Žilinská univerzita v Žiline

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    Matematický model pohonnej sústavy koľajového vozidla
    (University of Žilina, 2023) Dižo, Ján; Blatnický, Miroslav; Ishchuk, Vadym; Molnár, Denis; Solčanský, Sebastián
    The presented research is aimed at the derivation of a mathematical model of diesel-mechanical drivetrain of a rail vehicle. It is derived by means of the Lagrange’s equations of the second kind. The derived mathematical model allows to understand the essential principle of the derivation of the mathematical model of the diesel-mechanical drivetrain of a rail vehicle, an application of the numerical mathematical methods for the solving the equations of motion and for evaluation of the wanted outputs quantities, such as waveforms of revolutions and torques of shafts and others.
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    The Use of Matlab in Creating M/M/n/∞ Queuing Theory Model
    (University of Zilina, 2020) Mojský, Viliam; Achimský, Karol
    In our research we dealt with the creation of an algorithm designed to simulate M / M / n queuing systems with endless queues. The algorithm was created in Matlab. When creating the algorithm, we proceeded according to scientific literature, according to which we transformed the formulas into the Matlab algorithm. This process also included the optimization and creation of new outputs based on the analysis of the generated data. The research output is a Matlab algorithm suitable for creating simulations of M / M / n / ∞ systems.
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    The Use of Monte Carlo Simulation Method in Decision Support Via MATLAB Script
    (University of Zilina, 2020) Mojský, Viliam; Achimský, Karol
    In our research we examined the possibility of using Monte Carlo simulation to support decision making through simulation models. For this purpose, we chose a basic economy task assignment. Subsequently, we created a simulation algorithm in Matlab, where we searched for the optimal amount of offered products based on the task inputs. The output of the research is a simulation algorithm using the Monte Carlo method to solve a given economic problem.