Development of the mathematical model of cargo transportation control on a railway network segment taking into account random factors

A mathematical model for the assignment of locomotives for the transport of freight trains is proposed. In the model, the purpose of optimization is to minimize the number of locomotives involved in transportation of trains due to the choice of routes for trains and locomotives. A deterministic algorithm for obtaining a suboptimal solution is given as well as an algorithm that implements the operational planning scheme. It is proposed to use a random parameter that simulates the delay in the readiness of a train for departure. The numerical experiment was performed in conditions of incomplete information using the data of the Moscow Railway. The results obtained in deterministic and stochastic statements are compared.