Scheduling of Trucks at The Cross-Dock By The 4th Party Logistics Service Provider, Taking Into Account Fixed Costs and Waiting Costs

Document Type : Research/ Original/ Regular Article

Authors

1 Ph.D student of Industrial Engineering Faculty, Alborz Campus, University of Tehran, Tehran, Iran

2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

3 Industrial Engineering school, university of tehran

Abstract

In this paper, the scheduling of inbound and outbound trucks in a cross-dock is investigated. The objective is to minimize the total cost of transportation from the supplier to the         cross-dock, transfer costs from the cross-dock to the retailers, fixed costs for selecting and contracting with the desired fleets, and also the waiting time of the trucks at the cross-dock. Also, the selection of more suitable fleets, as well as the selection and allocation of vehicles for each fleet to transport goods from each supplier, as well as the allocation of the appropriate vehicle to transport goods for each retail store, are calculated according to heterogeneous vehicles and the various orders of each retailer. Also, the appropriate allocation of trucks to the doors, the sequence of trucks in the queue, and the arrival time and departure time of the vehicles are calculated. A MIP model is formulated. Since this model is NP-Hard, the meta-heuristic method of the genetic algorithm is also presented to solve larger problems. Then, to confirm the effectiveness, several examples are examined and the results obtained from solving the mathematical model, and the meta-heuristic solution are compared. In the end, a detailed sensitivity analysis has been performed on the outputs, which shows that the proposed method is fully approved and works very close to the exact method in small dimensions, with the difference that it has the ability to solve larger problems as well.

