References
1. Frojan, P., Correcher, J.F., Alvarez-Valdes, R.,
Koulouris, G., and Tamarit, J.M., The continuous
Berth allocation problem in a container terminal with
multiple quays", Expert Systems with Applications,
42(21), pp. 7356{7366 (2015).
2. Al-Dhaheri, N. and Diabat, A. The quay crane
scheduling problem", Journal of Manufacturing Systems,
36, pp. 87{94 (2015).
3. Diabat, A. and Theodorou, E. An integrated quay
crane assignment and scheduling problem", Computers
& Industrial Engineering, 73, pp. 115{123 (2014).
4. Fathollahi-Fard, A.M., Hajiaghaei-Keshteli, M., and
Mirjalili, S. Multi-objective stochastic closed-loop
supply chain network design with social considerations",
Applied Soft Computing, 71, pp. 505{525
(2018b).
5. Fathollahi-Fard, A.M. and Hajiaghaei-Keshteli, M.
Integrated capacitated transportation and production
scheduling problem in a fuzzy environment", International
Journal of Industrial Engineering & Production
Research, 29(2), pp. 197{211 (2018).
6. 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).
7. Daganzo, C.F. The crane scheduling problem",
Transportation Research Part B: Methodological,
23(3), pp. 159{175 (1989).
8. Kim, K.H. and Park, Y.M. A crane scheduling
method for port container terminals", European Journal
of Operational Research, 156(3), pp. 752{768
(2004).
9. Imai, A., Chen, H.C., Nishimura, E., and Papadimitriou,
S. The simultaneous berth and quay crane
allocation problem", Transportation Research Part E:
Logistics and Transportation Review, 44(5), pp. 900{
920 (2008).
10. Goodchild, A.V. and Daganzo, C.F. Crane double
cycling in container ports: Planning methods and
evaluation", Transportation Research Part B: Methodological,
41(8), pp. 875{891 (2007).
11. Zhang, H. and Kim, K.H. Maximizing the number of
dual-cycle operations of quay cranes in container terminals",
Computers & Industrial Engineering, 56(3),
pp. 979{992 (2009).
12. Tavakkoli-Moghaddam, R., Makui, A., Salahi, S.,
Bazzazi, M., and Taheri, F. An ecient algorithm for
solving a new mathematical model for a quay crane
scheduling problem in container ports", Computers &
Industrial Engineering, 56(1), pp. 241{248 (2009).
13. Bierwirth, C. and Meisel, F. A survey of berth allocation
and quay crane scheduling problems in container
terminals", European Journal of Operational Research,
202(3), pp. 615{627 (2010).
14. Zhihong, J.I.N., and Na, L.I. Optimization of quay
crane dynamic scheduling based on berth schedules
in container terminal", Journal of Transportation Systems
Engineering and Information Technology, 11(3),
pp. 58{64 (2011).
M. Safaeian et al./Scientia Iranica, Transactions E: Industrial Engineering 28 (2021) 1030{1048 1047
15. Chen, J.H., Lee, D.H., and Cao, J.X. Heuristics for
quay crane scheduling at indented berth", Transportation
Research Part E: Logistics and Transportation
Review, 47(6), pp. 1005{1020 (2011).
16. Legato, P., Truno, R., and Meisel, F. Modeling
and solving rich quay crane scheduling problems",
Computers & Operations Research, 39(9), pp. 2063{
2078 (2012).
17. Al-Dhaheri, N., Jebali, A., and Diabat, A. The
quay crane scheduling problem with nonzero crane
repositioning time and vessel stability constraints",
Computers & Industrial Engineering, 94, pp. 230{244
(2016).
18. Liu, C., Zheng, L., and Zhang, C. Behavior
perception-based disruption models for berth allocation
and quay crane assignment problems", Computers
& Industrial Engineering, 97, pp. 258{275 (2016).
19. Wu, L. and Ma, W. Quay crane scheduling with draft
and trim constraints", Transportation Research Part
E: Logistics and Transportation Review, 97, pp. 38{68
(2017).
20. Agra, A. and Oliveira, M. MIP approaches for the
integrated berth allocation and quay crane assignment
and scheduling problem", European Journal of Operational
Research, 264(1), pp. 138{148 (2018).
