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Integrated cross-dock door assignment and truck scheduling with handling times

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Abstract

In a cross-dock, commodities are unloaded from incoming trucks, consolidated according to their destinations, and then loaded into outgoing trucks with little or no storage in between. In this paper, we address an integrated cross-dock door assignment and truck scheduling problem to simultaneously determine the assignment and scheduling of incoming trucks to inbound doors and outgoing trucks to outbound doors, with the objective of minimizing the total time to process all trucks. We consider handling times to be truckload and door dependent and to include unloading, transfer and loading times of commodities. We propose two mathematical programming formulations and two hybrid metaheuristics to solve the problem. We report the results of computational experiments to assess the performance of the formulations and algorithms on a set of benchmark instances.

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References

  • Amini A, Tavakkoli-Moghaddam R, Omidvar A (2014) Cross-docking truck scheduling with the arrival times for inbound trucks and the learning effect for unloading/loading processes. Prod Manuf Res 2(1):784–804

    Google Scholar 

  • Assadi MT, Bagheri M (2016) Differential evolution and population-based simulated annealing for truck scheduling problem in multiple door cross-docking systems. Comput Ind Eng 96:149–161

    Article  Google Scholar 

  • Bellanger A, Hanafi S, Wilbaut C (2013) Three-stage hybrid-flowshop model for cross-docking. Comput Oper Res 40(4):1109–1121

    Article  Google Scholar 

  • Bodnar P, de Koster R, Azadeh K (2015) Scheduling trucks in a cross-dock with mixed service mode dock doors. Transp Sci 51(1):112–131

    Article  Google Scholar 

  • Boysen N, Fliedner M (2010) Cross dock scheduling: Classification, literature review and research agenda. Omega 38(6):413–422

    Article  Google Scholar 

  • Boysen N, Fliedner M, Scholl A (2010) Scheduling inbound and outbound trucks at cross docking terminals. OR Spectrum 32(1):135–161

    Article  Google Scholar 

  • Buijs P, Vis IF, Carlo HJ (2014) Synchronization in cross-docking networks: a research classification and framework. Eur J Oper Res 239(3):593–608

    Article  Google Scholar 

  • Chen F, Lee CY (2009) Minimizing the makespan in a two-machine cross-docking flow shop problem. Eur J Oper Res 193(1):59–72

    Article  Google Scholar 

  • Chen F, Song K (2009) Minimizing makespan in two-stage hybrid cross docking scheduling problem. Comput Oper Res 36(6):2066–2073

    Article  Google Scholar 

  • Chen R, Fan B, Tang G (2009) Scheduling problems in cross docking. In: International conference on combinatorial optimization and applications, Springer, pp 421–429

  • Cota PM, Gimenez BM, Araújo DP, Nogueira TH, de Souza MC, Ravetti MG (2016) Time-indexed formulation and polynomial time heuristic for a multi-dock truck scheduling problem in a cross-docking centre. Comput Ind Eng 95:135–143

    Article  Google Scholar 

  • Ertek G (2005) A tutorial on crossdocking. In: Proceedings of 3rd international logistics and supply chain congress, Istanbul, Turkey. International logistic supply chain congress

  • Festa P, Resende MG (2009) An annotated bibliography of grasp—-part I: algorithms. Int Trans Oper Res 16(1):1–24

    Article  Google Scholar 

  • Fonseca GB, Nogueira TH, Ravetti MG (2019) A hybrid lagrangian metaheuristic for the cross-docking flow shop scheduling problem. Eur J Oper Res 275(1):139–154

    Article  Google Scholar 

  • Gelareh S, Glover F, Guemri O, Hanafi S, Nduwayo P, Todosijević R (2020) A comparative study of formulations for a cross-dock door assignment problem. Omega 91:102015

    Article  Google Scholar 

  • Guignard M, Hahn PM, Pessoa AA, da Silva DC (2012) Algorithms for the cross-dock door assignment problem. In: Proceedings of the fourth international workshop on model-based metaheuristics

  • Hansen P, Mladenović N (2001) Variable neighborhood search: principles and applications. Eur J Oper Res 130(3):449–467

    Article  Google Scholar 

  • Hermel D, Hasheminia H, Adler N, Fry MJ (2016) A solution framework for the multi-mode resource-constrained cross-dock scheduling problem. Omega 59:157–170

    Article  Google Scholar 

  • Konur D, Golias MM (2013) Cost-stable truck scheduling at a cross-dock facility with unknown truck arrivals: a meta-heuristic approach. Transp Res Part E Logist Transp Rev 49(1):71–91

    Article  Google Scholar 

  • Ladier AL, Alpan G (2016) Cross-docking operations: current research versus industry practice. Omega 62:145–162

    Article  Google Scholar 

  • Lourenço HR, Martin OC, Stützle T (2003) Iterated local search. Handbook of metaheuristics. Springer, Berlin, pp 320–353

    Chapter  Google Scholar 

  • Nassief W, Contreras I, As’ ad R (2016) A mixed-integer programming formulation and lagrangean relaxation for the cross-dock door assignment problem. Int J Prod Res 54(2):494–508

    Article  Google Scholar 

  • Nassief W, Contreras I, Jaumard B (2018) A comparison of formulations and relaxations for cross-dock door assignment problems. Comput Oper Res 94:76–88

    Article  Google Scholar 

  • Penna PHV, Subramanian A, Ochi LS (2013) An iterated local search heuristic for the heterogeneous fleet vehicle routing problem. J Heurist 19(2):201–232

    Article  Google Scholar 

  • Rijal A, Bijvank M, de Koster R (2019) Integrated scheduling and assignment of trucks at unit-load cross-dock terminals with mixed service mode dock doors. Eur J Oper Res 278(3):752–771

    Article  Google Scholar 

  • Serrano C, Delorme X, Dolgui A (2017) Scheduling of truck arrivals, truck departures and shop-floor operation in a cross-dock platform, based on trucks loading plans. Int J Prod Econ 194:102–112

    Article  Google Scholar 

  • Shakeri M, Low MYH, Turner SJ, Lee EW (2012) A robust two-phase heuristic algorithm for the truck scheduling problem in a resource-constrained crossdock. Comput Oper Res 39(11):2564–2577

    Article  Google Scholar 

  • Stephan K, Boysen N (2011) Cross-docking. J Manag Control 22(1):129

    Article  Google Scholar 

  • Van Belle J, Valckenaers P, Cattrysse D (2012) Cross-docking: state of the art. Omega 40(6):827–846

    Article  Google Scholar 

  • Wisittipanich W, Hengmeechai P (2017) Truck scheduling in multi-door cross docking terminal by modified particle swarm optimization. Comput Ind Eng 113:793–802

    Article  Google Scholar 

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Acknowledgements

The research of the first two authors was partly funded by the Canadian Natural Sciences and Engineering Research Council (NSERC) under Grant 2018-06704. This support is gratefully acknowledged.

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Correspondence to Ivan Contreras.

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Sayed, S.I., Contreras, I., Diaz, J.A. et al. Integrated cross-dock door assignment and truck scheduling with handling times. TOP 28, 705–727 (2020). https://doi.org/10.1007/s11750-020-00556-z

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