Propagation of Disturbances in Traffic Flow

Dersin, Pierre; Gershwin, S. B.; Athans, Michael; Massachusetts Institute of Technology

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Propagation of Disturbances in Traffic Flow

1977-09-01
By Dersin, Pierre ; Gershwin, S. B. ; Athans, Michael

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English

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Creators:

Dersin, Pierre ; Gershwin, S. B. ; Athans, Michael

Dersin, Pierre ; Gershwin, S. B. ; Athans, Michael Less -
Corporate Creators:

Massachusetts Institute of Technology
Corporate Contributors:

John A. Volpe National Transportation Systems Center (U.S.) ; United States. Department of Transportation. Office of the Secretary

John A. Volpe National Transportation Systems Center (U.S.) ; United States. Department of Transportation. Office of the Secretary Less -
Subject/TRT Terms:

[+]

Control Crash Investigation Dynamic Programming Forecasting Freeways Incidents Network Analysis (Planning) Network Flows Optimization Perturbations Perturbation Theory Roads Sensitivity Stochastic Processes Traffic Traffic Assignment Traffic Control Traffic Distribution Traffic Flow Traffic Incidents Travel Time
Publication/ Report Number:

DOT-TSC-OST-77-62
Resource Type:

Tech Report
Geographical Coverage:

United States
Corporate Publisher:

United States. Dept. of Transportation. Office of the Secretary
Abstract:

The system-optimized static traffic-assignment problem in a freeway corridor network is the problem of choosing a distribution of vehicles in the network to minimize average travel time. It is of interest to know how sensitive the optimal steady-state traffic distribution is to external changes including accidents and variations in incoming traffic. Such a sensitivity analysis is performed via dynamic programming. The propagation of external perturbations is studied by numerical implementation of the dynamic programming equations. When the network displays a certain regularity and satisfies certain conditions, we prove, using modern control theory and graph theory, that the effects of imposed perturbations which contribute no change in total flow decrease exponentially as distance from the incident site increases. We also characterize the impact of perturbations with nonzero total flow. The results confirm numerical experience and provide bounds for the effects as functions of distance.
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PDF
Funding:

DOT-TSC-849
Collection(s):

Volpe Center
Main Document Checksum:

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urn:sha256:8303a8e9d527e74b1a7ca9087adef351a205a05aa503a1c05011db519ba4bc2b
Download URL:

https://rosap.ntl.bts.gov/view/dot/10735/dot_10735_DS1.pdf
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Propagation of Disturbances in Traffic Flow

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