Issue: 2022/Vol.32/No.1, Pages 127-148

A DEVELOPED NONLINEAR MODEL FOR THE LOCATION-ALLOCATION AND TRANSPORTATION PROBLEMS IN A CROSS-DOCKING DISTRIBUTION NETWORK

Saeid Nasrollahi, Hasan Hosseini-Nasab, Mohamad Bagher Fakhrzad, Mahboobeh Honarvar

Full paper (PDF)    

Cite as: S. Nasrollahi, H. Hosseini-Nasab, M. B. Fakhrzad, M. Honarvar. A developed nonlinear model for the location-allocation and transportation problems in a cross-docking distribution network. Operations Research and Decisions 2022: 32(1), 127-148. DOI 10.37190/ord220107

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.

Keywords: cross-docking, location-allocation, transportation problem, mixed-integer nonlinear model, consolidation

Received: 9 June 2021    Accepted: 18 November 2021