A column-and-row generation approach for the flying sidekick travelling salesman problem

Boccia, Maurizio; Masone, Adriano; Sforza, Antonio; Sterle, Claudio

doi:10.1016/j.trc.2020.102913

Cited by 65 publications

(35 citation statements)

References 27 publications

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“…The authors proposed a Mixed Integer Linear Programming (MILP) formulation for the FSTSP and a heuristic since only instances with up to 10 customers can be solved to optimality within a reasonable amount of time. Since this first work on the FSTSP, many contributions have been proposed in the literature to solve it [3,12,13,16,28,33], to cite only a few. A small number of FSTSP instances with up to 39 customers have been optimally solved while heuristic approaches are able to tackle instances with up to 229 customers.…”

Section: Literature Reviewmentioning

confidence: 99%

“…FIGURE 3 An example of the lower bound solution exactly account for (iii), the time spent waiting for the drone since its solution does not provide the launch and rendezvous locations of each sortie. However, in the case where drone speed is very high relative to truck speed, the time spent by the truck waiting for the drone may in fact be very small.…”

Section: Lower Bound For Mvdrp-elmentioning

confidence: 99%

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The multivisit drone routing problem with edge launches: An iterative approach with discrete and continuous improvements

2022

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In recent years, the usage of drones in last‐mile logistics has stirred great interest in the operations research community. Many papers have considered schemes of hybrid truck‐and‐drone delivery. In this paper, we focus on the Multivisit Drone Routing Problem with Edge Launches (MVDRP‐EL) which assumes: a heterogenous set of packages, a drone capable of carrying multiple packages at a time and that can be launched and retrieved along an edge, a flexible launch/retrieval site set, and a user‐defined energy depletion function. We believe this paper is the first to exploit edge launch ability through a global continuous approach. In this context, we propose an original formulation based on the Covering Salesman Problem to compute a valid lower bound for the problem and an iterative solution method to determine a MVDRP‐EL solution with quality launch/retrieval sites along the road network edges. Each iteration of the solution method consists of two phases. In the first phase, the road network edges are discretized to obtain launch/retrieval sites, and a first solution is determined. In the second phase, the truck route is set and we reduce the completion time by carefully synchronizing truck and drone routes by solving an original Mixed Integer Second Order Cone Program. The lower bound formulation and the proposed method have been tested on several instances and results indicate the effectiveness of the proposed method and the potential value of launching along an edge, respectively.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Lower Bound For Mvdrp-elmentioning

confidence: 99%

The multivisit drone routing problem with edge launches: An iterative approach with discrete and continuous improvements

2022

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“…Furthermore, the drone is allowed to fly between customers, while the truck should travel along with the road network. The problem is also addressed by [54][55][56][57][58][59][60][61], which employed different solution methods. The FSTSP has been extended in different ways.…”

Section: ) Collaborative Htdds Operations With Truck and Drone Deliverymentioning

confidence: 99%

“…Thus, for the two vehicles, it is feasible to consider a separate road network, where the truck has its own road network, representing the potential locations for launching and collecting the drone. • Truck and drone distances are calculated using the Euclidean metric [60,61,67,69,76,84,85,87,90,92,99,103,115,117,118,131,137]. In this case, both vehicles are assumed to travel in a straight line, without following any road network.…”

Section: ) Model Assumptions and Parametersmentioning

confidence: 99%

Hybrid Truck-Drone Delivery Systems: A Systematic Literature Review

Madani

Ndiaye

2022

IEEE Access

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Owing to the continued development of e-commerce, logisticians now have an outstanding obligation to tackle last-mile delivery challenges. A number of logistics providers have suggested the incorporation of drones with trucks to provide a more flexible delivery system. This paper analyzes the content of 95 publications related to hybrid truck-drone delivery systems (HTDDS) in the context of lastmile delivery. First, a brief overview of the potential implementation of drone delivery systems is presented, including their integration with other vehicles. The overview aims to demonstrate the operational characteristics of such systems and their implications. Then, the surveyed literature is classified based on vehicles roles, system configuration, problem formulation, and solution methods. In relation to this research, several key findings and potential research directions are discussed. Despite the high level of interest in HTDDS research, it is still in its early phases and requires improvements in various areas. The payload capacity, speed, range, and energy consumption are all factors that must be considered in the modeling of drone characteristics. Almost all studies identify customer requests before the delivery operation begins. However, customer demands for immediate delivery present an opportunity for real-time optimization to provide solutions for e-commerce activities. Environmental issues are developing, as the last-mile delivery problem is regarded as the most polluting portion of the supply chain. Thus, more consideration should be given to the environmental impact of HTDDS. Finally, research on drone routing related to air traffic management has received relatively little attention.INDEX TERMS Drones, hybrid truck-drone delivery systems, last-mile delivery, routing.

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“…However, the range is independent from the speed. Many additional heuristic algorithms, e.g., [6,12,22,23,34], and exact approaches, e.g., [3,4,14,15,36,44], have been designed to solve these two basic problems or closely related variants. Currently, the best-known exact approach for a single tandem with one drone is a branch-and-price algorithm introduced in [36].…”

Section: Related Literaturementioning

confidence: 99%

The vehicle routing problem with drones and drone speed selection

Tamke¹,

Buscher²

2021

Preprint

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Joint parcel delivery by trucks and drones has enjoyed significant attention for some time, as the advantages of one delivery method offset the disadvantages of the other. This paper focuses on the vehicle routing problem with drones and drone speed selection (VRPD-DSS), which considers speed-dependent energy consumption and drone-charging in detail. For this purpose, we formulate a comprehensive mixed-integer problem that aims to minimize the operational costs consisting of fuel consumption costs of the trucks, labor costs for the drivers, and energy costs of the drones. The speed at which a drone performs a flight must be selected from a discrete set. We introduce preprocessing steps to eliminate dominated speeds for a flight to reduce the problem size and use valid inequalities to accelerate the solution process. The consideration of speed-dependent energy consumption leads to the fact that it is advisable to perform different flights at different speeds and not to consistently operate a drone at maximum speed. Instead, drone speed should be selected to balance drone range and speed of delivery. Our extensive computational study of a rural real-world setting shows that, by modeling energy consumption realistically, the savings in operational costs compared to truck-only delivery are significant but smaller than those identified in previously published work. Our analysis further reveals that the greatest savings stem from the fact that overall delivery time decreases compared to truck-only delivery, allowing costly truck-driver time to be reduced. The additional energy costs of the drone, however, are largely negligible.

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A column-and-row generation approach for the flying sidekick travelling salesman problem

Cited by 65 publications

References 27 publications

The multivisit drone routing problem with edge launches: An iterative approach with discrete and continuous improvements

The multivisit drone routing problem with edge launches: An iterative approach with discrete and continuous improvements

Hybrid Truck-Drone Delivery Systems: A Systematic Literature Review

The vehicle routing problem with drones and drone speed selection

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