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

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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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