A new interval-valued fuzzy optimization model for truck scheduling in a multi-door cross-docking system by considering transshipment and flexible dock doors extra cost

[1] M. H. Alavidoost, H. Babazadeh, S. T. Sayyari, An interactive fuzzy programming approach for bi-objective straight
and U-shaped assembly line balancing problem, Applied Soft Computing, 40 (2016), 221-235.

[2] G. Alpan, A. L. Ladier, R. Larbi, B. Penz, Heuristic solutions for transshipment problems in a multiple door cross
docking warehouse, Computers and Industrial Engineering, 61(2) (2011), 402-408.

[3] J. J. Bartholdi, K. R. Gue, The best shape for a crossdock, Transportation Science, 38(2) (2004), 235-244.

[4] A. Bellanger, S. Hana , C. Wil, Three-stage hybrid- owshop model for cross-docking, Computers and Operations
Research, 40(4) (2013), 1109-1121.

[5] L. Berghman, C. Briand, R. Leus, P. Lopez, The truck scheduling problem at crossdocking terminals - exclusive
versus mixed mode, In Proceedings of 4th International Conference on Operations Research and Enterprise Systems
(ICORES), 2015.

[6] P. Bodnar, R. de Koster, K. Azadeh, Scheduling trucks in a cross-dock with mixed service mode dock doors, Transportation Science, 51(1) (2017), 112-131.

[7] N. Boysen, M. Fliedner, Cross dock scheduling: Classi cation, literature review and research agenda, Omega, 38(6)
(2010), 413-422.

[8] N. Boysen, M. Fliedner, A. Scholl, Scheduling inbound and outbound trucks at cross docking terminals, OR Spectrum,
32(1) (2010), 135-161.

[9] F. Chen, C. Y. Lee, Minimizing the makespan in a two-machine cross-docking  ow shop problem, European Journal
of Operational Research, 193(1) (2009), 59-72.

[10] F. Chen, K. Song, Minimizing makespan in two-stage hybrid cross docking scheduling problem, Computers and
Operations Research, 36(6) (2009), 2066-2073.

[11] C. Cornelis, G. Deschrijver, E. E. Kerre, Advances and challenges in interval-valued fuzzy logic, Fuzzy Sets and
Systems, 157(5) (2006), 622-627.

[12] G. Correa Issi, R. Linfati, J. W. Escobar, Mathematical optimization model for truck scheduling in a distribution
center with a mixed service-mode dock area, Journal of Advanced Transportation, (2020), 1-13.

[13] F. Dalouchei, S. M. Mousavi, J. Antucheviciene, A. Minaei, A bi-objective model for scheduling construction projects
using critical chain method and interval-valued fuzzy sets, Buildings, 12(7) (2022), 904.

[14] G. Ertek, Managing supply chains on the Silk Road: Strategy, performance, and risk, CRC Press, 2012.

[15] F. Essghaier, H. Allaoui, G. Goncalves, Truck to door assignment in a shared cross-dock under uncertainty, Expert
Systems with Applications, (2021), 114889.

[16] S. Gelareh, F. Glover, O. Guemri, S. Hana , P. Nduwayo, R. Todosijevic, A comparative study of formulations for
a cross-dock door assignment problem, Omega, 91 (2020), 102015.

[17] M. B. Gorza lczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets
and Systems, 21(1) (1987), 1-17.

[18] M. Guignard, P. M. Hahn, A. A. Pessoa, D. C. da Silva, Algorithms for the cross-dock door assignment problem,
In Proceedings of the Fourth International Workshop on Model-Based Metaheuristics, (2012), 145-162.

[19] M. H. Haghighi, S. M. Mousavi, A mathematical model and two fuzzy approaches based on credibility and expected
interval for project cost-quality-risk trade-o  problem in time-constrained conditions, Algorithms, 15 (2022), 226.

[20] M. Jimenez, M. Arenas, A. Bilbao, M. V. Rodr, Linear programming with fuzzy parameters: An interactive method
resolution, European Journal of Operational Research, 177(3) (2007), 1599-609.

[21] D. Konur, M. M. Golias, Analysis of di erent approaches to cross-dock truck scheduling with truck arrival time
uncertainty, Computers and Industrial Engineering, 65(4) (2013), 663-672.

[22] Y. J. Lai, C. L. Hwang, Fuzzy mathematical programming: Methods and applications, Springer-Verlag, 1992.

[23] Y. J. Lai, C. L. Hwang, Possibilistic linear programming for managing interest rate risk, Fuzzy Sets and Systems,
54(2) (1993), 135-146.

