Implementation of Statistical Methods to optimize the Processes of Transport Systems

J. Galanda, E. Jenčová, M. Spodniak, L. Lučanská, B. Semrádová
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Abstract

Currently, statistical modeling is a very widespread way to simplify the approximation of reality through mathematical descriptions of the systems studied in the form of mathematical models. Model is a very often used simplified abstract tool for predicting the behavior of the modeled systems. When modeling complex transport systems, we encounter phenomena and processes whose input parameters are often random in nature. Their states can be predicted with some probability. In such cases, it is possible to use Monte Carlo methods for statistical prediction of states of continuous random phenomena and subsequent simulation and a sufficient number of generated input parameters of the model to obtain statistical results approaching the state of the modeled system in the real environment. The content of the article is a description of the practical application and use of the Monte Carlo method in statistical modeling in the study and in solving a specific problem in transport systems and optimization of transport processes.
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运用统计方法优化运输系统的流程
目前,统计建模是一种非常广泛的方法,它通过以数学模型的形式对所研究的系统进行数学描述来简化对现实的逼近。模型是一种常用的简化抽象工具,用于预测被建模系统的行为。在对复杂输运系统建模时,我们会遇到输入参数通常是随机的现象和过程。它们的状态可以用一定的概率来预测。在这种情况下,可以使用蒙特卡罗方法对连续随机现象的状态进行统计预测并进行后续模拟,并且可以使用足够数量的模型生成的输入参数来获得接近真实环境中被建模系统状态的统计结果。本文的内容是描述蒙特卡罗方法在统计建模研究中的实际应用和使用,以及在解决运输系统和运输过程优化中的具体问题。
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