DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT

Abstract

Background. The problem of this work is to develop a methodology for calculating cash throughput, which is based on the well-known formulas for calculating cash throughput, the main innovation of which is to take into account the time spent by trains on acceleration and deceleration en route. Currently, in the process of calculating the available capacity, a formal approach is used to determine the removal coefficients, and the site speed is also taken into account, calculated taking into account acceleration and deceleration, but representing only the ratio of the length of a certain section of the railway polygon to the time of the train following it. Materials and/or methods: simulation modeling, economic and mathematical modeling, AnyLogic software package, methods of general systems theory, logistics. Results. An analytical formula is proposed that allows calculating the available throughput with higher accuracy. The results of the study can be used in the dispatch centers of transportation management of JSC “Russian Railways” in order to more fully analyze the operation of the landfill of the road, railway lines or individual sections in order to more fully analyze the work performed on transportation. Conclusion. The article develops a methodology for calculating the available capacity on a railway line with full consideration of the effect of acceleration and braking of trains on their way to the resulting available capacity.

Keywords

• capacity
• train interval
• non-parallel traffic schedule
• traffic speed
• railway polygon