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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| Veröffentlicht in: | Transportation research. Part C, Emerging technologies Jg. 60; H. C; S. 258 - 277 |
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| Sprache: | Englisch |
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Elsevier India Pvt Ltd
01.11.2015
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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. |
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| 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 organization: KTH Royal Institute of Technology, Automatic Control Department, Stockholm, Sweden – sequence: 3 givenname: Jeffrey surname: Larson fullname: Larson, Jeffrey email: jmlarson@anl.gov organization: Argonne National Laboratory, Mathematics and Computer Science Division, Argonne, IL, USA |
| BackLink | https://www.osti.gov/biblio/1237849$$D View this record in Osti.gov https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-179611$$DView record from Swedish Publication Index (Kungliga Tekniska Högskolan) |
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| Cites_doi | 10.1109/TITS.2007.903052 10.1109/ITSC.2000.881102 10.1007/s10288-009-0097-9 10.1109/TVT.2010.2040639 10.1109/TITS.2014.2320133 10.1016/j.trc.2013.01.006 10.1137/0114025 10.1115/DETC2011-47861 10.1109/ITSC.2013.6728395 10.1007/BF01758762 10.1016/j.trb.2013.08.008 |
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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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| 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 https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-179611 |
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