Algorithm for determining restrictions on train control

Abstract

One of the priority areas for ensuring the stable and profitable operation of railway transport and its development and improvement is the transition to resource-saving technologies. Optimization of train control modes is one of the most important measures to address the currently pressing problem of saving fuel and energy resources for train traction. The purpose of this study is to develop an algorithm for determining restrictions on train control while complying with safety requirements and timetables. This algorithm must allow calculations to be performed quickly and without significant loss of accuracy, and the results of the calculations must meet the criteria of optimality, safety, and compliance with the train schedule. The information base for the development of the algorithm was the existing mathematical and algorithmic methods for solving isoperimetric problems of finding an optimal solution in the presence of resource restrictions. The proposed calculation method consists of using simplified calculations of the state of the train as a controlled system, without using differential equations of motion, which allows solving problems of finding optimal control almost in real-time. The results of these studies were used to create simulators for training train drivers.