Investigating the Sustainability of Return to Scale Classification in a Two-Stage Network Based on DEA Models

Table 1

Comparative table of studies related to sensitivity analysis, returns to scale, and network.

Authors	Object	Network DEA	RTS	Sensitivityanalysis
Chen [16]	A network-DEA model with new efficiency measures to incorporate the dynamic effect in production networks	✓
Kao [19]	A new methodology for evaluating sustainable product design performance with two-stage network data envelopment analysis	✓
Chen et al. [24]	A new methodology for evaluating sustainable product design performance with two-stage network data envelopment analysis	✓
Chen [16]	A network-DEA model with new efficiency measures to incorporate the dynamic effect in production networks			✓
Jahanshahloo et al. [40]	Sensitivity and stability analysis in DEA	✓
Lewis and Sexton [13]	Two-stage DEA: An application to major league baseball	✓
Lewis and Sexton [14]	Network DEA: Efficiency analysis of organizations with complex internal structure	✓		✓
Rostamy-Malkhalifeh et al. [20]	A new non-radial network DEA model for evaluating performance supply chain”	✓
Allahyar and Rostamy-Malkhalifeh [36]	An improved approach for estimating returns to scale in DEA		✓
Khaleghi et al. [33]	Returns to scale and scale elasticity in two-stage DEA		✓	✓
Khodabakhshi et al. [41]	An additive model approach for estimating returns to scale in imprecise data envelopment analysis		✓
Khodakarami et al. [37]	Concurrent estimation of efficiency, effectiveness and returns to scale		✓	✓
Zarepisheh and Soleimani-damaneh [42]	A dual simplex-based method for determination of the right and left returns to scale in DEA		✓	✓
Nasution et al. [43]	Sensitivity analysis in data envelopment analysis for interval data			✓
Hibiki and Sueyoshi [44]	DEA sensitivity analysis by changing a reference set: regional contribution to Japanese industrial development”			✓
Banker and Thrall [45]	Estimation of returns to scale using data envelopment analysis			✓
Avkiran and McCrystal [46]	Sensitivity analysis of network DEA: NSBM versus NRAM	✓		✓
Despotis et al. [25]	Composition versus decomposition in two-stage network DEA: a Reverse approach, journal of productivity analysis	✓
Forghani and Najafi [35]	Sensitivity analysis in two-stage DEA	✓		✓
Despotis et al. [25]	The “weak-link” approach to network DEA for two-stage processes
Nasution et al. [47]	Polak-ribiere updates analysis with binary and linear function in determining coffee exports in Indonesia			✓
Peykani and Mohammadi [28]	Interval network data envelopment analysis model for classification of investment companies in the presence of uncertain data	✓
Tavassoli et al. [48]	Assessing sustainability of suppliers: A novel stochastic-fuzzy DEA model			✓
Peykani and Mohammadi [30]	Window network data envelopment analysis: An application to investment companies”	✓
Peykani et al. [31]	An adjustable fuzzy chance-constrained network DEA approach with application to ranking investment firms	✓
This paper	Alternative method of sensitivity analysis of returns to scale in two-stage network: based on DEA models	✓	✓	✓