Traffic Engineering Perspective
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1 Emergent Pedestrian Flow Behavior Symposium Vluchten bij Brand 25/10/10, Prof. dr. S.P. Hoogendoorn Delft University of Technology Challenge the Future Traffic Engineering Perspective Assess operations of transfer stations, buildings, public areas in terms of efficiency, comfort and safety under a variety of conditions Need for theory and models that reproduce or predict main flow characteristics Symposium Vluchten bij Brand 2 23
2 Talk contribution Show recent findings regarding main flow characteristics: Capacity and key factors Flow states and fundamental diagram Network fundamental diagram Present underlying mechanisms Discuss resulting model requirements Symposium Vluchten bij Brand 3 23 Back-of-envelope calculations... Consider a room with n pedestrians Exit of the room has capacity C Average free walking time to exit = T0 Average evacuation time (excluding free walking time): T evac! T 0 + n C How large is the capacity? What are its determining factors? Symposium Vluchten bij Brand 4 23
3 Measuring capacity Questions raised about capacity values in building regulations Door capacity = 135 P/min/m Value for corridors (1 m) = 73 P/min/m Dedicated experiments TU Delft shows: Reference values Influence of flow composition, effect door, stress, etc. Symposium Vluchten bij Brand 5 23 Example experiments... Variety of experiments with different groups, under different conditions (opening width, ambient condition, presence of door) Symposium Vluchten bij Brand 6 23
4 Capacity determining factors For each scenario, opening capacity was determined Impact factors determined using Multivariate Linear Regression C = ! P C " 0.21! P E " 2.13! P D "0.01! Stress " 0.12! Width " 0.18! Door ! Light Strong impact of flow composition Some influence of presence of door, width of door, and ambient conditions Minor inflow of stress level (?!?) Symposium Vluchten bij Brand 7 23 Faster is slower effect Impact of haste / time pressure has severe impacts on capacity Symposium Vluchten bij Brand 8 23
5 Desired speed and escape features Example shows impact of desired speed expressing haste (anxiety to get out of the room) Symposium Vluchten bij Brand 9 23 Desired speed and escape features Increasing desired speed leads to increase of time needed to leave and decrease in capacity Symposium Vluchten bij Brand 10 23
6 DIY pedestrian experiment Symposium Vluchten bij Brand The Frans Bauer effect... Capacity is strongly influence by behavior... Symposium Vluchten bij Brand 12 23
7 Capacity of bi-directional flows Relatively small reduction due to bi-directionality Symposium Vluchten bij Brand Self-organization Efficiency is caused by self-organization of lanes Difference between bi-directional flow and unidirectional flow is very small Fundamental diagrams for both flow types!! Symposium Vluchten bij Brand 14 23
8 Self-organization Efficiency is caused by self-organization of lanes Self-organization has chaos-like properties Number of lanes has small impact on efficiency Symposium Vluchten bij Brand Self-organization Efficiency is caused by self-organization of lanes But for very high densities, lane formation process breaks down and grid-lock / congestion occurs (phase transition) Symposium Vluchten bij Brand 16 23
9 Stop-go waves and turbulence Discovery of new traffic states in high-density flows Symposium Vluchten bij Brand Stop-go waves and turbulence Discovery of new traffic states in high-density flows Not only in Mecca (dance parade in Duisburg) Symposium Vluchten bij Brand 18 23
10 Network Fundamental Diagram Relation between production P and accumulation N Symposium Vluchten bij Brand Traffic & crowd management Some implications for crowd (and traffic) planning & management: Need to keep accumulation below critical accumulation e.g. using perimeter control Avoid intersecting flows as much as possible, in particular in highdensity areas Reduce self-blockage effect (internal bottlenecks) e.g. by buffering traffic upstream of intersections Symposium Vluchten bij Brand 20 23
11 Implications for crowd management Symposium Vluchten bij Brand Implications for modeling Applicability of models determined by extent in which fundamental flow characteristics can be replicated or predicted Static Dynamic Capacity incl. influencing factors Fundamental diagram Network fundamental diagram Self-organization Phase-transitions, start-stop waves, turbulence Capacity drop, spill-back and blockage Symposium Vluchten bij Brand 22 23
12 Discussion Many models (socialforces, NOMAD) are able to describe key flow characteristics sufficiently Models are not able to describe walker behavior at the microscopic level Implications for applicability of these models? Symposium Vluchten bij Brand 23 23
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