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Generalized bathtub model of network trip flows

Wen-Long Jin

Transportation Research Part B: Methodological, 2020, vol. 136, issue C, 138-157

Abstract: Vickrey (1991, 2020) proposed a bathtub model for the evolution of trip flows served by privately operated vehicles inside a road network based on three premises: (i) treatment of the road network as a single bathtub; (ii) the speed-density relation at the network level, also known as the network fundamental diagram of vehicular traffic, and (iii) the time-independent negative exponential distribution of trip distances. However, the distributions of trip distances are generally time-dependent in the real world, and Vickrey’s model leads to unreasonable results for other types of trip distance distributions. Thus there is a need to develop a bathtub model with more general trip distance distribution patterns.

Keywords: Vickrey’s bathtub model; Distribution of trip distances; Network fundamental diagram; Integral bathtub model; Numerical methods (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (14)

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DOI: 10.1016/j.trb.2020.04.002

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