A Basic Study on a Flow Distribution in an Urban Area

Ohtsu, Shou; Koshizuka, Takeshi

doi:10.11361/journalcpij.33.319

Cited by 2 publications

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“…The traffic flow density has a maximum at the city center, suggesting that much traffic passes the city center even though origins and destinations are uniformly distributed. This property is also found in the Euclidean distance case (Ohtsu and Koshizuka, 1998).…”

Section: Traffic Flow Density Without Barriersupporting

confidence: 67%

“…The concept of traffic flow density was introduced by Smeed (1963) and Holroyd (1968) to describe traffic flow as a function of position. The spatial distribution of traffic flow has been derived for a circular city with the Euclidean distance (Ohtsu and Koshizuka, 1998), a circular city with a grid network (Vaughan and Doyle, 1979), and a square city with a grid network and a circular city with a radial-arc network (Vaughan, 1987). These distributions have been extended by Tanaka and Kurita (2001) to a sector-shaped city, Tanaka and Kurita (2003a,b) to incorporate the time variation of traffic flow, and Suzuki and Miura (2016) to generalize the routing system.…”

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Spatial Distribution of Traffic Flow in a Rectangular City with a Grid Network and a Rectangular Barrier

Miyagawa

2022

FORMA

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This paper develops a continuous approximation model for analyzing the spatial distribution of traffic flow in the presence of a barrier to travel. The traffic flow density is derived for a rectangular city with a grid road network and a rectangular barrier. The traffic flow density describes traffic flow as a function of position and provides a fundamental understanding of the effect of the barrier. The analytical expression for the traffic flow density demonstrates how the location and shape of the barrier affect the spatial distribution of traffic flow. The effect of the shape of the city is also examined. The model is useful for transportation and logistics problems with barriers.

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Section: Traffic Flow Density Without Barriersupporting

confidence: 67%

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confidence: 99%

Spatial Distribution of Traffic Flow in a Rectangular City with a Grid Network and a Rectangular Barrier

Miyagawa

2022

FORMA

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Effect of road pricing on the spatial distribution of traffic flow in a grid network

Miyagawa

2024

Japan J. Indust. Appl. Math.

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This paper develops a continuous approximation model for analyzing the effect of road pricing on the spatial distribution of traffic flow. The traffic flow density, which describes traffic flow as a function of position, is derived for a rectangular city with a grid network. The analytical expression for the traffic flow density demonstrates how the toll level, the size and shape of the toll area, and the shape of the city affect the spatial distribution of traffic flow. As the size of the toll area increases, reducing the traffic flow density at the city center becomes difficult. As the aspect ratio of the toll area increases, the traffic flow density at the city center increases. The shape of the city has less impact on the traffic flow density than the shape of the toll area.

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A Basic Study on a Flow Distribution in an Urban Area

Cited by 2 publications

References 0 publications

Spatial Distribution of Traffic Flow in a Rectangular City with a Grid Network and a Rectangular Barrier

Spatial Distribution of Traffic Flow in a Rectangular City with a Grid Network and a Rectangular Barrier

Effect of road pricing on the spatial distribution of traffic flow in a grid network

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