Volume 20, Issue 2 (6-2023)
jor 2023, 20(2): 149-169 |
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Nasseri S H, Ghaffari-far F. A Multi-Objective Mathematical Model for Vehicle Location-Routing Problem with Flexible Fuzzy Constraints. jor 2023; 20 (2) :149-169
URL: http://jamlu.liau.ac.ir/article-1-2185-en.html
URL: http://jamlu.liau.ac.ir/article-1-2185-en.html
Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran , nhadi57@gmail.com
Abstract: (1334 Views)
One of the most important and widely used issues in the logistics sector of any supply chain is the selection of distribution centers for the supply of goods to customers, as well as the creation of suitable routes for vehicles to serve customers. The problem of location-routing with the purpose of the location of facilities and routing of vehicles is one of the most used problems in the logistics sector. In this research, we will present a multi-objective model for vehicle location-routing problems with a flexible fuzzy approach, whose objectives are to minimize the costs related to the establishment of candidate supply centers, the fixed cost of using vehicles, and the cost of transportation, as well as maximizing satisfaction. customer by minimizing shortage costs and reducing harmful environmental effects. On the other hand, in order to make the mathematical model compatible with the real conditions, the restrictions related to the capacity of the vehicles have been considered as a flexible phase. Also, the problem has been modeled as a multi-period model with the presence of the distance limit and the accessibility factor for each vehicle. To solve the model, it is first converted into a single-objective model using the weight method and then solved using mixed integer programming. In the end, a numerical example is provided to show the model's performance, which was solved using the GEMS software, and the results are shown.
Keywords: Supply Chain, Multi-Objective Modeling, Location-Routing Problem, Flexible Fuzzy Programming
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