Stochastic user equilibrium assignment in schedule-based transit networks with capacity constraints
type: Item
instance of: scholarly article
title: Stochastic user equilibrium assignment in schedule-based transit networks with capacity constraints
zbMATH Open document ID: 1248.90053
DOI: 10.1155/2012/910754
author: Wangtu Xu
author: Lixin Miao
author: Wei-Hua Lin
published in: Discrete Dynamics in Nature and Society
publication date: 2012-10-19T00:00:00Z
review text: Summary: We propose a stochastic user equilibrium (SUE) assignment model for a schedule-based transit network with capacity constraint. We consider a situation in which passengers do not have the full knowledge about the condition of the network and select paths that minimize a generalized cost function encompassing five components: (1) ride time, which is composed of in-vehicle and waiting times, (2) overload delay, (3) fare, (4) transfer constraints, and (5) departure time difference. We split passenger demands among connections which are the space-time paths between OD pairs of the network. All transit vehicles have a fixed capacity and operate according to some preset timetables. When the capacity constraint of the transit line segment is reached, we show that the Lagrange multipliers of the mathematical programming problem are equivalent to the equilibrium passenger overload delay in the congested transit network. The proposed model can simultaneously predict how passengers choose their transit vehicles to minimize their travel costs and estimate the associated costs in a schedule-based congested transit network. A numerical example is used to illustrate the performance of the proposed model.
Mathematics Subject Classification ID: 90B35
Mathematics Subject Classification ID: 90B80
Mathematics Subject Classification ID: 90B06
zbMATH DE Number: 6096251
zbMATH Keywords: stochastic user equilibrium assignment model
zbMATH Keywords: schedule-based transit network
Wikidata QID: Q58700847
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/910754
OpenAlex ID: W2034797319
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description: scientific article; zbMATH DE number 6096251