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Automaton Model with variable cell size for the Simulation of Pedestrian Flow

Automaton Model with Variable Cell Size for the Simulation o...

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The Seventh International Conference on Information and Management Sciences

作者： Günter Brwolff Hartmut Schwandt Technische Universitt Berlin Fakultt ⅡInstitut für Mathematik Sekr.MA 6-4Strabe des 17.Juni 13510623 BerlinGermany

＜正＞The simulation of pedestrian flow is an important issue in many modem traffic systems and *** planning and control of pedestrian flow is crucial for large buildings,shopping malls,airports,railway stations,cruise ships and ferries,manifestation places,sport stadiums etc., in order that optimal traffic throughput for daily usage can already be guaranteed at the time of *** evacuation scenarios can be considered in this context. Common simulation approaches are either discrete or contin- *** continuous models,which rely on mathematical models originally developed for fluids and gases,are better suited for the modelling of somehow global phenomena, individual aspects are given more consideration in the discrete *** discrete models for pedestrian flow are based on cellular automata,however,traditional cellular automaton models work with a fixed cell *** at any given time,the states of the cells are always well-defined by the automaton’s transition rules,the current simulation object positioned in a grid cell can be considered as the cell state *** view of the original definition of the cellular automaton,we can understand the cell size as the minimal two-dimensional space the simulation objects（***- ans）reserve for themselves *** the current paper, we present a two-dimensional automaton model to simulate pedestrian flow in which the cell size can be dynamically modified in a virtual *** can be easily observed in real world scenarios that the aforesaid minimal but exclusive space a pedestrian takes may be"elastic"（variable）,espe- cially when pedestrian density and the discrepancy of the flow-in and flow-out rates of the system are given sufficient ***,this virtual flexibility of the cell size is favourable and necessary in the simulation of pedestrian flow where the minimal space required by a pedestrian is not confined to be *** virtual cell size in our model

关键词： cellular automaton pedestrian flow simulation variable cell size

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Modelling Unbalanced Pedestrian Flow on a Two-dimensional Grid

Modelling Unbalanced Pedestrian Flow on a Two-dimensional Gr...

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The Eighth International Conference on Information and Management Sciences

作者： Matthias Plaue Günter Brwolff Hartmut Schwandt Institut für Mathematik Technische Universitt BerlinGermany

＜正＞To some extent,pedestrian flow can be considered as a compressible ***,since any real pedestrian would claim a minimum physical space,pedestrian flow becomes incompressible once the density reaches a threshold *** size of this minimum physical space may even vary under circumstances of different social *** the current paper,we discuss the possibility of describing this phenomenon on a two-dimensional *** this grid,the notion of"virtual grid cell"is applied to describe the aforesaid minimum *** basic idea of our model is applicable for the general grid-based methods of pedestrian flow simulation.

关键词： cellular automaton Lighthill-Whitham model Pedestrian flow variable cell size

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