Document Type : Original Article

**Authors**

Intelligent Transportation System Research Institute, Amirkabir University of Technology, Tehran, Iran

**Abstract**

Considering the stochastic traffic networks one can follow an assignment procedure to estimate flows. However, the interdependent bi-modal assignment problems are solved just for deterministic status. To this gap, this paper extends a traffic assignment problem for an interdependent bi-modal network under Stochastic User Equilibrium (SUE) conditions. To solve this problem, a new algorithm is presented by combining a user equilibrium algorithm namely Streamline algorithm with a Logit model. In our algorithm, the interaction between private and public traffic flows is explicitly modeled and travel time for each mode is considered as a function of two-mode flows. Also, the origin-destination matrix was split between two modes based on the binomial Logit function. Some networks were considered to illustrate the performance and the accuracy of the proposed stochastic user equilibrium algorithm on the interdependent bi-modal networks. Numerical results showed that this algorithm provided reasonable solutions with high accuracy in a small computation time compared with the other user equilibrium (UE) algorithms.

**Keywords**

- Interdependent bi-modal network
- Stochastic user equilibrium
- Streamline algorithm
- Transportation systems
- Traffic optimization

**Main Subjects**

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September 2022

Pages 253-261