Model of transportation of trains and shunting locomotives at a railway station for evaluation and analysis of side-collision probability

A mathematical model for solution of the shunting locomotives traffic control problem is proposed for a fixed schedule of passenger/freight trains traffic across a station and a fixed time-table of shunting operations: set off and attaching of cars, output operation and deconsolidation of trains. The model is used for formulation and solution of the problem to minimize time of shunting locomotive transportation across the station to perform next scheduled operation with respect to busy condition of some tracks for transportation owing to presence of passenger/freight trains on them and with respect to restriction on shunting operation execution time. The original statement is reduced to mixed integer linear programming. The presented model was used for evaluation of side-collision probability at a railway station with respect to possible random drag in passenger trains traffic. The results of numerical experiments are presented.