Estimating multi-period global cost efficiency and productivity change of systems with network structures

Subject Areas : Mathematical Optimization

S. Tohidnia ¹ ( Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran )
G. Tohidi ² ( Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran )

Received: 2020-10-08 Accepted : 2020-10-08 Published : 2020-03-01

Keywords:

References:

Caves DW, Christensen LR, Diewert WE (1982) The economic theory of index numbers and the measurement of input, output and productivity. Econometrica 50:1393–1414
Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2:429–444
Chen Y, Cook WD, Li N, Zhu J (2009) Additive efficiency decomposition in two-stage DEA. Eur J Oper Res 196:1170–1176
Cooper WW, Seiford LM, Tone K (2006) Introduction to data envelopment analysis and its uses. Springer, New York
Esmaeilzadeh A, Hadi-Vencheh A (2013) A super-efficiency model for measuring aggregative efficiency of multi-period production systems. Measurement 46:3988–3993
Fare R, Grosskopf S (2000) Network DEA. Socio Econ Plan Sci 34:35–49
Fare R, Grosskopf S, Lindgren B, Roos P (1989) Productivity developments in Swedish hospitals: a Malmquist output index
approach. Discussion Paper No. 89-3. Southern Illinois University, Illinois
Fare R, Grosskopf S, Whittaker G (2007) Network DEA. In: Zhu J, Cook WW (eds) Modelling data irregularities and structural complexities. Data envelopment analysis. Springer, New York, pp 209–240
Fukuyama H, Matousek R (2011) Efficiency of Turkish banking: twostage network system. Variable returns to scale model. J Int Financ Mark Inst Money 21:75–91
Kao C (2009a) Efficiency measurement for parallel production systems. Eur J Oper Res 196:1107–1112
Kao C (2009b) Efficiency decomposition in network data envelopment analysis: a relational model. Eur J Oper Res 192:949–962
Kao C, Hwang SN (2010) Efficiency measurement for network systems: IT impact on firm performance. Decis Support Syst
48(3):437–446
Kao C, Hwang SN (2014) Multi-period efficiency and Malmquist productivity index in two-stage production systems. Eur J Oper Res 232:512–521
Kao C, Liu ST (2013) Multi-period efficiency measurement in data envelopment analysis: the case of Taiwanese commercial banks. Omega 47:90–98
Khalili-Damghani K, Hosseinzadeh Lotfi F (2012) Performance measurement of police traffic centres using fuzzy DEA-based Malmquist productivity index. Int J Multicriteria Decis Mak 2(1):94–110
Khalili-Damghani K, Taghavi-Fard M, Abtahi AR (2012) A fuzzy two-stage DEA approach for performance measurement: real case of agility performance in dairy supply chains. Int J Appl Decis Sci 5(4):293–317
Li Y, Chen Y, Liang L, Xie J (2012) DEA models for extended twostage network structures. Omega 40:611–618
Liang L, Cook WD, Zhu J (2008) DEA models for two-stage processes: game approach and efficiency decomposition. Nav
Res Logist 55:643–653
Lin YH, Fu TT, Chen CL, Juo JC (2017) Non-radial cost Luenberger productivity indicator. Eur J Oper Res 256:629–639
Lozano S (2011) Scale and cost efficiency analysis of networks of processes. Expert Syst Appl 38:6612–6661
Lozano S, Gutie´rrez E, Moreno P (2013) Network DEA approach to airports performance assessment considering undesirable outputs. Appl Math Model 37:1665–1676
Maniadakis N, Thanassoulis E (2004) A cost Malmquist productivity index. Eur J Oper Res 154:396–409
Pastor JT, Lovell CAK (2005) A global Malmquist productivity index. Econ Lett 88:266–271
Shafiee M, Hosseinzadeh Lotfi F, Saleh H, Ghaderi M (2016) A mixed integer bi-level DEA model for bank branch performance evaluation by Stackelberg approach. J Ind Eng Int 12:81–91
Shokrollahpour E, Hosseinzadeh Lotfi F, Zandieh M (2016) An integrated data envelopment analysis–artificial neural network approach for benchmarking of bank branches. J Ind Eng Int 12:137–143
Tohidi G, Khodadadi M (2013) Allocation models for DMUs with negative data. J Ind Eng Int 9(1):1–6
Tohidi G, Razavyan S (2010) Non-discretionary imprecise data in efficiency measurement. J Ind Eng Int 7(12):45–51
Tohidi G, Razavyan S (2013) A circular global profit Malmquist productivity index in data envelopment analysis. Appl Math
Model 37:216–227 
Tohidi G, Razavyan S, Tohidnia S (2008) A profit Malmquist productivity index. J Ind Eng Int 6(20):23–30
Tohidi G, Razavyan S, Tohidnia S (2012) A global cost Malmquist productivity index using data envelopment analysis. J Oper Res Soc 63:72–78
Tone K (2002) A strange case of the cost and allocative efficiency in DEA. J Oper Res Soc 53:1225–1231
Yu MM (2010) Assessment of airport performance using the SBMNDEA model. Omega 38:440–452
Yu Y, Qinfen S (2014) Two-stage DEA model with additional input in the second stage and part of intermediate products as final output. Expert Syst Appl 41:6570–6574
Zhu J (2011) Airlines performance via two-stage network DEA approach. J Cent Cathedra 4(2):260–269