On the distribution schemes for determining flows through a merge

Jin, Wen-Long; Zhang, H.M.

doi:10.1016/s0191-2615(02)00026-7

Cited by 136 publications

(81 citation statements)

References 15 publications

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“…All of these models violate the invariance principle (Lebacque and Khoshyaran, 2005) and are hence incompatible with both the GNM and the INM. This applies to the models of Buisson et al (1995); ; Buisson, Lebacque, Lesort and Mongeot (1996), Rubio-Ardanaz et al (2001), Jin and Zhang (2003), Jin and Zhang (2004), Bliemer (2007), Yperman et al (2007), van Hinsbergen et al (2008), Nie et al (2008), and Kurzhanskiy and Varaiya (2010).…”

Section: Instances Of the Incremental Node Modelmentioning

confidence: 94%

Operational macroscopic modeling of complex urban road intersections

Flötteröd

Rohde

2011

Transportation Research Part B: Methodological

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This article describes a new approach to the macroscopic first order modeling and simulation of traffic flow in complex urban road intersections. The framework is theoretically sound, operational, and comprises a large body of models presented so far in the literature.Working within the generic node model class of Tampere et al. (forthcoming), the approach is developed in two steps. First, building on the incremental transfer principle of Daganzo et al. (1997), an incremental node model for general road intersections is developed. A limitation of this model (as of the original incremental transfer principle) is that it does not capture situations where the increase of one flow decreases another flow, e.g., due to conflicts. In a second step, the new model is therefore supplemented with the capability to describe such situations. A fixed-point formulation of the enhanced model is given, solution existence and uniqueness are investigated, and two solution algorithms are developed. The feasibility and realism of the new approach is demonstrated through both a synthetic and a real case study.

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Section: Instances Of the Incremental Node Modelmentioning

confidence: 94%

Operational macroscopic modeling of complex urban road intersections

Flötteröd

Rohde

2011

Transportation Research Part B: Methodological

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“…This allows control strategies to be incorporated as needs arise. A simplified distribution scheme is proposed by Jin and Zhang (2003), in which flows are assumed to be proportional to demands whenever supplies are not adequate, i.e.…”

Section: Node Modelsmentioning

confidence: 99%

Modelling network flow with and without link interactions: the cases of point queue, spatial queue and cell transmission model

Zhang

Nie

Qian

2013

Transportmetrica B: Transport Dynamics

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This paper studies dynamic network models in which congestion takes the form of queuing behind bottlenecks. The three models in consideration, the point queue (P-Q) model, the spatial queue (S-Q) model and the cell transmission model, all deal with queues caused by temporal bottlenecks, yet differ with each other in describing the S-Q characteristics. Our work focuses on exploring the impacts of spatial distribution of queues on the result of dynamic network loading (DNL). For this purpose, simple node models (merge and diverge) are introduced to describe flow interactions across links. We present a numerical solution algorithm to the DNL problem which accommodates the three models in a general framework. Analytical solutions are derived for simple cases and agree with numerical results. Our limited experiments indicate that P-Q and S-Q may severely underestimate network travel costs under DNL, particularly when queue spillback prevails.

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“…Constraint (2.8) thus singles out a unique way to allocate the downstream supply to the upcoming roads. This choice is alternative to various other constructions, see for instance [45] and the references therein in the applied mathematics literature, or [27,29] (which are referred to the LWR model) and [24] in the transport engineering literature. For a related approach to a merging problem with a special consideration of the capacity drop phenomenon, we refer to [23].…”

Section: Roads Mergingmentioning

confidence: 99%

On the modelling and management of traffic

Colombo¹,

Goatin²,

Rosini³

2011

ESAIM: M2AN

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Abstract. Several realistic situations in vehicular traffic that give rise to queues can be modeled through conservation laws with boundary and unilateral constraints on the flux. This paper provides a rigorous analytical framework for these descriptions, comprising stability with respect to the initial data, to the boundary inflow and to the constraint. We present a framework to rigorously state optimal management problems and prove the existence of the corresponding optimal controls. Specific cases are dealt with in detail through ad hoc numerical integrations. These are here obtained implementing the wave front tracking algorithm, which appears to be very precise in computing, for instance, the exit times.Mathematics Subject Classification. 35L65, 90B20.

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On the distribution schemes for determining flows through a merge

Cited by 136 publications

References 15 publications

Operational macroscopic modeling of complex urban road intersections

Operational macroscopic modeling of complex urban road intersections

Modelling network flow with and without link interactions: the cases of point queue, spatial queue and cell transmission model

On the modelling and management of traffic

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