Network throughput under dynamic user equilibrium: Queue spillback, paradox and traffic control

Kentaro Wada, Koki Satsukawa, Mike Smith and Takashi Akamatsu

Transportation Research Part B: Methodological, 2019, vol. 126, issue C, 391-413

Abstract: This study aims to analyze the relationship between a macroscopic fundamental diagram (MFD), which relates vehicle accumulation with throughput at the network level, and the spatial distribution of congestion (congestion pattern) in a general network with one-to-many origin-destination demands. In particular, we clarify the causes of a decreasing branch of MFDs and the influence of local signal controls on the (global) network throughput. For this aim, we present a new inverse problem of the dynamic user equilibrium assignment by using a periodic boundary condition, and an analytical formula of the network throughput for a fixed accumulation is derived by solving it. This enables us to incorporate the effects of network configurations and route choice behaviors into the analysis of the network throughput. By conducting a sensitivity analysis of this formula, we identify the types of congestion patterns that cause the decrease in the network throughput and examine a network signal control for improving network performance.

Keywords: Network throughput; Macroscopic fundamental diagram; Network exit function; Dynamic user equilibrium; Equilibrium paradox; Network signal control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.trb.2018.04.002

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