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Tradable credit scheme, as one of traffic demand management instruments, outperforms congestion pricing in terms of social equity and revenue neutrality, and thus receives more and more attentions nowadays. This paper investigates tradable credit schemes for managing network mobility with stochastic user equilibrium (SUE) theory, which is still a literature void to date. In this paper, the logit-based SUE and credit market equilibrium (ME) conditions are firstly presented, and meanwhile an equivalent minimizing model is established. Then the sensitivity analysis of the perturbed SUE problem with tradable credit schemes is explored, and the analytical expressions of gradients of perturbed equilibrium flows and credit price are also provided. In the following section, a bi-level model of the optimal tradable credit scheme design problem is established and solved based on the previous work in this paper, with the objective function in the upper-level model being maximizing network reserved capacity. The heuristic SAB algorithm is adopted to solve the bi-level model. Finally, two numerical examples are used to illustrate the proposed models and methods.
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