References
1. Hwang, S.N., Chen, C., Chen, Y., Lee, H.S., and Shen,
P.D. Sustainable design performance evaluation with
applications in the automobile industry: Focusing on
ineciency by undesirable factors", Omega, 41(3), pp.
553{558 (2013).
2. Kritikos, M.N. A full ranking methodology in data
envelopment analysis based on a set of dummy decision
making units", Expert Systems with Applications, 77,
pp. 211{225 (2017).
3. Charnes, A., Cooper, W.W., and Rhodes, E. Measuring
the eciency of decision making units", European
Journal of Operational Research, 2(6) pp. 429{444
(1978).
4. Farrell, M.J. The measurement of productive e-
ciency", Journal of the Royal Statistical Society: Series
A (General), 120(3), pp. 253{281 (1957).
5. Banker, R.D., Charnes, A., and Cooper, W.W. Some
models for estimating technical and scale ineciencies
in data envelopment analysis", Management Science,
30(9), pp. 1078{1092 (1984).
6. Lee, T., Zhang, Y., and Jeong, B.H. A multi-period
output DEA model with consistent time lag eects",
Computers & Industrial Engineering, 93, pp. 267{274
(2016).
7. Fare, R., Grosskopf, S., and Pasurka Jr, C.A. Accounting
for air pollution emissions in measures of
state manufacturing productivity growth", Journal of
Regional Science, 41(3), pp. 381{409 (2001).
8. Kou, M., Chen, K.,Wang, S., and Shao, Y. Measuring
eciencies of multi-period and multi-division systems
associated with DEA: An application to OECD countries
national innovation systems", Expert Systems
with Applications, 46, pp. 494{510 (2016).
9. Wanke, P. and Barros, C. Two-stage DEA: An
application to major Brazilian banks", Expert Systems
with Applications, 41(5), pp. 2337{2344 (2014).
10. Liang, L., Cook, W.D., and Zhu, J. DEA models for
two-stage processes: Game approach and eciency decomposition",
Naval Research Logistics (NRL), 55(7),
pp. 643{653 (2008).
11. Li, Y., Chen, Y., Liang, L., and Xie, J. DEA models
for extended two-stage network structures", Omega,
40(5), pp. 611{618 (2012).
12. An, Q., Yang, M., Chu, J., Wu, J., and Zhu, Q.
Eciency evaluation of an interactive system by
data envelopment analysis approach", Computers &
Industrial Engineering, 103, pp. 17{25 (2017).
13. 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(1), pp.
182{197 (2016).
14. Zhou, X., Luo, R., Tu, Y., Lev, B., and Pedrycz, W.
Data envelopment analysis for bi-level systems with
multiple followers", Omega, 77, pp. 180{188 (2018).
15. Du, J., Zhu, J., Cook, W.D., and Huo, J. DEA models
for parallel systems: Game-theoretic approaches",
Asia-Pacic Journal of Operational Research, 32(2),
1550008 (2015).
16. Fard, A.M.F. and Hajaghaei-Keshteli, M. A tri-level
location-allocation model for forward/reverse supply
chain", Applied Soft Computing, 62, pp. 328{346
(2018).
17. Fard, A.M.F. and Hajiaghaei-Keshteli, M. A biobjective
partial interdiction problem considering different
defensive systems with capacity expansion of
facilities under imminent attacks", Applied Soft Computing,
68, pp. 343{359 (2018).
18. Fathollahi-Fard, A.M., Hajiaghaei-Keshteli, M., and
Mirjalili, S. Hybrid optimizers to solve a tri-level
programming model for a tire closed-loop supply chain
network design problem", Applied Soft Computing, 70,
pp. 701{722 (2018).
19. Fathollahi-Fard, A.M., Hajiaghaei-Keshteli, M., and
Tavakkoli-Moghaddam, R. A bi-objective green home
health care routing problem", Journal of Cleaner
Production, 200, pp. 423{443 (2018).
20. Hajiaghaei-Keshteli, M. and Fathollahi-Fard, A.M. A
set of ecient heuristics and metaheuristics to solve
a two-stage stochastic bi-level decision-making model
for the distribution network problem", Computers &
Industrial Engineering, 123, pp. 378{395 (2018).