21. Azevedo, A.T., de Salles Neto, L.L., Chaves, A.A., and
Moretti, A.C. Solving the 3D stowage planning problem
integrated with the quay crane scheduling problem
by representation by rules and genetic algorithm",
Applied Soft Computing, 65, pp. 495{516 (2018).
22. Liang, C., Fan, L., Xu, D., Ding, Y., and Gen,
M. Research on coupling scheduling of quay crane
dispatch and conguration in the container terminal",
Computers & Industrial Engineering, 125, pp. 649{657
(2018).
23. Zhang, A., Zhang, W., Chen, Y., Chen, G., and
Chen, X. Approximate the scheduling of quay cranes
with non-crossing constraints", European Journal of
Operational Research, 258(3), pp. 820{828 (2017).
24. Kaveshgar, N., Huynh, N., and Rahimian, S.K. An
ecient genetic algorithm for solving the quay crane
scheduling problem", Expert Systems with Applications,
39(18), pp. 13108{13117 (2012).
25. Chen, J.H. and Bierlaire, M. The study of the unidirectional
quay crane scheduling problem: complexity
and risk-aversion", European Journal of Operational
Research, 260(2), pp. 613{624 (2017).
26. Lee, D.H., Wang, H.Q., and Miao, L. Quay crane
scheduling with non-interference constraints in port
container terminals", Transportation Research Part E:
Logistics and Transportation Review, 44(1), pp. 124{
135 (2008).
27. Fard, A.M.F. and Hajiaghaei-Keshteli, M. Red Deer
Algorithm (RDA); a new optimization algorithm inspired
by Red Deers' mating", In International Conference
on Industrial Engineering, IEEE, 12, pp. 331{
342 (2016).
28. Bhattacharjee, K., Bhattacharya, A., and Dey, S.H.N.
Teaching-learning-based optimization for dierent
economic dispatch problems", Scientia Iranica, Transaction
D, Computer Science & Engineering, Electrical,
21(3), p. 870 (2014).
29. 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 (2018a).
30. Rao, R.V., Savsani, V.J., and Vakharia, D.P.
Teaching-learning-based optimization: A novel
method for constrained mechanical design optimization
problems", Computer-Aided Design, 43(3), pp.
303{315 (2011).
31. 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).
32. Asim, M., Zubair Khan, M., Alam Khan, L., and
Umer, M. An integrated approach of quality for polymer
composite manufacturing validated and optimized
through Taguchi method", Scientia Iranica, 24(4), pp.
1985{1995 (2017).
33. Jamshidi, R., Ghomi, S.F., and Karimi, B. Multiobjective
green supply chain optimization with a new
hybrid memetic algorithm using the Taguchi method",
Scientia Iranica, 19(6), pp. 1876{1886 (2012).
34. Fathollahi-Fard, A.M., Hajiaghaei-Keshteli, M., and
Tavakkoli-Moghaddam, R. A Lagrangian relaxationbased
algorithm to solve a home health care routing
problem", International Journal of Engineering,
31(10), pp. 1734{1740 (2018).
35. 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 (2018c).
36. Mohammadzadeh, H., Sahebjamnia, N., Fathollahi-
Fard, A.M., and Hahiaghaei-Keshteli, M. New approaches
in metaheuristics to solve the truck scheduling
problem in a cross-docking center", International
Journal of Engineering-Transactions B: Applications,
31(8), pp. 1258{1266 (2018).
37. Fathollahi-Fard, A.M. A set of ecient heuristics for
a home healthcare problem", Neural Computing and
Applications, 32(10), pp. 6185{6205 (2020).
38. Imai, A., Yamakawa, Y., and Huang, K. The strategic
berth template problem", Transportation Research
Part E: Logistics and Transportation Review, 72, pp.
77{100 (2014).
1048 M. Safaeian et al./Scientia Iranica, Transactions E: Industrial Engineering 28 (2021) 1030{1048
39. Safaeian, M., Fathollahi-Fard, A.M., Tian, G., Li,
Z., and Ke, H. A multi-objective supplier selection
and order allocation through incremental discount in
a fuzzy environment", Journal of Intelligent & Fuzzy
Systems, 37(1), pp. 1435{1455 (2019).