Authors: Matijević, Luka 
Ilin, Vladimir
Davidović, Tatjana 
Jakšić Kruger, Tatjana 
Pardalos, Panos M.
Affiliations: Computer Science 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: General VNS for asymmetric vehicle routing problem with time and capacity constraints
Journal: Computers and Operations Research
Volume: 167
First page: 106630
Issue Date: 1-Jul-2024
Rank: ~M21
ISSN: 0305-0548
DOI: 10.1016/j.cor.2024.106630
Abstract: 
We consider a real-life transportation problem from a hypermarket company in Serbia that consists of delivering online ordered and possibly perishable goods from a single depot to multiple customers. It can be modeled as an asymmetric vehicle routing problem that requires visiting and serving all customers using a limited number of homogeneous vehicles and taking into account time and capacity constraints. The objective function to be minimized is the total distance traveled. We provide a mixed-integer programming (MIP) formulation of the problem and develop several Local Search based metaheuristic methods exploring combinatorial formulation of the considered problem: Multistart Local Search (MLS), Greedy Randomized Adaptive Search Procedure (GRASP), and several variants of General Variable Neighborhood Search (GVNS) methods. All methods are compared on real-life instances provided by the hypermarket company and benchmark instances from the relevant literature. The obtained results show the superiority of GVNS-based methods with respect to both solution quality and running time, confirming that systematic search procedures have more success when dealing with hard optimization problems.
Keywords: Local search | Metaheuristics | Minimization of total distance | Multiple neighborhoods | Routing homogeneous vehicles | Single depot
Publisher: Elsevier
Project: Project no. 451-03-47/2023-01/200156 “Innovative scientific and artistic research from the FTS (activity) domain ” and Contract No. 451-03-47/2023-01/ 200029

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