Uchida, K, Sumalee, A, Watling, DP et al. (1 more author) (2005) A study on the stability of the probit-based multi-modal transport assignment model. Journal of the Eastern Asia Society for Transportation Studies, 6. pp. 107-118. ISSN 1881-1124
Abstract
In this study, the properties on perturbation stability of stochastic dynamic processes are provided. The probit based multi-modal transport assignment model considered in this paper can have multiple equilibria because of the asymmetric link disutility functions. An examination on the uniqueness and stability of the multi-modal transport assignment model is carried out by using a simple example. The demand on a single OD pair is assumed to choose between bus and auto depending on their disutility functions. The examination is carried out by assuming the interaction effect of the road congestion caused by autos and buses. As the results, the following three findings are obtained: (i) if the condition on the uniqueness of solution is violated, in general, there are three solutions; (ii) one of three solutions is stable in terms of perturbation stability; and (iii) the trajectory of dynamic system is determined by the domains where each equilibrium dominates.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Assignment; domain of attraction; model; multiple stochastic equilibria; perturbation stability; probit-based; stability; Transport |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Spatial Modelling and Dynamics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Aug 2022 09:43 |
Last Modified: | 03 Aug 2022 09:43 |
Published Version: | http://dx.doi.org/10.11175/easts.6.107 |
Status: | Published |
Publisher: | Eastern Asia Society for Transportation Studies |
Identification Number: | 10.11175/easts.6.107 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:189540 |