Analysis of a Stochastic Switching Model of Freeway Traffic Incidents
Name
1601.00204.pdf
Description
Submitted version
Size
1.07 MB
Format
Adobe PDF
Checksum (MD5)
3f43788b56c4afb6c78b43de739cbbed
Author(s)
Jin, Li
Amin, Saurabh
Date Issued
April 2019
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Jin, Li and Saurabh Amin. “Analysis of a Stochastic Switching Model of Freeway Traffic Incidents.” IEEE Transactions on Automatic Control 64 (2019): 1093-1108.
Version
Original manuscript
Abstract
This paper introduces a model for freeway traffic dynamics under stochastic capacity-reducing incidents, and provides insights for freeway incident management by analyzing long-time (stability) properties of the proposed model. Incidents on a multicell freeway are modeled by reduction in capacity at the affected freeway sections, which occur and clear according to a Markov chain. We develop conditions under which the traffic queue induced by stochastic incidents is bounded. A necessary condition is that the demand must not exceed the time-average capacity adjusted for spillback. A sufficient condition, in the form of a set of bilinear inequalities, is also established by constructing a Lyapunov function and applying the classical Foster-Lyapunov drift condition. Both conditions can be easily verified for realistic instances of the stochastic incident model. Our analysis relies on the construction of a globally attracting invariant set, and exploits the properties of the traffic flow dynamics. We use our results to analyze the impact of stochastic capacity fluctuation (frequency, intensity, and spatial correlation) on the throughput of a freeway segment.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/TAC.2018.2822872
