Multimodal Urban Transportation Network Capacity Model Considering Intermodal Transportation

Jiankun Zhou, Muqing Du, Anthony Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


Transportation network capacity is an important indicator from measuring the performance of a transportation system. Previous studies on the capacity of multimodal networks have not considered transfers between different transportation modes. In fact, because of the diversified development of the urban transportation system, travelers are no longer limited to a single transportation mode in daily travel. This paper thus proposes an improved network capacity model considering intermodal transportation in urban multimodal transportation systems. The proposed network capacity model is formulated as a bi-level programming problem, in which the lower-level model is a combined modal split and traffic assignment (CMSTA) model. The CMSTA model consists of a cross-nested logit (CNL) in the phase of mode split to account for intermodal transportation and a path-size logit (PSL) in the phase of traffic assignment to account for route overlapping. Also, we consider the flow interaction of different modes (e.g., car and bus) when they share the same links. The Barzilai–Borwein step size method is used to efficiently solve the lower-level CMSTA model (i.e., the CNL-PSL model) of which the objective function is complicated. The numerical results demonstrate the advantages and features of the proposed model. The model is also applied to a real network case to assess the network capacity of the multimodal transportation system.

Original languageEnglish
Pages (from-to)357-373
Number of pages17
JournalTransportation Research Record
Issue number9
Publication statusPublished - Sept 2022


  • equilibrium
  • mathematical modeling
  • network assignment
  • networks
  • planning and analysis
  • transportation network modeling

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering


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