A vehicle routing problem with two types of ships in container terminals

Document Type : Article

Authors

Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

Abstract

The Vehicle Routing Problem (VRP) is one of well-established and important topic in supply chain and logistic networks. The location-routing decision-making has a significant role to optimize the traveling cost per distance, total traveling time and the number of vehicles in the supply chain networks. One of recent advances in these systems refers to container terminals in the global trade centers. The new contributions of this model are to consider the routes of two types of ships (Tramp and Liner) with different properties and the time windows in order to minimize costs. The proposed is solved by an exact method (B&B) as well as because of inherent complexity of problem proposed in the real-world cases, the Genetic (GA) algorithm has been used to find an optimal/global solution in a reasonable time. Finally, an in-depth analysis and discussion is provided to conclude the main findings and practical implications of the results.

Keywords


References:
1. Dantzig, G.B. and Ramser, J.H. The truck dispatching problem", Management Science, 6(1), pp. 80{91 (1959).
2. Clarke, G. and Wright, J.W. Scheduling of vehicles from a central depot to a number of delivery points", Operations Research, 12(4), pp. 568{581 (1964).
3. Toth, P. and Vigo, D., Eds., The Vehicle Routing Problem, Society for Industrial and Applied Mathematics, (2001).
4. Nasiri, M.M., Rahbari, A., Werner, F., and Karimi, R. Incorporating supplier selection and order allocation into the vehicle routing and multi-cross-dock schedulM. Safaeian et al./Scientia Iranica, Transactions E: Industrial Engineering 29 (2022) 447{460 457 ing problem", International Journal of Production Research, 56(19), pp. 6527{6552 (2018).
5. Fathollahi-Fard, A.M., Govindan, K., Hajiaghaei- Keshteli, M., and Ahmadi, A. A green home health care supply chain: New modi ed simulated annealing algorithms", Journal of Cleaner Production, 240, 118200 (2019).
6. Coelho, V.N., Grasas, A., Ramalhinho, H., Coelho, I.M., Souza, M.J.F., and Cruz, R.C. An ILS-based algorithm to solve a large-scale real heterogeneous eet VRP with multi-trips and docking constraints", European Journal of Operational Research, 250(2), pp. 367{376 (2016).
7. Perera, L.P. and Soares, C.G. Weather routing and safe ship handling in the future of shipping", Ocean Engineering, 130, pp. 684{695 (2017).
8. Li, F., Golden, B., and Wasil, E. The open vehicle routing problem: Algorithms, large-scale test problems, and computational results", Computers & Operations Research, 34(10), pp. 2918{2930 (2010).
9. Daganzo, C.F. The crane scheduling problem", Transportation Research Part B: Methodological, 23(3), pp. 159{175 (1989).
10. 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).
11. 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).
12. Legato, P., Trun o, R., and Meisel, F. Modeling
and solving rich quay crane scheduling problems",
Computers & Operations Research, 39(9), pp. 2063{
2078 (2012).
13. Chen, J.H., Lee, D.H., and Goh, M. An e ective
mathematical formulation for the unidirectional
cluster-based quay crane scheduling problem", European
Journal of Operational Research, 232(1), pp.
198{208 (2014).
14. 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).
15. Al-Dhaheri, N. and Diabat, A. The quay crane
scheduling problem", Journal of Manufacturing Systems,
36, pp. 87{94 (2015).
16. 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).
17. 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).
18. 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).
19. 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).
20. 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).
21. Liang, C., Fan, L., Xu, D., Ding, Y., and Gen,
M. Research on coupling scheduling of quay crane
dispatch and con guration in the container terminal",
Computers & Industrial Engineering, 125, pp. 649{657
(2018).
22. Safaeian, M., Etebari, F., and Vahdani, B. An
integrated quay crane assignment and scheduling problem
with several contractors in container terminals",
Scientia Iranica, 28(2), pp. 1030{1048 (2021).
23. Fathollahi-Fard, A.M., Ranjbar-Bourani, M.,
Cheikhrouhou, N., and Hajiaghaei-Keshteli, M.
Novel modi cations of social engineering optimizer
to solve a truck scheduling problem in a cross-docking
system", Computers & Industrial Engineering, 137,
106103 (2019).
24. Fatehi-Kivi, A., Mehdizadeh, E., and Tavakkoli-
Moghaddam, R. A new mathematical model for a
multi-product supply chain network with a preventive
maintenance policy", International Journal of Engineering,
32(10), pp. 1446{1453 (2019).
25. 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).
26. 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).
27. Liu, X., Tian, G., Fathollahi-Fard, A.M., and Mojtahedi,
M. Evaluation of ship's green degree using a
novel hybrid approach combining group fuzzy entropy
and cloud technique for the order of preference by similarity
to the ideal solution theory", Clean Technologies
and Environmental Policy, 22(2), pp. 493{512 (2020).