Analysis of Methods for Solving Optimal Control Problems Train Movements

Abstract

Optimal train management has been an active research topic for many years. All over the world, important measures are being taken to use electricity efficiently due to the growing demand for energy resources. Such measures are also being taken in the railway industry. The overall objective is to operate the train in such a way as to minimize the overall energy consumption, taking into account the time and physical constraints imposed by the train and the operating conditions. The achievement of this goal is ensured by advanced technologies currently used on electric rolling stock and new computer capabilities. The lion's share of electricity consumption in railway transport is accounted for by the cost of train traction. Therefore, measures aimed at optimizing electricity consumption by electric locomotives and electric trains are relevant. Optimization is a powerful tool and a promising solution to any problems associated with the operation of railway transport. The ever-increasing complexity of engineering systems, the growing demand for accuracy and the search for optimal and reliable designs create additional difficulties that can only be solved by developing optimization models. In theory, optimization is the process of maximizing or minimizing an objective function by sequentially selecting and calculating possible results within a certain set of parameters. In the context of growing competition in the transportation market, the interest in energy efficiency among railway companies in recent years has become the subject of increased interest, both for the modernization of existing vehicles and for the acquisition of new ones.