Submitted:
30 July 2025
Posted:
31 July 2025
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Abstract
Keywords:
1. Introduction
1.1. The Pervasive Challenge of Traffic Congestion
Rationale for Focusing on Extreme Congestion
Overview of the Report's Structure and Key Themes
2. Defining and Quantifying Extreme Traffic Congestion
General and Academic Definitions of Traffic Congestion
Key Attributes and Indicators of Congestion Severity
Established Classification Systems: Level of Service (LOS A-F) and Advanced Theoretical Perspectives
- Synchronized Flow (S): In this phase, vehicle speeds are lower than in free flow, and the relationship between flow and density becomes weaker and more complex. Congestion patterns within synchronized flow can manifest as Localized Synchronized Flow Patterns (LSP), Widening Synchronized Flow Patterns (WSP), or Moving Synchronized Flow Patterns (MSP).
- Wide Moving Jam (J): This represents a highly severe form of congestion that propagates upstream through highway bottlenecks while maintaining a consistent mean velocity of its downstream front.. Within a wide moving jam, vehicle speeds are significantly reduced, and the flow rate is sharply diminished. These jams do not spontaneously appear in free flow but typically emerge within regions of synchronized flow through an S → J phase transition.15 They are considered stable structures that travel unchanged with a constant velocity along the road (Flynn et al., 2009). A key distinction is that synchronized flow can be "caught" at a bottleneck, whereas wide moving jams will continue to propagate upstream. Kerner's theory moves beyond a simple "congested" label to distinct, measurable physical phenomena, providing a robust foundation for modeling and predicting the onset, propagation, and dissipation of truly extreme congestion events. It highlights that extreme congestion is not a monolithic state but possesses unique dynamic properties that require specific analytical approaches.
| Classification System | Level/Code | General Operating Conditions / Characteristics |
| Level of Service (LOS) (Isarsoft, 2025) | A | Free flow |
| B | Reasonably free flow | |
| C | Stable flow | |
| D | Approaching unstable flow | |
| E | Unstable flow | |
| F | Forced or breakdown flow (Extreme Congestion) | |
| Google Traffic Layer (GTL) (Seong et al., 2023) | Green | Free flow (no traffic delays) |
| Orange | Light congestion / Medium amount of traffic | |
| Red | Traffic delays (Medium congestion) | |
| Dark Red | Heavy traffic congestion | |
| Kerner's Three-Phase Traffic Theory (Wikipedia, 2024) | Free Flow (F) | Vehicles travel at free-flow speeds; stable. |
| Synchronized Flow (S) | Vehicle speeds lower than free flow; complex flow-density relationship; can be localized, widening, or moving. Can be "caught" at bottlenecks. | |
| Wide Moving Jam (J) | Highly severe, propagates upstream through bottlenecks with maintained downstream front velocity; significantly reduced speeds and flow rates. Stable structures that travel unchanged. |
Metrics and Novel Approaches for Quantifying Congestion Intensity, Extent, Duration, and Reliability
- The Travel Time Index (TTI) compares peak period travel time to free-flow travel time, expressed as a ratio. For example, a TTI of 1.20 indicates that a trip taking 20 minutes in off-peak conditions will take 24 minutes in the peak period, signifying a 20 percent longer travel time (Central Transportation Planning Staff, 2014).
- Vehicle Miles Traveled (VMT) and Vehicle Hours Traveled (VHT) are used to evaluate the geographic extent and temporal duration of congestion by measuring congested miles and hours, respectively (Seong et al., 2023).
- The Volume/Capacity (V/C) ratio is calculated by dividing the traffic volume on a roadway by its designed capacity.
- Peak Traffic Period Duration (PTPD) assesses the number of hours daily that experience congested conditions.
- Novel metrics, particularly those utilizing Hägerstrand's space-time cube, have been proposed to synthesize congestion intensity, extent, and duration (Seong et al., 2023):
- distanceTime (τ): Proposed as a base metric, typically in units like mileHours, it is the product of the total distance of congested roads in a temporal snapshot and the duration of the congestion (Seong et al., 2023).
- Weighted Congestion Distance (d_weighted): This metric incorporates varying intensity levels of congestion by assigning weighting values to the congested distance (Seong et al., 2023). For instance, empirical weights (e.g., 0.25 for light, 0.5 for medium, 1.0 for heavy congestion) can be applied based on visual indicators like GTL colors (Seong et al., 2023). The Speed Reduction Index (SRI) is also suggested as a continuous weighting value.
