The vehicle platooning problem: Computational complexity and heuristics

•Develops a framework for modeling platooning vehicles traveling in road networks.•Defines the vehicle platooning problem and proves finding its optimum is NP-hard.•Presents heuristics that can solve large instances of the platooning problem. We create a mathematical framework for modeling trucks tr...

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Vydáno v:Transportation research. Part C, Emerging technologies Ročník 60; číslo C; s. 258 - 277
Hlavní autoři: Larsson, Erik, Sennton, Gustav, Larson, Jeffrey
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States Elsevier India Pvt Ltd 01.11.2015
Elsevier
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ISSN:0968-090X, 1879-2359, 1879-2359
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Abstract •Develops a framework for modeling platooning vehicles traveling in road networks.•Defines the vehicle platooning problem and proves finding its optimum is NP-hard.•Presents heuristics that can solve large instances of the platooning problem. We create a mathematical framework for modeling trucks traveling in road networks, and we define a routing problem called the platooning problem. We prove that this problem is NP-hard, even when the graph used to represent the road network is planar. We present integer linear programming formulations for instances of the platooning problem where deadlines are discarded, which we call the unlimited platooning problem. These allow us to calculate fuel-optimal solutions to the platooning problem for large-scale, real-world examples. The problems solved are orders of magnitude larger than problems previously solved exactly in the literature. We present several heuristics and compare their performance with the optimal solutions on the German Autobahn road network. The proposed heuristics find optimal or near-optimal solutions in most of the problem instances considered, especially when a final local search is applied. Assuming a fuel reduction factor of 10% from platooning, we find fuel savings from platooning of 1–2% for as few as 10 trucks in the road network; the percentage of savings increases with the number of trucks. If all trucks start at the same point, savings of up to 9% are obtained for only 200 trucks.
AbstractList •Develops a framework for modeling platooning vehicles traveling in road networks.•Defines the vehicle platooning problem and proves finding its optimum is NP-hard.•Presents heuristics that can solve large instances of the platooning problem. We create a mathematical framework for modeling trucks traveling in road networks, and we define a routing problem called the platooning problem. We prove that this problem is NP-hard, even when the graph used to represent the road network is planar. We present integer linear programming formulations for instances of the platooning problem where deadlines are discarded, which we call the unlimited platooning problem. These allow us to calculate fuel-optimal solutions to the platooning problem for large-scale, real-world examples. The problems solved are orders of magnitude larger than problems previously solved exactly in the literature. We present several heuristics and compare their performance with the optimal solutions on the German Autobahn road network. The proposed heuristics find optimal or near-optimal solutions in most of the problem instances considered, especially when a final local search is applied. Assuming a fuel reduction factor of 10% from platooning, we find fuel savings from platooning of 1–2% for as few as 10 trucks in the road network; the percentage of savings increases with the number of trucks. If all trucks start at the same point, savings of up to 9% are obtained for only 200 trucks.
We create a mathematical framework for modeling trucks traveling in road networks, and we define a routing problem called the platooning problem. We prove that this problem is NP-hard, even when the graph used to represent the road network is planar. We present integer linear programming formulations for instances of the platooning problem where deadlines are discarded, which we call the unlimited platooning problem. These allow us to calculate fuel-optimal solutions to the platooning problem for large-scale, real-world examples. The problems solved are orders of magnitude larger than problems previously solved exactly in the literature. We present several heuristics and compare their performance with the optimal solutions on the German Autobahn road network. The proposed heuristics find optimal or near-optimal solutions in most of the problem instances considered, especially when a final local search is applied. Assuming a fuel reduction factor of 10% from platooning, we find fuel savings from platooning of 1-2% for as few as 10 trucks in the road network; the percentage of savings increases with the number of trucks. If all trucks start at the same point, savings of up to 9% are obtained for only 200 trucks.
Author Larson, Jeffrey
Sennton, Gustav
Larsson, Erik
Author_xml – sequence: 1
  givenname: Erik
  surname: Larsson
  fullname: Larsson, Erik
  organization: KTH Royal Institute of Technology, Automatic Control Department, Stockholm, Sweden
– sequence: 2
  givenname: Gustav
  surname: Sennton
  fullname: Sennton, Gustav
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  givenname: Jeffrey
  surname: Larson
  fullname: Larson, Jeffrey
  email: jmlarson@anl.gov
  organization: Argonne National Laboratory, Mathematics and Computer Science Division, Argonne, IL, USA
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ISSN 0968-090X
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Keywords Vehicle routing
Vehicle platooning
Computational complexity
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SSID ssj0001957
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Snippet •Develops a framework for modeling platooning vehicles traveling in road networks.•Defines the vehicle platooning problem and proves finding its optimum is...
We create a mathematical framework for modeling trucks traveling in road networks, and we define a routing problem called the platooning problem. We prove that...
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StartPage 258
SubjectTerms Computational complexity
Vehicle platooning
Vehicle routing
Title The vehicle platooning problem: Computational complexity and heuristics
URI https://dx.doi.org/10.1016/j.trc.2015.08.019
https://www.osti.gov/biblio/1237849
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