a new adaptive, multi-scale traffic simulation

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A new adaptive, multiscale traffic simulation Michael Mahut | [email protected] Michael Florian, Daniel Florian AITPM, July 26-29 Sydney, Australia

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A new adaptive, multiscale traffic simulation

Michael Mahut | [email protected]

Michael Florian, Daniel Florian

AITPM, July 26-29 – Sydney, Australia

Motivation

Current Trends

• Larger-scale traffic simulation models are becoming

increasing popular

Meso and micro simulation-based dynamic traffic assignment

Metropolitan to regional scale

• Motivated by need for higher realism/fidelity

Temporal dynamics/resolution

More detailed network models

• Facilitates modeling of complex mechanisms

Departure time choice

Real-time pricing, e.g. congestion-based tolls

Freeway management, traveller response to information, etc…

Challenges

• Well specified scenarios:

Algorithms are very good at finding stable, converged solutions

Existence and uniqueness of solution are observed empirically

• Unbalanced network demand and supply:

Models become unstable: nonlinear response of network delay

to demand

Gridlock conditions

O-D impedances: no longer respond to demand changes

Non-convergent, unusable solutions

• Conclusion: algorithms are not sufficiently robust

Example: highly congested scenario

High demand scenario

Why don’t we see this effect in static models?

• In a static model (vdf)

Path travel time = function of link (+turn) v/c ratios on the path

• In a simulation model

Path travel time is affected by bottlenecks that are not on the

path

This is due to congestion spillback

• We will refer to delay from bottlenecks off the path as

secondary or indirect delay

This is the component of delay which grows in a highly

nonlinear way when demand >> supply

A new approach - adaptive simulation

• Adaptive driver response to extreme congestion

Gradual formation of emergent lanes utilizes spare turn

capacity

• Adaptation is triggered by a delay threshold

Exogenous parameter, can be calibrated

• Impact on delay propagation

Delay in emergent lanes is not propagated upstream

+ 5 min

Additional properties

• Adaptive mechanism reduces secondary delay only

Does not affect primary delay

• Bottleneck (turn) capacities are easily respected

Extremely low flows can increase to become very low flows

• No vehicles removed from the simulation

• No vehicles lose their paths

Outputs

• Length of individual emergent queues (in vehicles)

• Delay in individual emergent queues

Example 1: High Demand

No adaptation With adaptation

Impact of adaptive mechanism on model convergence

Example 1: High Demand

Length of emergent queues aggregated to nodes

Emergent queues through model iterations

5 iterations 10 iterations 20 iterations

Example 2: Very High Demand

No adaptation With adaptation

Impact of adaptive mechanism on model convergence

Example 2: Very High Demand

Length of emergent queues aggregated to nodes

Conclusions

• Fast models are not enough, we need

more stable models

• We propose an adaptive simulation

approach which responds to extreme

congestion

Can be tailored to the degree of

congestion inherent in the scenario

Ensures model stability even when

demand significantly exceeds supply

Addresses scalability for larger

networks in congested conditions

Provides a single traffic model at a

consistent level of detail over the entire

network

A new adaptive, multiscale traffic simulation

Michael Mahut | [email protected]

Michael Florian, Daniel Florian

AITPM, July 26-29 – Sydney, Australia