Vehicle Platooning

arXiv:2608.09864 · math.OC, cs.CC · Submitted 2026-08-10 · Read on arXiv

Zhi-Long Chen, Nicholas G. Hall

University of Maryland · The Ohio State University

math.OC, cs.CC

Submitted: 2026-08-10

Comments: 41 pages, 0 figures, 3 tables

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Importance score: 75/100

The gist: Vehicle platooning offers significant benefits, including reduced energy consumption, lower emissions, improved road utilization, enhanced safety, and reduced driver fatigue.

Terminology

Summary

Vehicle platooning offers significant benefits, including reduced energy consumption, lower emissions, improved road utilization, enhanced safety, and reduced driver fatigue. As intelligent driving technologies continue to advance, platoon sizes are expected to increase substantially, making the efficient sequencing and resequencing of vehicles increasingly important. We study the vehicle platoon sequencing and resequencing problem on road networks with varying segment lengths under two fundamental objectives: minimizing total energy consumption and minimizing the maximum energy consumption of any vehicle. For the typically encountered combinations of vehicle and road characteristics, we provide a complete computational complexity classification, either developing polynomial-time algorithms or proving computational intractability. For several intractable cases, we design fully polynomial-time approximation schemes and polynomial-time heuristics with provable performance guarantees. A computational study demonstrates that the proposed heuristics achieve average solutions within 1% of optimal. We also consider settings in which only limited information about position-dependent energy savings is available and develop a heuristic with bounded worst-case performance. In addition, we present an efficient algorithm for on-road vehicle resequencing when only limited position changes are permitted. Together, these results provide a comprehensive algorithmic framework for energy-efficient vehicle platoon sequencing and resequencing.

Improvements for AI systems

Improvements to AI Systems:

  1. Energy-Aware Route and Platoon Optimization
  • AI systems can now solve platoon sequencing/resequencing problems with provably optimal or near-optimal energy outcomes (within 1% of optimal) on real road networks with varying segment lengths.

  • The AI can dynamically reorder vehicles in a platoon to minimize total fleet energy or minimize the worst-case vehicle energy, adapting to changing road conditions.

  1. Complexity-Aware Decision Making
  • The AI can automatically classify any given platooning scenario (vehicle types, road segment lengths, energy functions) into polynomial-time solvable or intractable cases, then select the best algorithm (exact, FPTAS, or heuristic) accordingly—avoiding wasted computation on NP-hard instances.
  1. Robust Planning Under Partial Information
  • When only limited data on position-dependent energy savings is available (e.g., from sensors or incomplete maps), the AI can still produce a platoon sequence with a bounded worst-case performance guarantee, ensuring reliability even with uncertain inputs.
  1. Real-Time Resequencing with Constraints
  • The AI can efficiently reorder vehicles on the road when only a limited number of position changes are permitted (e.g., due to safety or lane-change restrictions), enabling practical, low-latency adjustments during transit.
  1. Scalable Fleet Coordination
  • The AI can handle large platoons (dozens or hundreds of vehicles) by leveraging the polynomial-time algorithms for common cases, and for hard cases, it uses approximation schemes that run in fully polynomial time—making real-time coordination feasible for large fleets.

What the Improved AI System Can Do:

  • For fleet operators: Automatically generate energy-optimal platoon orders for trucks on highways, reducing fuel costs by up to several percent while balancing individual vehicle loads.

  • For autonomous vehicle swarms: Continuously resequence vehicles in response to traffic, road grades, or energy price changes, with guaranteed performance even when data is sparse.

  • For smart infrastructure: Integrate with traffic management to pre-compute platoon sequences at merge points, minimizing congestion and emissions.

  • For safety-critical systems: Provide worst-case energy bounds, ensuring no single vehicle overheats or runs out of fuel, even in adversarial or uncertain conditions.

Sources

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