Combined Route Choice and Adaptive Traffic Control in a Day-to-day Dynamical System

Lin Xiao () and Hong Lo ()

Networks and Spatial Economics, 2015, vol. 15, issue 3, 697-717

Abstract: We formulate a joint dynamical traffic system that encompasses both route choice and traffic control in which the signal controller interacts with and adapts to the route choices of travelers, and vice versa. Travelers’ route choice dynamics are captured by a recurrence function, which governs the system evolution from day to day. Traffic control also adjusts its plan from day to day in response to the route choices of travelers. We show that this joint dynamical system has a set of fixed points in which both the user equilibrium is achieved and the traffic signal converges to a fixed-time plan. We address equilibrium stability and convergence of this joint dynamical system through analyzing the Jacobian matrix associated with each fixed point. We demonstrate the attraction domains of this joint problem and illustrate their importance and relevance for designing adaptive traffic control through some numerical examples. Copyright Springer Science+Business Media New York 2015

Keywords: Traffic control; Route choice; Traffic assignment; Day-to-day dynamical system (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11067-014-9248-4

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