21. Fare, R., Grosskopf, S., Lovell, C.K., and Pasurka,
C. Multilateral productivity comparisons when some
outputs are undesirable: a nonparametric approach",
The Review of Economics and Statistics, 90(98)
(1989).
22. Lu, W.M. and Lo, S.F. A closer look at the economicenvironmental
disparities for regional development in
China", European Journal of Operational Research,
183(2), pp. 882{894 (2007).
23. Wang, K., Yu, S., and Zhang, W. China's regional
energy and environmental eciency: A DEA window
analysis based dynamic evaluation", Mathematical and
Computer Modelling, 58(5{6), pp. 1117{1127 (2013).
24. Wu, J., Lv, L., Sun, J., and Ji, X. A comprehensive
analysis of China's regional energy saving and emission
reduction eciency: from production and treatment
perspectives", Energy Policy, 84, pp. 166{176 (2015).
25. Sengupta, J.K. Dynamic of Data Envelopment Analysis:
Theory of Systems Eciency, Springer Science &
Business Media, Netherlands (1995).
26. Jafarian Moghaddam, A.R. and Ghoseiri, K. Fuzzy
dynamic multi-objective Data Envelopment Analysis
model", Expert Systems with Applications, 38, pp.
850{855 (2011).
514 E. Vaezi et al./Scientia Iranica, Transactions E: Industrial Engineering 28 (2021) 492{515
27. Kawaguchi, H., Tone, K., and Tsutsui, M. Estimation
of the eciency of Japanese hospitals using a dynamic
and network data envelopment analysis model", Health
Care Management Science, 17, pp. 101{112 (2014).
28. Wang, W., Lu, W., and Liu, P. A fuzzy multiobjective
two-stage DEA model for evaluating the
performance of US bank holding companies", Expert
Systems with Applications, 41, pp. 4290{4297 (2014).
29. Azizi, H. and Wang, Y.M. Improved DEA models
for measuring interval eciencies of decision-making
units", Measurement, 46(3), pp. 1325{1332 (2013).
30. Yang, X. and Morita, H. Eciency improvement from
multiple perspectives: An application to Japanese
banking industry", Omega, 41(3), pp. 501{509 (2013).
31. Amirteimoori, A. DEA eciency analysis: Ecient
and anti-ecient frontier", Applied Mathematics and
Computation, 186(1), pp. 10{16 (2007).
32. Jahed, R., Amirteimoori, A., and Azizi, H. Performance
measurement of decision-making units under
uncertainty conditions: An approach based on double
frontier analysis", Measurement, 69, pp. 264{279
(2015).
33. Doyle, J.R., Green, R.H., and Cook, W.D. Upper
and lower bound evaluation of multiattribute objects:
Comparison models using linear programming", Organizational
Behavior and Human Decision Processes,
64(3), pp. 261{273 (1995).
34. Badiezadeh, T., Saen, R.F., and Samavati, T. Assessing
sustainability of supply chains by double frontier
network DEA: A big data approach", Computers &
Operations Research, 98, pp. 284{290 (2018).
35. Azizi, H., Kordrostami, S., and Amirteimoori, A.
Slacks-based measures of eciency in imprecise data
envelopment analysis: An approach based on data envelopment
analysis with double frontiers", Computers
& Industrial Engineering, 79, pp. 42{51 (2015).
36. Wang, Y.M. and Lan, Y.X. Estimating most productive
scale size with double frontiers data envelopment
analysis", Economic Modelling, 33, pp. 182{186
(2013).
37. Ransikarbum, K. and Mason, S.J. Goal programmingbased
post-disaster decision making for integrated relief
distribution and early-stage network restoration",
International Journal of Production Economics, 182,
pp. 324{341 (2016).
38. Roy, S.K. and Maiti, S.K. Stochastic bi level programming
with multi-choice for Stackelberg game via fuzzy
programming", International Journal of Operational
Research, 29(4), pp. 508{530 (2017).
39. Roy, S.K. and Maity, G. Minimizing cost and time
through single objective function in multi-choice interval
valued transportation problem", Journal of Intelligent
& Fuzzy Systems, 32(3), pp. 1697{1709 (2017).
