Multistage Transportation Model and Sufficient Conditions for Its Potentiality

Multistage modeling of traffic flows began to actively develop in the 1970s. Transport modeling packages were created, which are based on a set of convex optimization problems, the sequential solution of which (with appropriate feedback mechanisms) converges to the desired equilibrium distribution. An alternative way is to try to find a general convex optimization problem, the solution of which will give the desired equilibrium. The current paper attempts to find sufficient conditions to guarantee that the alternative path will be successful. In particular, the article shows that one of the blocks of a multistage model can use a stable dynamics model (rather than the generally accepted Beckmann model), combined with the possibility to choose different types of users and vehicles.