- Normalized Congestion Metrics (τ_normalized): These metrics normalize the congestion amount by the maximum possible congestion in the network, enabling meaningful comparisons across multiple places with significantly different road network distances.
- Congested Time: The average number of minutes drivers experience speeds below a predefined threshold (e.g., 35 mph) during peak periods (Central Transportation Planning Staff, 2014).
- Lane-miles congested: Expressed as a percentage of total lane-miles, this measures the geographic extent of congestion.
- Congested Travel: Quantifies vehicle-miles traveled under congested conditions.
- Average-to-Posted-Speed Ratio (Speed Index): A ratio of average travel speed to the posted speed limit; a ratio of 0.70 or less typically indicates congestion.
- Bottleneck Factor: A composite measure calculated as Minutes of Congestion per Peak-Period Hour divided by Congested Speed, useful for ranking bottleneck severity (Central Transportation Planning Staff, 2014).
- Delay per Mile: Quantifies the extra time required to traverse a given segment or corridor per mile.
- Planning Time Index (PTI): A reliability measure defined as the ratio of the 95th percentile travel time (near-worst-case) to free-flow travel time.
- Buffer Time Index (BTI): Expresses the additional buffer time needed to ensure on-time arrival for 95 percent of trips.
- Congestion Score: A comprehensive measure derived by integrating results from several performance metrics (extent, duration, reliability, intensity) using weighted factors.
- Speed Reduction Index (SRI): Measures the rate of vehicle speed reduction due to congestion.
- Very-low-speed Index (VLSI): The ratio between the time spent traveling at a very slow speed and the total travel time.
| Metric Name | Category | Definition/Formula/Interpretation |
| Travel Time Index (TTI) | Travel time-based | Ratio of peak-period travel time to free-flow travel time (Average Travel Time / Free-Flow Travel Time). A TTI of 1.20 means a trip takes 20% longer in peak periods. |
| Vehicle Miles Traveled (VMT) | Extent-based | Evaluates the extent of congestion by measuring congested miles in peak hours. |
| Vehicle Hours Traveled (VHT) (Seong et al., 2023) | Duration-based | Measures the total hours vehicles spend traveling under congested conditions. |
| Volume/Capacity (V/C) Ratio (Seong et al., 2023) | LOS-based | Calculated by dividing the volume of traffic on a roadway by its capacity. |
| Peak Traffic Period Duration (PTPD) (Seong et al., 2023) | Duration-based | Assesses how many hours daily are congested during peak times. |
| distanceTime (τ) (Seong et al., 2023) | Novel/Composite | Base metric: Product of total distance of congested roads and duration of congestion (d × t), e.g., mileHours. |
| Weighted Congestion Distance (d_weighted) (Seong et al., 2023) | Novel/Composite | Accounts for intensity by assigning weights to congested distance (Σ(w_i * d_i)). Weights can be based on GTL colors or Speed Reduction Index (SRI). |
| Normalized Congestion Metrics (τ_normalized) (Seong et al., 2023) | Novel/Composite | Normalizes congestion amount by maximum possible congestion for inter-city comparison (τ / τ_max) × 100%. |
| Congested Time (Central Transportation Planning Staff, 2014) | Duration-based | Average minutes drivers experience speeds below a threshold (e.g., 35 mph) during peak periods. |
| Lane-miles congested | Extent-based | Percentage of total lane-miles experiencing congestion (e.g., average speed < 35 mph). |
| Congested Travel | Extent-based | Quantifies vehicle-miles traveled under congested conditions (e.g., < 35 mph). |
| Average-to-Posted-Speed Ratio (Speed Index) | Speed-based | Average travel speed divided by posted speed limit. Ratio of 0.70 or less indicates congestion. |
| Bottleneck Factor | Composite | Minutes of Congestion per Peak-Period Hour / Congested Speed. Used to rank bottleneck severity. |
| Delay per Mile | Travel time-based | Extra time needed to traverse a segment per mile ( (ATT - FFTT) / Segment Length ). |
| Planning Time Index (PTI) | Reliability-based | Ratio of 95th percentile travel time to free-flow travel time. Includes typical and unexpected delay. |
| Buffer Time Index (BTI) | Reliability-based | Additional percentage of time needed to be on time for 95% of trips ( (95%TT - ATT) / ATT ). |
