Title: A Physarum-inspired model for the probit-based stochastic user equilibrium problem,
Abstract: Stochastic user equilibrium is an important issue in the traffic assignment
problems, tradition models for the stochastic user equilibrium problem are
designed as mathematical programming problems. In this article, a
Physarum-inspired model for the probit-based stochastic user equilibrium
problem is proposed. There are two main contributions of our work. On the one
hand, the origin Physarum model is modified to find the shortest path in
traffic direction networks with the properties of two-way traffic
characteristic. On the other hand, the modified Physarum-inspired model could
get the equilibrium flows when traveller's perceived transportation cost
complies with normal distribution. The proposed method is constituted with a
two-step procedure. First, the modified Physarum model is applied to get the
auxiliary flows. Second, the auxiliary flows are averaged to obtain the
equilibrium flows. Numerical examples are conducted to illustrate the
performance of the proposed method, which is compared with the Method of
Successive Average method.