Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows

The application of the principles of sustainability to the implementation of urban freight policies requires the estimation of all the costs and externalities involved. We focus here on the case of access time windows, which ban the access of freight vehicles to central urban areas in many European...

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Main Authors: Rafael Grosso, Jesús Muñuzuri, Alejandro Escudero-Santana, Elena Barbadilla-Martín
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/4621694
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author Rafael Grosso
Jesús Muñuzuri
Alejandro Escudero-Santana
Elena Barbadilla-Martín
author_facet Rafael Grosso
Jesús Muñuzuri
Alejandro Escudero-Santana
Elena Barbadilla-Martín
author_sort Rafael Grosso
collection DOAJ
description The application of the principles of sustainability to the implementation of urban freight policies requires the estimation of all the costs and externalities involved. We focus here on the case of access time windows, which ban the access of freight vehicles to central urban areas in many European cities. Even though this measure seeks to reduce congestion and emissions in the most crowded periods of the day, it also imposes additional costs for carriers and results in higher emissions and energy consumption. We present here a mathematical model for the Vehicle Routing Problem with Access Time Windows, a variant of the VRP suitable for planning delivery routes in a city subject to this type of accessibility restriction. We use the model to find exact solutions to small problem instances based on a case study and then compare the performance over larger instances of a modified savings algorithm, a genetic algorithm, and a tabu search procedure, with the results showing no clear prevalence of any of them, but confirming the significance of those additional costs and externalities.
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spelling doaj-art-064e93f93f59480d90dc24ed1feda53d2025-08-20T02:03:42ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/46216944621694Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time WindowsRafael Grosso0Jesús Muñuzuri1Alejandro Escudero-Santana2Elena Barbadilla-Martín3School of Engineering, University of Seville, CM Descubrimientos, s/n, 41092 Seville, SpainSchool of Engineering, University of Seville, CM Descubrimientos, s/n, 41092 Seville, SpainSchool of Engineering, University of Seville, CM Descubrimientos, s/n, 41092 Seville, SpainSchool of Engineering, University of Seville, CM Descubrimientos, s/n, 41092 Seville, SpainThe application of the principles of sustainability to the implementation of urban freight policies requires the estimation of all the costs and externalities involved. We focus here on the case of access time windows, which ban the access of freight vehicles to central urban areas in many European cities. Even though this measure seeks to reduce congestion and emissions in the most crowded periods of the day, it also imposes additional costs for carriers and results in higher emissions and energy consumption. We present here a mathematical model for the Vehicle Routing Problem with Access Time Windows, a variant of the VRP suitable for planning delivery routes in a city subject to this type of accessibility restriction. We use the model to find exact solutions to small problem instances based on a case study and then compare the performance over larger instances of a modified savings algorithm, a genetic algorithm, and a tabu search procedure, with the results showing no clear prevalence of any of them, but confirming the significance of those additional costs and externalities.http://dx.doi.org/10.1155/2018/4621694
spellingShingle Rafael Grosso
Jesús Muñuzuri
Alejandro Escudero-Santana
Elena Barbadilla-Martín
Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
Complexity
title Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
title_full Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
title_fullStr Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
title_full_unstemmed Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
title_short Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows
title_sort mathematical formulation and comparison of solution approaches for the vehicle routing problem with access time windows
url http://dx.doi.org/10.1155/2018/4621694
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