[24] Y. J. Lai, T. Y. Liu, C. L. Hwang, Topsis for MODM, European Journal of Operational Research, 76(3) (1994),
486-500.

[25] X. Q. Li, B. Zhang, H. Li, Computing ecient solutions to fuzzy multiple objective linear programming problems,
Fuzzy Sets and Systems, 157(10) (2006), 1328-1332.

[26] T. W. Liao, P. J. Egbelu, P. C. Chang, Two hybrid di erential evolution algorithms for optimal inbound and
outbound truck sequencing in cross docking operations, Applied Soft Computing, 12(11) (2012), 3683-3697.

[27] M. Y. Maknoon, P. Baptiste, Moving freight inside cross docking terminals, In 2010 8th International Conference
on Supply Chain Management and Information, (2010), 1-6.

[28] V. Mohagheghi, S. M. Mousavi, B. Vahdani, An assessment method for project cash  ow under interval-valued
fuzzy environment, Journal of Optimization in Industrial Engineering, 10(22) (2017), 73-80.

[29] S. M. Mousavi, A new interval-valued hesitant fuzzy pairwise comparison-compromise solution methodology: An
application to cross-docking location planning, Neural Computing and Applications, 31(9) (2019), 5159-5173.

[30] S. M. Mousavi, A bi-objective mathematical programming model for truck scheduling problem in a cross-dock system considering the sequencing and outsourcing of products under interval-valued fuzzy uncertainty conditions, Journal of Industrial Engineering Research In Production Systems, 8(16) (2020), 137-157.

[31] S. M. Mousavi, B. Vahdani, R. Tavakkoli-Moghaddam, H. Hashemi, Location of cross-docking centers and vehicle
routing scheduling under uncertainty: A fuzzy possibilistic-stochastic programming model, Applied Mathematical
Modelling, 38(7-8) (2014), 2249-2264.

[32] D. Ozgen, B. Gulsun, Combining possibilistic linear programming and fuzzy AHP for solving the multi-objective
capacitated multi-facility location problem, Information Sciences, 268 (2014), 185-201.

[33] M. Rajabzadeh, S. M. Mousavi, Allocation of products to a heterogeneous  eet of trucks in a cross-docking center
based on carbon emissions and costs in food and beverage industry: Novel uncertain solution approaches, Journal of
Environmental Management, 332 (2023), 117071.

[34] A. Rijal, M. Bijvank, R. de Koster, Integrated scheduling and assignment of trucks at unit-load cross-dock terminals
with mixed service mode dock doors, European Journal of Operational Research, 278(3) (2019), 752-771.

[35] H. Savoji, S. M. Mousavi, J. Antucheviciene, M. Pavlovskis, A robust possibilistic bi-objective mixed integer model
for green biofuel supply chain design under uncertain conditions, Sustainability, 14(20) (2022), 13675.

[36] S. I. Sayed, I. Contreras, J. A. Diaz, D. E. Luna, Integrated cross-dock door assignment and truck scheduling with
handling times, TOP, 28(3) (2020), 705-727.

[37] R. Shahabi-Shahmiri, S. Asian, R. Tavakkoli-Moghaddam, S. M. Mousavi, M. Rajabzadeh, A routing and scheduling
problem for cross-docking networks with perishable products, heterogeneous vehicles and split delivery, Computers
and Industrial Engineering, 157 (2021), 107299.

[38] A. Shahmardan, M. S. Sajadieh, Truck scheduling in a multi-door cross-docking center with partial unloading-
Reinforcement learning-based simulated annealing approaches, Computers and Industrial Engineering, 139 (2020),
106134.

[39] G. Stalk, P. Evans, L. E. Shulman, Competing on capabilities: The new rules of corporate strategy, Harvard Business
Review, 63(2) (1992), 57-69.

[40] B. Vahdani, M. Zandieh, Scheduling trucks in cross-docking systems: Robust meta-heuristics, Computers and
Industrial Engineering, 58(1) (2010), 12-24.

[41] J. Van Belle, P. Valckenaers, G. Vanden Berghe, D. Cattrysse, A tabu search approach to the truck scheduling
problem with multiple docks and time windows, Computers and Industrial Engineering, 66(4) (2013), 818-826.

[42] J. S. Yao, F. T. Lin, Constructing a fuzzy  ow-shop sequencing model based on statistical data, International Journal
of Approximate Reasoning, 29(3) (2002), 215-234.

[43] W. Yu, P. J. Egbelu, Scheduling of inbound and outbound trucks in cross docking systems with temporary storage,
European Journal of Operational Research, 184(1) (2008), 377-396.

[44] H. J. Zimmermann, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and
Systems, 1(1) (1978), 45-55.