First-Best Dynamic Assignment of Commuters with Endogenous Heterogeneities in a Corridor Network

Osawa, Minoru; Fu, Haoran; Akamatsu, Takashi

doi:10.1016/j.trpro.2017.05.018

Cited by 4 publications

(3 citation statements)

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“…Another interesting direction would be to extend the proposed approach to analyze the DTCE problem in a corridor network with multiple bottlenecks (for a specific instance of the corridor problem, see Akamatsu et al, 2015). Although a straightforward formulation of the problem in a corridor network does not reduce to an LP problem, but instead to an LCP, the recent study by Fu et al (2018) reveals that the solution of the DTCE assignment with homogeneous commuters can be analytically constructed from that of the DSO assignment formulated as a structured LP problem. Therefore, it is expected that the solution of the DTCE problem with heterogeneous commuters would also be obtained from an LP problem, which can be analyzed by extending the (u, v)].…”

Section: Discussionmentioning

confidence: 99%

“…The job-location choice modeling in our formulation corresponds to the celebrated Herbert-Stevens model (Herbert and Stevens, 1960;Wheaton, 1974;Berliant and Tabuchi, 2018) in the urban economics literature. Note that it might be considered that the simultaneous equilibrium model of the different time scale choices is unrealistic, even though their interactions are important factors in relation to appropriate long-term policies (see Osawa et al, 2018, for an example). However, as shown in the next subsection, we can convert the problem to a bi-level problem where the upper-level (or long-run) problem is the job-location choice problem and the lower-level (or short-term) problem is the departure time choice problem.…”

Section: Review Of the N-dimensional Optimal Transport Theorymentioning

confidence: 99%

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A new look at departure time choice equilibrium models with heterogeneous users

Akamatsu,

Wada,

Iryo

et al. 2020

Preprint

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This paper presents a systematic approach for analyzing the departure-time choice equilibrium (DTCE) problem of a single bottleneck with heterogeneous commuters. The approach is based on the fact that the DTCE is equivalently represented as a linear programming problem with a special structure, which can be analytically solved by exploiting the theory of optimal transport combined with a decomposition technique. By applying the proposed approach to several types of models with heterogeneous commuters, it is shown that (i) the essential condition for emerging equilibrium "sorting patterns," which have been known in the literature, is that the schedule delay functions have the "Monge property," (ii) the equilibrium problems with the Monge property can be solved analytically, and (iii) the proposed approach can be applied to a more general problem with more than two types of heterogeneities.

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Section: Discussionmentioning

confidence: 99%

Section: Review Of the N-dimensional Optimal Transport Theorymentioning

confidence: 99%

A new look at departure time choice equilibrium models with heterogeneous users

Akamatsu,

Wada,

Iryo

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

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“…1 Fosgerau et al 11) Fosgerau and de Palma 12) ( ) Osawa et al 13 14) , Tseng and Verhoef 15) , Fosgerau and Lindsey 16) , Fosgerau and Small 17) (e.g., Kanemoto 18) ,Wheaton 19) , Anas et al 20) ) ( ) Takayama and Kuwahara 10) Arnott 8) Takayama and Kuwahara 10) ( ) Takayama and Kuwahara 10) Cobb-Douglas ; CBD 4 Gubins and Verhoef 9) " "…”

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