40. Shabanpour, H., Youse, S., and Farzipoor Saen,
R. Future planning for benchmarking and ranking
sustainable suppliers using goal programming and robust
double frontiers DEA", Transportation Research
Part D: Transport and Environment, 50, pp. 129{143
(2017).
41. Dhahri, I. and Chabchoub, H. Nonlinear goal programming
models quantifying the bullwhip eect in
supply chain based on ARIMA parameters", Eur J
Oper Res, 117(3) pp. 1800{1810 (2007).
42. Youse, S., Soltani, R., Saen, R.F., and Pishvaee,
M.S. A robust fuzzy possibilistic programming for a
new network GP-DEA model to evaluate sustainable
supply chains", Journal of Cleaner Production, 166,
pp. 537{549 (2017).
43. Maiti, S.K. and Roy, S.K. Bi-level programming for
Stackelberg game with intuitionistic fuzzy number: A
ranking approach", Journal of the Operations Research
Society of China, 25(3), pp. 1{19 (2019).
44. Maiti, S.K. and Roy, S.K. Multi-choice stochastic bilevel
programming problem in cooperative nature via
fuzzy programming approach", Journal of Industrial
Engineering International, 12(3), pp. 287{298 (2016).
45. Chen, L.H., Ko, W.C., and Yeh, F.T. Approach based
on fuzzy goal programing and quality function deployment
for new product planning", European Journal of
Operational Research, 259(2), pp. 654{663 (2017).
46. Trivedi, A. and Singh, A. A hybrid multi-objective decision
model for emergency shelter location-relocation
projects using fuzzy analytic hierarchy process and
goal programming approach", International Journal of
Project Management, 35(5), pp. 827{840 (2017).
47. He, Y., Gao, S., Liao, N., and Liu, H. A nonlinear
goal-programming-based DE and ANN approach to
grade optimization in iron mining", Neural Computing
and Applications, 27(7), pp. 2065{2081 (2016).
48. Roy, S.K., Maity, G., and Weber, G.W. Multiobjective
two-stage grey transportation problem using
utility function with goals", Central European Journal
of Operations Research, 25(2), pp. 417{439 (2017).
49. Roy, S.K., Maity, G., Weber, G.W., and Gok, S.Z.A.
Conic scalarization approach to solve multi-choice
multi-objective transportation problem with interval
goal", Annals of Operations Research, 253(1), pp. 599{
620 (2017).
50. Jolai, F., Yazdian, S.A., Shahanaghi, K., and Khojasteh,
M.A. Integrating fuzzy TOPSIS and multiperiod
goal programming for purchasing multiple products
from multiple suppliers", Journal of Purchasing
and Supply Management, 17(1), pp. 42{53 (2011).
51. Wang, Y.M., Greatbanks, R., and Yang, J.B. Interval
eciency assessment using data envelopment analysis",
Fuzzy Sets and Systems, 153(3), pp. 347{370
(2005).
52. Wang, Y.M. and Chin, K.S. A new approach for
the selection of advanced manufacturing technologies:
DEA with double frontiers", International Journal of
Production Research, 47(23), pp. 6663{6679 (2009).
53. Kao, C. and Hwang, S.N. Eciency decomposition in
two-stage data envelopment analysis: An application
E. Vaezi et al./Scientia Iranica, Transactions E: Industrial Engineering 28 (2021) 492{515 515
to non-life insurance companies in Taiwan", European
Journal of Operational Research, 185(1), pp. 418{429
(2008).
54. Fu, Y., Tian, G., Fathollahi-Fard, A.M., Ahmadi, A.,
and Zhang, C. Stochastic multi-objective modelling
and optimization of an energy-conscious distributed
permutation
ow shop scheduling problem with the
total tardiness constraint", Journal of Cleaner Production,
226, pp. 515{525 (2019).
55. Fathollahi-Fard, A.M., Hajiaghaei-Keshteli, M., and
Mirjalili, S. A set of ecient heuristics for a home
healthcare problem", Neural Computing and Applications,
32(10), pp. 6185{6205 (2020).