Stochastic traffic assignment of mixed electric vehicle and gasoline vehicle flow with path distance constraints

Wentao Jing, Inhi Kim, Mohsen Ramezani, Zhiyuan Liu

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review

5 Citations (Scopus)


This paper addresses a general stochastic user equilibrium (SUE) traffic assignment problem (TAP) for transport networks with electric vehicles (EV), where EV paths are restricted by the EV driving range limits. A minimization model for path-constrained SUE is first proposed as an extension of path-constrained deterministic user equilibrium (DUE) TAP, which also extends the existing general SUE models with link-based constraints to path-based constraints. The resulting SUE model and solution algorithm can be used for other conditions with similar path-based constraints. The equilibrium conditions reveal that any path cost in the network is the sum of corresponding link costs and a path specific out-of-range penalty term, while path out-of-range term should equal to zero to ensure feasible flows. We develop a modified method of successive averages (MSA) with a predetermined step size sequence where both multinomial logit and multinomial probit based loading procedure are applied to solve the TAP. The suggested methods incorporate K-shortest paths algorithm to generate the path set on a need basis. Finally, two numerical examples are presented to verify the proposed model and solution algorithms. © 2017 The Author(s).
Original languageEnglish
Title of host publicationInternational Symposia of Transport Simulation (ISTS) and the International Workshop on Traffic Data Collection and its Standardization (IWTDCS)
Subtitle of host publication7 - 8 July 2016, Jeju City, South Korea
EditorsSeungjae Lee, Jooyoung Kim
Number of pages14
Publication statusPublished - 2017
EventInternational Symposium of Transport Simulation 2016 - Jeju National University, Jeju, Korea, Republic of (South)
Duration: 23 Jun 201625 Jun 2016

Publication series

NameTransport Research Procedia
PublisherElsevier BV
ISSN (Electronic)2352-1465


OtherInternational Symposium of Transport Simulation 2016
Abbreviated titleISTS
CountryKorea, Republic of (South)


  • Traffic assignment
  • Stochastic user equilibrium
  • Path distance constraints
  • K-shortest path algorithm
  • Multinomial Logit
  • Multinomial probit

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