Keywords

Main Subjects

References

  • Moody, "Labour and the contradictory logic of logistics," Work Organisation, Labour & Globalisation, 2019.
  • Ghafari Turan, c. Mahmoudi, and M. Mossadegh Khah, "Providing a new and comprehensive conceptual model framework for logistics integration," Scientific Journal of SCM, vol. 23, no. 70, pp. -, 2021. [Online]. Available: https://scmj.ihu.ac.ir/article_206698_d826f15956e2bea71f66b81c17712213.pdf (In persian).
  • F. A. Vis and K. J. Roodbergen, "Positioning of goods in a cross-docking environment," Computers & Industrial Engineering, vol. 54, no. 3, pp. 677-689, 2008/04/01/ 2008, doi: https://doi.org/10.1016/j.cie.2007.10.004.
  • G. T. And. H. Badali, "Transit Docking Operations of Current Researches Compared to Industrial Experiences," SCM Scientific Journal of Imam Hossein University, 2016.
  • F. Yu, P. Jewpanya, and A. A. N. P. Redi, "Open vehicle routing problem with cross-docking," Computers & Industrial Engineering, vol. 94, pp. 6-17, 2016/04/01/ 2016, doi: https://doi.org/10.1016/j.cie.2016.01.018. (In persian)
  • Sh. And. P. Samui, "Using the JIT port analysis method to optimize the layout of the transit dock in the system," Imam Hossein University Supply Chain Management Scientific Journal, 2022.
  • Nassief, I. Contreras, and B. Jaumard, "A comparison of formulations and relaxations for cross-dock door assignment problems," COR journal, vol. 94, pp. 76-88, 2018.
  • Madani-Isfahani, R. Tavakkoli-Moghaddam, and B. Naderi, "Multiple cross-docks scheduling using two meta-heuristic algorithms," Computers & Industrial Engineering, vol. 74, pp. 129-138, 2014.
  • B. Fonseca, T. H. Nogueira, and M. G. Ravetti, "A hybrid Lagrangian metaheuristic for the cross-docking flow shop scheduling problem," EJOR, vol. 275, no. 1, pp. 139-154, 2019.
  • M. N. Kh. And. F. Shahrabi, "Scheduling and routing of vehicles in a stable transit dock," University of Tehran thesis, 2018.
  • Behnamian, S. M. T. Fatemi Ghomi, F. Jolai, and P. Heidary, "Location-allocation and scheduling of inbound and outbound trucks in multiple cross-dockings considering breakdown trucks," JOIE, vol. 11, no. 1, pp. 51-65, 2018.
  • R. Tootkaleh, S. F. Ghomi, and M. S. Sajadieh, "Cross dock scheduling with fixed outbound trucks departure times under substitution condition," CAIE, vol. 92, pp. 50-56, 2016.
  • Berghman, C. Briand, R. Leus, and P. Lopez, "The truck scheduling problem at cross-docking terminals," 04/01 2012.
  • Khalili-Damghani, M. Tavana, F. J. Santos-Arteaga, and M. Ghanbarzad-Dashti, "A customized genetic algorithm for solving multi-period cross-dock truck scheduling problems," Measurement, vol. 108, pp. 101-118, 2017/10/01/ 2017, doi: https://doi.org/10.1016/j.measurement.2017.05.027.
  • Heidari, S. H. Zegordi, and R. Tavakkoli-Moghaddam, "Modeling truck scheduling problem at a cross-dock facility through a bi-objective bi-level optimization approach," JIM, vol. 29, no. 5, pp. 1155-1170, 2018/06/01 2018, doi: 10.1007/s10845-015-1.3-160
  • M. Fathollahi-Fard, M. Ranjbar-Bourani, N. Cheikhrouhou, and M. Hajiaghaei-Keshteli, "Novel modifications of social engineering optimizer to solve a truck scheduling problem in a cross-docking system," CIE, vol. 137, p. 106103, 2019/11/01/ 2019, doi: https://doi.org/10.1016/j.cie.2019.106103.
  • M. T. Fatemi Ghomi, S. Rahmanzadeh, and M. Sheikh Sajadieh, "Cross dock scheduling under multi-period condition," JISE, vol. 12, no. 4, pp. 208-226, 2019.
  • Motaghedi-Larijani, "Solving the number of cross-dock open doors optimization problem by combination of NSGA-II and multi-objective simulated annealing," WFSC, vol. 128, p. 109448, 2022/10/01/ 2022, doi: https://doi.org/10.1016/j.asoc.2022.109448.
  • Köylüoglu and K. Krumme, "Kriterienfindung für nachhaltige Geschäftsprozesse in der Logistik."
  • Fassetta, Implementing Cross-Docking Facilities Within a Third-Party Logistics Provider. University of Johannesburg (South Africa), 2020.
  • Becker et al., "Geschäftsmodelle in der digitalen Welt," Digitale Transformation von Geschäftsmodellen–Ein konzeptioneller Bezugsrahmen. Bamberg: Springer Gabler, pp. 15-3, 2019.
  • Xu, Y. Liu, and M. Chen, "Optimisation of partial collaborative transportation scheduling in supply chain management with 3PL using ACO," ESA, vol. 71, pp. 173-191, 2017.
  • Molavi, A. Shahmardan, and M. S. Sajadieh, "Truck scheduling in a cross docking systems with fixed due dates and shipment sorting," CIE, vol. 117, pp. 29-40, 2018.
  • M. Nasiri, A. Rahbari, F. Werner, and R. Karimi, "Incorporating supplier selection and order allocation into the vehicle routing and multi-cross-dock scheduling problem," IJPR, vol. 56, no. 19, pp. 6527-6552, 2018.
  • Rijal, M. Bijvank, and R. de Koster, "Integrated scheduling and assignment of trucks at unit-load cross-dock terminals with mixed service mode dock doors," EJOR, vol. 278, no. 3, pp. 752-771, 2019/11/01/ 2019, doi: https://doi.org/10.1016/j.ejor.2019.04.028.
  • Shahabi-Shahmiri, S. Asian, R. Tavakkoli-Moghaddam, S. M. Mousavi, and M. Rajabzadeh, "A routing and scheduling problem for cross-docking networks with perishable products, heterogeneous vehicles and split delivery," CIE, vol. 157, p. 107299, 2021/07/01/ 2021, doi: https://doi.org/10.1016/j.cie.2021.107299.
  • Qiu, D. Zhou, Y. Du, J. Liu, P. M. Pardalos, and J. Qiao, "The two-echelon production routing problem with cross-docking satellites," TRE, vol. 147, p. 102210, 2021/03/01/ 2021, doi: https://doi.org/10.1016/j.tre.2020.102210.
  • Theophilus, M. A. Dulebenets, J. Pasha, Y.-y. Lau, A. M. Fathollahi-Fard, and A. Mazaheri, "Truck scheduling optimization at a cold-chain cross-docking terminal with product perishability considerations," CIE, vol. 156, p. 107240, 2021/06/01/ 2021, doi: https://doi.org/10.1016/j.cie.2021.107240.
  • Gunawan, A. T. Widjaja, P. Vansteenwegen, and V. F. Yu, "A matheuristic algorithm for the vehicle routing problem with cross-docking," WFSC, vol. 103, p. 107163, 2021/05/01/ 2021, doi: https://doi.org/10.1016/j.asoc.2021.107163.
  • Rostami, S. Avakh Darestani, and M. Movassaghi, "Modelling cross-docking in a three-level supply chain with stochastic service and queuing system: MOWFA algorithm," Algorithms, vol. 15, no. 8, p. 265, 2022.

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History

  • Receive Date: 03 April 2023
  • Revise Date: 02 August 2023
  • Accept Date: 25 October 2023
  • Publish Date: 23 October 2023

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