eWork and eBusiness in Architecture, Engineering and Construction 2010
DOI: 10.1201/b10527-65
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Graph-based approaches for simulating pedestrian dynamics in building models

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Cited by 34 publications
(24 citation statements)
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“…In [19], pedestrians minimize their travel time by solving the HamiltonJacobi-Bellman equation, yielding the optimal pedestrian path at each time step. A combination of a graph-based routing with CA is presented in [17] where the fastest path for pedestrians is computed using a heuristic A * algorithm [31]. In [29] visibility graphs and the Dijkstra method are used to determine the route of pedestrians in discrete space.…”
Section: Introductionmentioning
confidence: 99%
“…In [19], pedestrians minimize their travel time by solving the HamiltonJacobi-Bellman equation, yielding the optimal pedestrian path at each time step. A combination of a graph-based routing with CA is presented in [17] where the fastest path for pedestrians is computed using a heuristic A * algorithm [31]. In [29] visibility graphs and the Dijkstra method are used to determine the route of pedestrians in discrete space.…”
Section: Introductionmentioning
confidence: 99%
“…Travel time as determinant of the motion has been discussed and modeled in a number of previous works, sometimes for macro-or mesoscopic approaches [13,14,32,8,44], but more often within the scope of microscopic models. Of these the majority are field-based as the dynamic potential approach [12,49,46,26,27,23,47,29,28,7,24], but there exist also other methods which are based on an additional routing network, discrete choice or heuristics [5,3,11,21,34]. …”
Section: Related Workmentioning
confidence: 99%
“…Other graph algorithms like A*, Floyd-Warshall or Bellman-Ford [35] are also used to determine the shortest path from a source to a destination. In [36] a reduced visibility graph is used to reflect possible route choices and the FastestPath Algorithm finds the fastest path for travelers [37]. In [38] metrical-topological models constructed from labelled floor plan geometry are used to describe the shape and connectivity of space, and constitute useful underlying tools for wayfinding.…”
Section: Related Workmentioning
confidence: 99%