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A developed nonlinear model for the location-allocation and transportation problems in a cross-docking distribution network

Author

Listed:
  • Saeid Nasrollahi
  • Hasan Hosseini-Nasab
  • Mohamad Bagher Fakhrzad
  • Mahboobeh Honarvar

Abstract

This paper addresses the location-allocation and transportation problem in designing a cross-docking distribution network that consists of suppliers, cross-docks, and plants. A developed mixed-integer nonlinear model is proposed for a post-distribution cross-docking strategy with multiple cross-docks and products that cross-docks can be connected. The objective function is to minimize the total cost comprising the cost of established cross-docks and transportation costs. For obtaining this model, at first, two models are introduced and compared (basic nonlinear model 1 and nonlinear model 2 with the possibility of connections between cross-docks). The results indicate that the total cost decreases when the connection between the cross-docks exists. Therefore, model 2 is more efficient and suitable than model 1. Then, the consolidation of plant orders is added to model 2, and the developed model is formulated. Finally, some problems with different sizes are generated randomly and solved by GAMS software to evaluate the accuracy of the model.

Suggested Citation

  • Saeid Nasrollahi & Hasan Hosseini-Nasab & Mohamad Bagher Fakhrzad & Mahboobeh Honarvar, 2022. "A developed nonlinear model for the location-allocation and transportation problems in a cross-docking distribution network," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 127-148.
    • Handle: RePEc:wut:journl:v:32:y:2022:i:1:p:127-148:id:2619
    DOI: 10.37190/ord220107
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    References listed on IDEAS

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    1. Buijs, Paul & Vis, Iris F.A. & Carlo, Héctor J., 2014. "Synchronization in cross-docking networks: A research classification and framework," European Journal of Operational Research, Elsevier, vol. 239(3), pages 593-608.
    2. Boysen, Nils & Fliedner, Malte, 2010. "Cross dock scheduling: Classification, literature review and research agenda," Omega, Elsevier, vol. 38(6), pages 413-422, December.
    3. Jayaraman, Vaidyanathan & Ross, Anthony, 2003. "A simulated annealing methodology to distribution network design and management," European Journal of Operational Research, Elsevier, vol. 144(3), pages 629-645, February.
    4. Ma, Hong & Miao, Zhaowei & Lim, Andrew & Rodrigues, Brian, 2011. "Crossdocking distribution networks with setup cost and time window constraint," Omega, Elsevier, vol. 39(1), pages 64-72, January.
    5. Vincent F. Yu & Parida Jewpanya & Voratas Kachitvichyanukul, 2016. "Particle swarm optimization for the multi-period cross-docking distribution problem with time windows," International Journal of Production Research, Taylor & Francis Journals, vol. 54(2), pages 509-525, January.
    6. C S Sung & S H Song, 2003. "Integrated service network design for a cross-docking supply chain network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1283-1295, December.
    7. C S Sung & W Yang, 2008. "An exact algorithm for a cross-docking supply chain network design problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 119-136, January.
    8. Ladier, Anne-Laure & Alpan, Gülgün, 2016. "Cross-docking operations: Current research versus industry practice," Omega, Elsevier, vol. 62(C), pages 145-162.
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