Continuous-time dynamic system optimum for single-destination traffic networks with queue spillbacks

Rui Ma, Ban, Xuegang (Jeff) and Jong-Shi Pang

Transportation Research Part B: Methodological, 2014, vol. 68, issue C, 98-122

Abstract: Dynamic system optimum (DSO) is a special case of the general dynamic traffic assignment (DTA). It predicts the optimal traffic states of a network under time-dependent traffic conditions from the perspective of the entire system. An optimal control framework is proposed in this paper for the continuous-time DSO problem for single-destination traffic networks. Departure time choice is part of this DSO model. Double-queue model is applied to capture the impact of downstream congestion and possible queue spillbacks. Feasibility conditions and model properties are discussed. A constructive procedure to compute a free-flow DSO solution is also proposed. A discretization method is described to the continuous-time systems and numerical results on two test networks are shown.

Keywords: Dynamic system optimum; Optimal control; Double-queue model; Queue spillbacks; Free flow; Operational network capacity (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (21)

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DOI: 10.1016/j.trb.2014.06.003

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