Stability analysis of a multi-phase car-following model
Ronghui Liu and
Xiang Li
Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 11, 2660-2671
Abstract:
This paper presents a numerical stability analysis of a multi-phase car-following model under mild to severe disturbances. The results show that local stability was always conformed. An asymptotically unstable region was found for traffic in congested states. One of the previously calibrated boundary conditions for close-following situations was found to be in conflict with the stable condition required by the car-following model, which had attributed to speed oscillations during transition of the traffic from a non-congested to a congested state. Suggestions were made to the choice of model parameter values to meet the stability conditions and ways to improve the model.
Keywords: Traffic flow models; Multi-phase car-following theory; Stability analysis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:11:p:2660-2671
DOI: 10.1016/j.physa.2013.02.001
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