Two-phase semi-Lagrangian relaxation for solving the uncapacitated distribution centers location problem for B2C E-commerce

Huizhen Zhang (), Cesar Beltran-Royo, Bo Wang and Ziying Zhang
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Huizhen Zhang: University of Shanghai for Science and Technology
Cesar Beltran-Royo: King Juan Carlos University
Bo Wang: University of Shanghai for Science and Technology
Ziying Zhang: Shanghai University of Engineering Science

Computational Optimization and Applications, 2019, vol. 72, issue 3, No 11, 827-848

Abstract: Abstract This paper develops a mixed integer programming model for determining uncapacitated distribution centers location (UDCL) for B2C E-commerce. Based on the characteristics of distribution system for B2C E-commerce firms, the impact of supply cost of multi-commodity is considered in this model. Combining with the properties of the semi-Lagrangian relaxation (SLR) dual problem in the UDCL case, a two-phase SLR algorithm with good convergency property is furthermore developed for solving the UDCL problem. For the sake of contrastive analysis, this paper has performed computational experiments on 15 UDCL instances by the mixed integer programming solver, CPLEX, and the approach obtained by combining two-phase SLR algorithm with CPLEX, respectively. The numerical results show that the two-phase SLR algorithm not only can improve the solving speed of the CPLEX solver, but also can provide better results in reasonable time for most instances.

Keywords: Uncapacitated distribution centers location; B2C E-commerce; Semi-Lagrangian relaxation; Dual ascent method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10589-019-00061-5

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