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## Social force model for pedestrian dynamics (1995)

Venue: | Physical Review E |

Citations: | 504 - 25 self |

### Citations

354 |
Field Theory
- Lewin
- 1951
(Show Context)
Citation Context ...tion (resp. group) of individuals (see [3,23,24]). This idea has been followed by the gaskinetic pedestrian model [1–3]. 2Another approach for modeling behavioral changes has been suggested by Lewin =-=[25]-=-. According to his idea behavioral changes are guided by socalled social fields resp. social forces. In the following we will examine if this idea could be applied to the description of pedestrian beh... |

141 |
Kinetic Theory of Vehicular Traffic,
- Prigogine, Herman
- 1971
(Show Context)
Citation Context ...ch has been improved and mathematically founded by Helbing in the 1990s on the basis of a pedestrian specific gaskinetic (Boltzmann-like) model [1,2]. This model is closely related to some gaskinetic =-=[12,13]-=- and fluid-dynamic [14–16] traffic models. Recently, much attention has been attracted by ‘microscopic’ approaches for vehicular traffic [17–20]. In the following, we will introduce a social force mod... |

43 |
Concepts and Models of a Quantitative Sociology
- Wolfgang, Haag
- 1983
(Show Context)
Citation Context ...imple situations stochastic behavioral models may be developed if one restricts to the description of behavioral probabilities that can be found in a huge population (resp. group) of individuals (see =-=[3,23,24]-=-). This idea has been followed by the gaskinetic pedestrian model [1–3]. 2Another approach for modeling behavioral changes has been suggested by Lewin [25]. According to his idea behavioral changes a... |

17 |
Verkehrsbelastung und Dimensionierung von Gehwegen und anderen Anlagen des Fussgangerverkehrs”, Strassenbau und Stasserverkehrstechnik, Heft 22
- Oeding
- 1963
(Show Context)
Citation Context ...ngle of sight were assumed to have an influence of c = 0.5. The model parameters introduced above were chosen in a way that is compatible with empirical data. Figure 2 shows the empirically confirmed =-=[6]-=- development of dynamically varying lanes consisting of pedestrians who intend to walk into the same direction. Periodic boundary conditions in transversal direction would stabilize these lanes since ... |

11 |
Stochastische Methoden, nichtlineare Dynamik und quantitative Modelle sozialer Prozesse
- Helbing
- 1992
(Show Context)
Citation Context ...imple situations stochastic behavioral models may be developed if one restricts to the description of behavioral probabilities that can be found in a huge population (resp. group) of individuals (see =-=[3,23,24]-=-). This idea has been followed by the gaskinetic pedestrian model [1–3]. 2Another approach for modeling behavioral changes has been suggested by Lewin [25]. According to his idea behavioral changes a... |

8 |
Nature 229
- Henderson
- 1971
(Show Context)
Citation Context ...EVTEX 1I. INTRODUCTION During the last two decades models of pedestrian behavior have found notable interest for several reasons. First, there are some striking analogies with gases [1–3] and fluids =-=[1,2,4,5]-=-. Second, all model quantities like places ⃗rα and velocities ⃗vα of pedestrians α are measurable and, therefore, comparable with empirical data. Third, there already exists a considerable amount of d... |

3 | in Modeling Complex Phenomena, edited by L. Lam and V - Freimuth, Lam - 1992 |

2 |
Physikalische Modellierung des dynamischen Verhaltens von Fußgängern Master’s thesis
- Helbing
- 1990
(Show Context)
Citation Context ...EVTEX 1I. INTRODUCTION During the last two decades models of pedestrian behavior have found notable interest for several reasons. First, there are some striking analogies with gases [1–3] and fluids =-=[1,2,4,5]-=-. Second, all model quantities like places ⃗rα and velocities ⃗vα of pedestrians α are measurable and, therefore, comparable with empirical data. Third, there already exists a considerable amount of d... |

2 |
Traffic Engineering 39
- Navin, Wheeler
- 1969
(Show Context)
Citation Context ...the following, two examples will be presented showing the self-organization of collective phenomena of pedestrian behavior. The simulations assumed that the desired speeds v0 are Gaussian distributed =-=[4,7]-=- with mean 〈v 0 〉 = 1.34ms −1 and standard deviation √ θ = 0.26ms −1 [33]. Speeds were limited to v max α = 1.3v 0 α. Pedestrians enter the walkway at the ends at random positions. Those intending to ... |

2 | Improved fluid-dynamic model for vehicular traffic - Rev - 1993 |

2 |
Physica A 196
- Helbing
- 1993
(Show Context)
Citation Context ...he obtains about his/her environment (see figure 1). In summary, one can say that a pedestrian acts as if he/she would be subject to external forces. This idea has been mathematically founded in Ref. =-=[26]-=-. III. FORMULATION OF THE SOCIAL FORCE MODEL In the following the main effects that determine the motion of a pedestrian α will be introduced: 1. He/She wants to reach a certain destination ⃗r 0 α as ... |

2 |
Active Walker simulate trunk trail formation by ants. Submitted to Adaptive Behavior
- Schweitzer, Lao, et al.
- 1994
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Citation Context ...ied version of it can be extended to an active walker model [28–30] for the self-organization of systems of ways [31]. This is related to the mathematical description of trunk trail formation by ants =-=[32]-=-. IV. COMPUTER SIMULATIONS The model of pedestrian dynamics developed in Section III has been simulated on a computer for a large number of interacting pedestrians confronted with different situations... |

1 |
Human Territories: How We Behave
- Scheflen, Ashcraft
- 1976
(Show Context)
Citation Context ...a certain distance from other pedestrians that depends on the pedestrian density and the desired speed v0 α. Here, the privat sphere of each pedestrian, which can be interpreted as territorial effect =-=[27]-=-, plays an essential role. A pedestrian normally feels increasingly incomfortable the closer he/she gets to a strange person, who may react in an aggressive way. This results in repulsive effects of o... |

1 |
Transporttechnik der Fußgänger, pp. 87–88 (Schriftenreihe des Instituts für Verkehrsplanung, Transporttechnik, Straßen- und Eisenbahnbau
- Weidmann
- 1993
(Show Context)
Citation Context ...n of collective phenomena of pedestrian behavior. The simulations assumed that the desired speeds v0 are Gaussian distributed [4,7] with mean 〈v 0 〉 = 1.34ms −1 and standard deviation √ θ = 0.26ms −1 =-=[33]-=-. Speeds were limited to v max α = 1.3v 0 α. Pedestrians enter the walkway at the ends at random positions. Those intending to walk from the left to the right hand side are represented by full circles... |