 Department of Management, Rasht Branch, Islamic Azad University, Rasht, Iran


DEA as an effective approach to evaluate the relative efficiency of DMUs, recently applied in many production and operation systems. This paper proposed a new k-stage DEA based MOLP model for target setting in the serial network structures, considering undesirable outputs. Since the proposed model takes the size of DMUs into account, the new idea ensures the possibility of the results. The results showed the applicability of the proposed plan.


[1] A. Amirteimoori, S. Kordrostami, Allocating fixed costs and target setting: A DEAbased approach, Applied Mathematics and Computation 171 (2005) 136-151.
[2] A. Amirteimoori, S. Kordrostami, Production planning: a DEA-based approach, International Journal of Advanced Manufacturing Technology 56 (2011) 376-396.
[3] A. Amirteimoori, M. Mohaghegh Tabar, Resource allocation and target setting in data envelopment analysis, Expert Systems with Applications 37 (2010) 3036-3039.
[4] A. Amirteimoori, A. Toloie-Eshlaghi, M. Homayoonfar, Efficiency measurement in Two-Stage network structures considering undesirable outputs, International Journal of Industrial Mathematics 6 (2014) 65-71.
[5] M. Asmild, J.C. Paradi, J.T. Pastor, Centralized resource allocation BCC models, Omega 37 (2009) 40-49.
[6] J. E. Beasley, Allocating fixed costs and resources via data envelopment analysis, European Journal of Operational Research 147 (2003) 198-216.
[7] A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units, European Journal of Operational Research 2 (1978) 429-444.
[8] W. D. Cook, M. Kress, Characterizing an equitable allocation of shared costs: A DEA approach, European Journal of Operational Research 119 (1999) 652-661.
[9] W. D. Cook, J. Zhu, Allocation of shared costs among decision making units: a DEA approach, Computers and Operations Research 32 (2005) 2171-2178.
[10] J. Du, L. Liang, Y. Chen, G.B. Bi, DEAbased production planning, Omega 38 (2010) 105-112.
[11] A. Emrouznejad, B.R. Parker, G. Tavares, Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA, Journal of Socio-Economic Planning Science 42 (2008) 151-157.
[12] R. Fare, R. Grabowski, S. Grosskopf, S. Kraft, Efficiency of a fixed but allocatable input: A non-parametric approach, Economics Letters 56 (1997) 187-193.
[13] B. Golany, E. Tamir, Evaluating efficiencyeffectiveness-equality trade-offs: a data envelopment analysis approach, Management Science 41 (1995) 1172-1184.
[14] A. Hatami-Marbini, M. Tavana, P. J. Agrell, F. Hosseinzadeh Lotfi, Z. Ghelej Beigi, A common-weights DEA model for centralized resource reduction and target setting, Computers and Industrial Engineering 79 (2015) 195-203.
[15] G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, M. Sanei, An alternative approach for equitable allocation of shared costs by using DEA, Applied Mathematics and Computation 153 (2004) 267-274.
[16] P. Korhonen, M. Syrjanen, Resource allocation based on efficiency analysis, Management Science 50 (2004) 1134-1344.
[17] R. Lin, Allocating fixed costs or resources and setting targets via data envelopment analysis, Applied Mathematics and Computation 17 (2011) 6349-6358.
[18] S. Lozano, E. Gutirrez, E.P. Moreno, Network DEA approach to airports performance assessment considering undesirable outputs, Applied Mathematical Modelling 37 (2013) 1665-1676.
[19] S. Lozano, G. Villa, Centralized resource allocation using data envelopment analysis, Journal of Productivity Analysis 22 (2004) 143-161.
[20] S. Lozano, G. Villa, Multi-objective target setting in data envelopment analysis using AHP, Computers and Operations Research 36 (2009) 549-564.
[21] S. Lozano, G. Villa, B. Adenso-Diaz, Centralized target setting for regional recycling operations using DEA, Omega 32 (2004) 101-110.
[22] J. Wu, J. Chu, Q. An, J. Sun, P. Yin, Resource reallocation and target setting for improving environmental performance of DMUs: An application to regional highway transportation systems in China, Transportation Research Part D: Transport and Environment 61 (2018) 204-216.
[23] Y. Zhang, H. Zhang, R. Zhang, Z. Zeng, Z. Wang, DEA-based production planning considering influencing factors, Journal of the Operational Research Society 66 (2015) 1878-1886.