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

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

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.

Suggested Citation

  • Ma, Rui & Ban, Xuegang (Jeff) & Pang, Jong-Shi, 2014. "Continuous-time dynamic system optimum for single-destination traffic networks with queue spillbacks," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 98-122.
    • Handle: RePEc:eee:transb:v:68:y:2014:i:c:p:98-122
    DOI: 10.1016/j.trb.2014.06.003
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    References listed on IDEAS

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    15. Rui Ma & Xuegang (Jeff) Ban & Jong-Shi Pang, 2018. "A Link-Based Differential Complementarity System Formulation for Continuous-Time Dynamic User Equilibria with Queue Spillbacks," Transportation Science, INFORMS, vol. 52(3), pages 564-592, June.
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