APPLICATION OF THE CLASSIC MODEL OF THE LOTKA–WOLTERRA AT THE REDUCTION OF THE PROBLEM OF RATIONAL USE OF RESOURCES IN RAILWAY SCOPE OF ACTIVITY
Journal Title: Збірник наукових праць Українського державного університету залізничного транспорту - Year 2018, Vol 178, Issue 12
Abstract
The article deals with the simulation of processes described by the Lotkа-Volterra equations, which allows a comprehensive assessment of the dynamics of processes in various fields (biology, ecology, medicine, economics, social studies, history, radio physics and other sciences), to reach the equilibrium levels of the competing systems studied, theoretically predict and control the behavior of the main parameters of the model. Among the most important issues facing today's modern railway enterprises in Ukraine is the search for ways to increase their efficiency. Under these conditions, issues of development and implementation of resource-saving technologies at railway enterprises are of particular importance. For efficiency enterprises, cost optimization models are needed to ensure that economically sound decisions are made that increase financial performance and form the basis for effective work. The article deals with the simulation of processes described by the Lotkа-Volterra equations with the help of the Matlab software is considered. Based on the results presented in the simulation of the analyzed system, with the help of time and phase trajectories, it was investigated that Lotka-Volterra's mathematical model is a universal model that can be used to optimize a particular process. The application of the classical mathematical model of Lotka-Volterra in the railway field of activity for cost optimization is carried out on the example of the process of distributing the estimated amount of brake pads needed to provide rolling stock, by creating an imitation model and obtaining characteristics that allow obtaining clear data on the process of distributing brake pads by locomotives and at the same time to avoid downtime, as well as excessive costs for the purchase of too many brake pads.
Authors and Affiliations
Volodymyr Nerubatskyi, Denys Hordiienko
Keywords
Related Articles
- EP ID EP381095
- DOI 10.18664/1994-7852. 178.2018.138917
- Views 60
- Downloads 0
PARAMETERS OF RELIABILITY OF REINFORCED CONCRETE SHAPES IN DIFFERENT OPERATING CONDITIONS
The work of reinforced concrete sleepers of brands Sh-1-1 and SB-3-0 in the conditions of main railways and non-public roads is considered. The main operational factors influencing their work in the way are determined. B...
TO THE QUESTION OF INTRODUCTION OF SOURCE OF UNINTERRUPTED FEEDING ON RAIN SUBSTANCES AT A SPEED MOTION
A cardinal solution to the problem of ensuring the quality of electrical energy is to change the structure of the power supply system for own needs and backup power supply by using in its composition a developed unit for...
A MATHEMATICAL MODELING OF AC ELECTRIC LOCOMOTIVE WITH ACTIVE CONVERTER IN TRACTION
One of the ways to increase the power factor of AC electric locomotives with DC traction motors is the use of converters on fully controlled semiconductor devices — active current source rectifiers. However, the modes of...
NUMERICAL INVESTIGATIONS OF DYNAMIC TRANSVERSE FORCES IN CURVES, IN THE ZONES OF RAILS VARIETIES
The purpose of the work is to identify, by numerical methods, the causes of intensive lateral wear of rails and other bounces of the track in curves of small radius. The research has been carried out for the most mass ty...
DEFINITIVE PROPERTIES OF GROUND-POLYMER COMPOSITE: METHOD OF EXPERIMENTAL RESEARCH
The original method of studying the deformation features of the ground-polymer composite formed as a result of injection into the clayey soil of the polyurethane material SPT® has been developed. According to this method...