A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations

Driven by the new laws and regulations concerning the emission of greenhouse gases, it is becoming more and more popular for enterprises to adopt cleaner energy. This research proposes a novel two-echelon vehicle routing problem consisting of mixed vehicles considering battery swapping stations, whi...

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Main Authors: Dan Wang, Hong Zhou
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/22/10779
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author Dan Wang
Hong Zhou
author_facet Dan Wang
Hong Zhou
author_sort Dan Wang
collection DOAJ
description Driven by the new laws and regulations concerning the emission of greenhouse gases, it is becoming more and more popular for enterprises to adopt cleaner energy. This research proposes a novel two-echelon vehicle routing problem consisting of mixed vehicles considering battery swapping stations, which includes one depot, multiple satellites with unilateral time windows, and customers with given demands. The fossil fuel-based internal combustion vehicles are employed in the first echelon, while the electric vehicles are used in the second echelon. A mixed integer programming model for this proposed problem is established in which the total cost, including transportation cost, handling cost, fixed cost of two kinds of vehicles, and recharging cost, is minimized. Moreover, based on the variable neighborhood search, a metaheuristic procedure is developed to solve the problem. To validate its effectiveness, extensive numerical experiments are conducted over the randomly generated instances of different sizes. The computational results show that the proposed metaheuristic can produce a good logistics scheme with high efficiency.
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spelling doaj.art-eee6e888945546909e8c7362aead2e5b2023-11-22T22:18:44ZengMDPI AGApplied Sciences2076-34172021-11-0111221077910.3390/app112210779A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping StationsDan Wang0Hong Zhou1School of Economics and Management, Beihang University, Beijing 100191, ChinaSchool of Economics and Management, Beihang University, Beijing 100191, ChinaDriven by the new laws and regulations concerning the emission of greenhouse gases, it is becoming more and more popular for enterprises to adopt cleaner energy. This research proposes a novel two-echelon vehicle routing problem consisting of mixed vehicles considering battery swapping stations, which includes one depot, multiple satellites with unilateral time windows, and customers with given demands. The fossil fuel-based internal combustion vehicles are employed in the first echelon, while the electric vehicles are used in the second echelon. A mixed integer programming model for this proposed problem is established in which the total cost, including transportation cost, handling cost, fixed cost of two kinds of vehicles, and recharging cost, is minimized. Moreover, based on the variable neighborhood search, a metaheuristic procedure is developed to solve the problem. To validate its effectiveness, extensive numerical experiments are conducted over the randomly generated instances of different sizes. The computational results show that the proposed metaheuristic can produce a good logistics scheme with high efficiency.https://www.mdpi.com/2076-3417/11/22/10779two-echelon vehicle routing problemselectric vehiclestime windowsvariable neighborhood search
spellingShingle Dan Wang
Hong Zhou
A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
Applied Sciences
two-echelon vehicle routing problems
electric vehicles
time windows
variable neighborhood search
title A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
title_full A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
title_fullStr A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
title_full_unstemmed A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
title_short A Two-Echelon Electric Vehicle Routing Problem with Time Windows and Battery Swapping Stations
title_sort two echelon electric vehicle routing problem with time windows and battery swapping stations
topic two-echelon vehicle routing problems
electric vehicles
time windows
variable neighborhood search
url https://www.mdpi.com/2076-3417/11/22/10779
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