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
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- EP ID EP381095
- DOI 10.18664/1994-7852. 178.2018.138917
- Views 49
- Downloads 0
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