title: ÐÐ¾Ð»Ð¸ÑÐµÑÑÐ²ÐµÐ½Ð½Ð°Ñ Ð¾ÑÐµÐ½ÐºÐ° Ð½ÐµÐ¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð² Ð·Ð°Ð´Ð°ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÐµÑÐµÑ Ð¾Ð´Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Uncertainty quantification in a pedestrian modelling problem
Creators: name: ÐÐµÐ»Ð¸ÑÐºÐ¾, ÐÑÑÐµÐ½Ð¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²ÐµÐ½Ð½Ð°Ñ Ð¾ÑÐµÐ½ÐºÐ° Ð½ÐµÐ¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½Ð¾ÑÑÐ¸
Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÐµÑÐµÑ Ð¾Ð´Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²
ÑÐ°ÑÑÐ¸ÑÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»Ð¸Ð½Ð¾Ð¼Ð¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ñ Ð°Ð¾ÑÐ°
Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÑ ÑÐ°Ð³Ð¾Ð²
uncertainty quantification
pedestrian dynamics
polynomial chaos expansion
optimal steps model

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description: The subject of the graduate qualification work is Â«Uncertainty quantification in a pedestrian modelling problemÂ». Pedestrian flow modelling is widely used as a tool to provide the safety requirements for the design of buildings. Modern simulation models also take into consideration the human nature of the process. This means that certain input parameters have a random character. In this research we will use a modified OSM model based on the psychological notion of personal space and representing pedestrian flow in its most natural form. To account for the randomness of the input parameters, we will apply uncertainty quantification techniques, namely the collocation method and the Monte Carlo method. Using the values obtained from a large number of iterations of the Monte Carlo method, we investigate the precision of the collocation method depending on the given parameters. Afterwards, we will compare the number of simulations of each method required to achieve a given precision. In this way, we will try to solve one of the main problems of pedestrian flow modelling - its resource-intensiveness. In addition, we will apply the collocation method to investigate the effect of several basic input parameters on the density of flow in a narrow corridor scenario, again making a comparison with the Monte Carlo method.