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The Piggyback Transportation Problem

Subtitle
Transporting drones launched from a flying warehouse
Publication date
2021-04-10
Document type
Forschungsartikel
Author
Wang, Kai
Pesch, Erwin
Kreß, Dominik 
Fridmann, Ilia
Boysen, Nils
Organisational unit
BWL, insb. Beschaffung und Produktion 
DOI
10.1016/j.ejor.2021.03.064
URI
https://openhsu.ub.hsu-hh.de/handle/10.24405/17285
ISSN
1872-6860
Series or journal
Elsevier European Journal of Operational Research
Periodical volume
296
Periodical issue
2
First page
504
Last page
519
Peer-reviewed
✅
Part of the university bibliography
✅
  • Additional Information
Keyword
Scheduling
Logistics
Work sharing
Approximation algorithm
Abstract
This paper treats the Piggyback Transportation Problem: A large vehicle moves successive batches of small vehicles from a depot to a single launching point. Here, the small vehicles depart toward assigned customers, supply shipments, and return to the depot. Once the large vehicle has returned and another batch of small vehicles has been loaded at the depot, the process repeats until all customers are serviced. With autonomous driving on the verge of practical application, this general setting occurs whenever small autonomous delivery vehicles with limited operating range, e.g., unmanned aerial vehicles (drones) or delivery robots, need to be brought in the proximity of the customers by a larger vehicle, e.g., a truck. We aim at the most elementary decision problem in this context, which is inspired by Amazon’s novel last-mile concept, the flying warehouse. According to this concept, drones are launched from a flying warehouse and – after their return to an earthbound depot – are resupplied to the flying warehouse by an air shuttle. We formulate the Piggyback Transportation Problem, investigate its computational complexity, and derive suited solution procedures. From a theoretical perspective, we prove different important structural problem properties. From a practical point of view, we explore the impact of the two main cost drivers, the capacity of the large vehicle and the fleet size of small vehicles, on service quality.
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