Compared with the equilibrium assignment, there are more routes loaded even in a poorly loaded network in the case of the stochastic assignment, because a (small) part of the demand is also assigned to suboptimal routes due to the distribution model. In all cases, this property is closer to reality than the strict application of Wardrop’s first principle.
In addition, stochastic assignment may also include path properties in the impedance definition, which can be calculated from attributes of the network elements used.
