Dynamic Continuum Model with Elastic Demand for a Polycentric Urban City

Abstract

This paper presents the development of a macroscopic dynamic traffic assignment (DTA) model for continuum transportation systems with elastic demand. A reactive dynamic user equilibrium model is extended to simulate network equilibrium problems for an urban area with multiple central business districts (CBDs). Each copy of traffic flow makes route choice decisions in a reactive manner to minimize the total travel cost from origin to destination, based on instantaneous traffic information from a radio broadcasting service or route guidance system. The elastic demand function for each copy of flow is associated with its total instantaneous travel cost. The model is solved by a cell-centered finite volume method for conservation law equations and a fast sweeping method for Eikonal-type equations on unstructured grids. Numerical experiments for an urban traffic network with two CBDs are presented to verify the rationality of the model and the validity of the numerical method. The numerical results indicate that the model captures some macroscopic characteristics of two copies of flow interacting in time-varying urban transportation systems, e.g., the spatial distributions of the flow density and flux and the path choice behavior in response to elastic demand, and can describe traffic equilibrium phenomena, such as self-organization and traffic congestion build-up and dissipation.

Multi-Objective Virtual Power Plant Construction Model Based on Decision Area Division

“…The main basis for determining the decision area of VPP is: regional load density, power consumption levels, administrative ranks, economic levels and user importance [26]. Then, we can choose whether to formulate appropriate service agreements for each area and participate in the construction of VPP.…”

A predictive continuum dynamic user-optimal model for a polycentric urban city

“…To start the self-adaptive MSA, the first iteration should be given because we have no information on the actual total cost at the initial time. We compute the density from 0 to t end by solving the following reactive dynamic user-optimal model (Jiang et al 2014(Jiang et al , 2009Huang et al 2009):…”

“…Huang et al (2009) showed that the route choice strategy in Hughes' model satisfies the reactive dynamic user-optimal principle and provided a numerical solution procedure. Jiang et al (2014) developed a model for the reactive continuum dynamic user-optimal problem with elastic demand for a polycentric urban city. A numerical scheme based on unstructured (triangular) meshes is given to solve the model.…”

A dynamic taxi traffic assignment model: A two-level continuum transportation system approach

“…As the temporal variation of flow and cost are not considered in the static models, they cannot be used to model travelers' departure/arrival time choices or dynamic traffic management and control. DTA can address these problems and has received much attention in recent decades (e.g., Merchant and Nemhauser, 1978a,b;Friesz et al, 1989;Ran et al, 1993;Lo and Szeto, 2002;Long et al, 2013;Du et al, 2013Du et al, , 2015Jiang et al, 2017). Different from the fast development of TAP models, the development of taxi traffic assignment models is still in its early stage.…”

“…In the literature, there are two approaches to modeling TAPs: discrete (e.g., Friesz et al, 1993;Huang and Lam, 2002;Lo and Szeto, 2002;Lim and Heydecker, 2005;Long et al, 2013Long et al, , 2015Long et al, , 2016Jiang et al, 2016) and continuum (e.g., Hoogendoorn and Bovy, 2004;Jiang et al, 2011Jiang et al, , 2017Du et al, 2013Du et al, , 2015. The discrete modeling approach assumes that road links are separated but connected by nodes, and traffic demands are concentrated at hypothetical zone centroids.…”