IMPROVEMENT OF THE PROCEDURE FOR SEARCHING RATIONAL TIME RESERVES FOR RECOVERY OF TRAIN MOVEMENT OF DIFFERENT CATEGORIES

This article improves the procedure for finding rational time reserves for theresumption of trains of different categories depending on the number of detained trains on the basisof the epidemiological SIR-model. A modified epidemiological SIR-model has been implemented forthe experimental railway line, which allows to take into account the interaction of trains of differentpriorities in the train schedule and the possibility of resumption of delayed trains due to the set timereserve. The adjustment of the delay rate transfer coefficients on the real data of train delays at theline has been performed. The solution of the system of differential equations of the SIR-model isproposed to be performed by the numerical Runge-Kutta method of the 4th order. Experimentalstudies of the impact of passenger train delays on the reliability of the regulatory schedule havebeen conducted. Experimental studies of the impact of passenger train delays on the reliability ofthe regulatory schedule have been conducted. The dependences of the number of detained trains ofdifferent categories on the change in the amount of time reserve for the resumption of trains ofdifferent categories are obtained. Rational time reserves for passenger, suburban and freight trainshave been established. These results were expertly assessed and confirm the adequacy of theobtained decisions in the practice of developing a regulatory schedule of trains at JSCUkrzaliznytsia. The application of the proposed approach will automate the complex process offinding rational values of compensation time in the threads of trains of different categories on therailway line and, as a consequence, increase the level of reliability of the regulatory train schedule.