Exact and heuristic approaches to Truck–Drone Delivery Problems

Collaborative delivery employing drones in last-mile delivery has been an extensively studied topic in recent years. In this paper, it is studied Truck–Drone Delivery Problems (TDDPs) in which a traditional delivery truck is gathered with a drone to cut delivery times and costs. The vehicles work to...

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Main Authors: Júlia C. Freitas, Puca Huachi V. Penna, Túlio A.M. Toffolo
Format: Article
Language:English
Published: Elsevier 2023-01-01
Series:EURO Journal on Transportation and Logistics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S219243762200019X
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author Júlia C. Freitas
Puca Huachi V. Penna
Túlio A.M. Toffolo
author_facet Júlia C. Freitas
Puca Huachi V. Penna
Túlio A.M. Toffolo
author_sort Júlia C. Freitas
collection DOAJ
description Collaborative delivery employing drones in last-mile delivery has been an extensively studied topic in recent years. In this paper, it is studied Truck–Drone Delivery Problems (TDDPs) in which a traditional delivery truck is gathered with a drone to cut delivery times and costs. The vehicles work together in a hybrid operation involving one drone launching from a larger vehicle that operates as a mobile depot and a recharging platform. The drone launches from the truck with a single package to deliver to a customer. Each drone must return to the truck to recharge batteries, pick up another package, and launch again to a new customer location. This work proposes a novel Mixed Integer Programming (MIP) formulation and a heuristic approach to address the problem. The proposed MIP formulation yields better linear relaxation bounds than previously proposed formulations for all instances, and was capable of optimally solving several unsolved instances from the literature. A hybrid heuristic based on the General Variable Neighborhood Search metaheuristic combining Tabu Search concepts is employed to obtain high-quality solutions for large-size instances. The efficiency of the algorithm was evaluated on 1415 benchmark instances from the literature, and over 80% of the best known solutions were improved.
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spelling doaj.art-b4283846f1504b85a29128478a7198c32022-12-22T03:51:38ZengElsevierEURO Journal on Transportation and Logistics2192-43842023-01-0112100094Exact and heuristic approaches to Truck–Drone Delivery ProblemsJúlia C. Freitas0Puca Huachi V. Penna1Túlio A.M. Toffolo2Corresponding author.; Federal University of Ouro Preto, Department of Computing, BrazilFederal University of Ouro Preto, Department of Computing, BrazilFederal University of Ouro Preto, Department of Computing, BrazilCollaborative delivery employing drones in last-mile delivery has been an extensively studied topic in recent years. In this paper, it is studied Truck–Drone Delivery Problems (TDDPs) in which a traditional delivery truck is gathered with a drone to cut delivery times and costs. The vehicles work together in a hybrid operation involving one drone launching from a larger vehicle that operates as a mobile depot and a recharging platform. The drone launches from the truck with a single package to deliver to a customer. Each drone must return to the truck to recharge batteries, pick up another package, and launch again to a new customer location. This work proposes a novel Mixed Integer Programming (MIP) formulation and a heuristic approach to address the problem. The proposed MIP formulation yields better linear relaxation bounds than previously proposed formulations for all instances, and was capable of optimally solving several unsolved instances from the literature. A hybrid heuristic based on the General Variable Neighborhood Search metaheuristic combining Tabu Search concepts is employed to obtain high-quality solutions for large-size instances. The efficiency of the algorithm was evaluated on 1415 benchmark instances from the literature, and over 80% of the best known solutions were improved.http://www.sciencedirect.com/science/article/pii/S219243762200019XUnmanned Aerial VehicleTraveling Salesman ProblemDrone deliveryMixed-integer ProgrammingGeneral Variable Neighborhood Search
spellingShingle Júlia C. Freitas
Puca Huachi V. Penna
Túlio A.M. Toffolo
Exact and heuristic approaches to Truck–Drone Delivery Problems
EURO Journal on Transportation and Logistics
Unmanned Aerial Vehicle
Traveling Salesman Problem
Drone delivery
Mixed-integer Programming
General Variable Neighborhood Search
title Exact and heuristic approaches to Truck–Drone Delivery Problems
title_full Exact and heuristic approaches to Truck–Drone Delivery Problems
title_fullStr Exact and heuristic approaches to Truck–Drone Delivery Problems
title_full_unstemmed Exact and heuristic approaches to Truck–Drone Delivery Problems
title_short Exact and heuristic approaches to Truck–Drone Delivery Problems
title_sort exact and heuristic approaches to truck drone delivery problems
topic Unmanned Aerial Vehicle
Traveling Salesman Problem
Drone delivery
Mixed-integer Programming
General Variable Neighborhood Search
url http://www.sciencedirect.com/science/article/pii/S219243762200019X
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AT tulioamtoffolo exactandheuristicapproachestotruckdronedeliveryproblems