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Title: | Combining probabilistic algorithms, Constraint Programming and Lagrangian Relaxation to solve the vehicle routing problem |
Author: | Guimarans, Daniel Riera Terrén, Daniel Juan, Angel A. Ramos González, Juan José |
Others: | Universitat Autònoma de Barcelona (UAB) Universitat Oberta de Catalunya (UOC) |
Citation: | Guimarans, D., Herrero, R., Riera-Terrén, D., Juan, A.A. & Ramos, J. (2011). Combining probabilistic algorithms, Constraint Programming and Lagrangian Relaxation to solve the vehicle routing problem. Annals of Mathematics and Artificial Intelligence, 62(3), 299-315. doi: 10.1007/s10472-011-9261-y |
Abstract: | This paper presents an original hybrid approach to solve the Capacitated Vehicle Routing Problem (CVRP). The approach combines a Probabilistic Algorithm with Constraint Programming (CP) and Lagrangian Relaxation (LR). After introducing the CVRP and reviewing the existing literature on the topic, the paper proposes an approach based on a probabilistic Variable Neighbourhood Search (VNS) algorithm. Given a CVRP instance, this algorithm uses a randomized version of the classical Clarke and Wright Savings constructive heuristic to generate a starting solution. This starting solution is then improved through a local search process which combines: (a) LR to optimise each individual route, and (b) CP to quickly verify the feasibility of new proposed solutions. The efficiency of our approach is analysed after testing some well-known CVRP benchmarks. Benefits of our hybrid approach over already existing approaches are also discussed. In particular, the potential flexibility of our methodology is highlighted. |
Keywords: | hybrid algorithms variable neighborhood search vehicle routing problem probabilistic algorithms |
DOI: | 10.1007/s10472-011-9261-y |
Document type: | info:eu-repo/semantics/article |
Version: | info:eu-repo/semantics/submittedVersion |
Issue Date: | Jun-2011 |
Publication license: | https://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Appears in Collections: | Articles cientÍfics Articles |
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