| Congestion Score | Composite | Integrates several performance measures with weight factors, higher scores indicate increased intensity. |
| Speed Reduction Index (SRI) | Speed-based | Rate of vehicle speed reduction due to congestion ( (Vf - Va) / Vf ). |
| Very-low-speed Index (VLSI) | Speed-based | Ratio of time traveling at very slow speed to total travel time. |
Common Causes Leading to Extreme Congestion
3. Models for Extreme Congestion
3.1. Fundamental Traffic Flow Theory and Analytical Models
Classical Traffic Flow Theory and Its Limitations in Extreme Conditions
Analytical Models for Understanding Congestion Phenomena (e.g., Phantom Traffic Jams, Jamitons)
3.2. Macroscopic, Microscopic, and Mesoscopic Traffic Flow Models
3.3. Simulation and Data-Driven Approaches
The Role of Traffic Simulation in Analyzing and Predicting Extreme Congestion
Application of Machine Learning and Deep Learning Techniques for Congestion Prediction and Real-Time Management
| Model Type | Core Principle/Level of Detail | Strengths for Analyzing Extreme Congestion | Limitations/Challenges | Example Models/Software |
| Macroscopic | Aggregate traffic flow (volume, speed, density); treats traffic as a continuum. | Efficient for large-scale networks; understanding overall behavior; strategic planning & policy analysis. | Fails to capture localized, complex extreme congestion phenomena; one-dimensional descriptions may be inadequate. | LWR model, Payne-Whitham model, PTV Visum, Emme |
| Microscopic | Individual vehicles and their interactions (position, velocity, headway); incorporates driver behavior. | Replicates complex traffic phenomena (e.g., shockwaves); operational analysis within mixed traffic; detailed understanding of congestion formation. | Computationally intensive and slower for large networks; requires detailed data. | Car-following models, Cellular automata models, Psycho-physical models, PTV Vissim, Aimsun, Paramics |
| Mesoscopic | Intermediate detail; individual agents whose behavior is derived from aggregated attributes; interactions at nodes. | Bridges gap between macro/micro; suitable for traffic signal control optimization; improved prediction of congestion/incidents; real-time estimation of state variables. | Requires more detail than macroscopic, less than microscopic; direct agent-to-agent reactions typically limited to nodes. | PTV Vissim (hybrid simulation) |
| Analytical | Mathematical equations to describe fundamental traffic phenomena; often deterministic and simplified. | Provides theoretical understanding of congestion phenomena (e.g., phantom jams, jamitons, metastable states); explains underlying mechanisms. | Often relies on simplified assumptions; may not capture real-world complexities and human behavior fully; limited applicability for real-time management. | Bottleneck model, Payne-Whitham type models |
| Simulation | Virtual representation of networks to test scenarios and predict patterns. | Safe and cost-effective for evaluating different scenarios; identifies bottlenecks; anticipates effects of planned measures; crucial given data scarcity for AVs. | Requires significant input data; model calibration can be complex; results are as good as the underlying model. | PTV Visum, PTV Vissim, Aimsun, Paramics |
| AI/ML/DL | Data-driven algorithms to forecast traffic patterns and optimize management. | Handles complex, changing conditions; improves prediction reliability; enables real-time adaptive control (e.g., signal timing, rerouting). | Risk of overfitting; high computational demands; dependent on data quality and availability; complexity of real-world traffic. | RNN, LSTM, YOLO V5 |
4. Extreme Congestion in the Incoming Autonomous Vehicles Era
4.1. Anticipated Impacts of Autonomous Vehicles (AVs) on Traffic Flow
Potential Benefits
Potential Challenges
The Significance of AV Penetration Rates on Overall Traffic Efficiency and Congestion Levels
4.2. Strategies for Managing Extreme Congestion with AVs
Advanced Traffic Management Systems Leveraging AV Capabilities
Infrastructure Integration and V2X Communication for Optimized Traffic Flow
Policy and Planning Interventions
4.3. Future Outlook and Research Challenges
Uncertainties, Data Limitations, and Ongoing Research Needs
Need for Holistic Approaches
Balancing Benefits and Risks
5. Conclusion
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