Networks and Spatial Economics

, Volume 8, Issue 2, pp 225–240

A Stochastic Process Approach for Frequency-based Transit Assignment with Strict Capacity Constraints


DOI: 10.1007/s11067-007-9046-3

Cite this article as:
Teklu, F. Netw Spat Econ (2008) 8: 225. doi:10.1007/s11067-007-9046-3


Transit assignment models represent the stochastic nature of waiting times, but usually adopt a deterministic representation route flows and costs. Especially in cities where transit vehicles are small and not operating to timetables, there is a need to represent the variability in flows and costs to enable planners make more informed decisions. Stochastic process (SP) models consider the day-to-day dynamics of the transit demand-supply system, explicitly modelling passengers’ information acquisition and decision processes. A Monte Carlo simulation based SP model that includes strict capacity constraints is presented in this paper. It uses micro-simulation to constrain passenger flows to capacities and obtain realistic cost estimates. Applications of the model and its comparison with the De Cea and Fernandez (Transp Sci, 27:133–147, 1993) model are presented using a small network.


Transit assignment Stochastic process Strict capacity constraints Day-to-day dynamics 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Institute for Transport StudiesUniversity of LeedsLeedsUK

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