Changes between Version 9 and Version 10 of doc/tec/mas/social_forces


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Timestamp:
Feb 26, 2021 3:51:25 PM (3 years ago)
Author:
wagner
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  • doc/tec/mas/social_forces

    v9 v10  
    2222}}}
    2323In the MAS, a simple Euler-forward method is used for time-integration.\\\\
    24 **Note:** As human reactions take place on a very short time scale and due to the chosen social forces approach, the **[wiki:doc/app/agtpar#dt_agent time step]** for the agent model must be very short (~0.02 s - 0.04 s recommended).
     24**Note:** As human reactions take place on a very short time scale and due to the chosen social forces approach, the **[wiki:doc/app/agent_parameters#dt_agent time step]** for the agent model must be very short (~0.02 s - 0.04 s recommended).
    2525The forces considered here are repulsion by obstacles and other pedestrians as well as the acceleration term driving the pedestrian toward its target. \\
    2626----
     
    3939\end{equation*}
    4040}}}
    41 In the MAS, //U,,0,,// is [wiki:/doc/app/agtpar#repuls_wall repuls_wall] and //R,,B,,// is [wiki:/doc/app/agtpar#sigma_rep_wall sigma_rep_wall].\\
     41In the MAS, //U,,0,,// is [wiki:/doc/app/agent_parameters#repuls_wall repuls_wall] and //R,,B,,// is [wiki:/doc/app/agent_parameters#sigma_rep_wall sigma_rep_wall].\\
    4242----
    4343The repulsion by another **pedestrian //β//** is defined as
     
    5555\end{equation*}
    5656}}}
    57 In the MAS, //V,,0,,// is [wiki:/doc/app/agtpar#repuls_agent repuls_agent] and //R,,β,,// is [wiki:/doc/app/agtpar#sigma_rep_agent sigma_rep_agent]. This agent repulsive force is only used if α and β are already colliding (i.e. two circles with centers at the respective agents' position with radius [wiki:/doc/app/agtpar#radius_agent radius_agent] are intersecting). In this way, a quasi-solid core of the agents is realized. \\
     57In the MAS, //V,,0,,// is [wiki:/doc/app/agent_parameters#repuls_agent repuls_agent] and //R,,β,,// is [wiki:/doc/app/agent_parameters#sigma_rep_agent sigma_rep_agent]. This agent repulsive force is only used if α and β are already colliding (i.e. two circles with centers at the respective agents' position with radius [wiki:/doc/app/agent_parameters#radius_agent radius_agent] are intersecting). In this way, a quasi-solid core of the agents is realized. \\
    5858However, the standard Social-Force Model performs poorly regarding collision avoidance since it contains no mechanism to address this issue. This shows itself in frequent collisions between agents. \\
    5959To remedy this, [#karamouzas2014 Karamouzas et. al, 2014] performed statistical analysis on movement tracking data. They found a 'universal power law governing pedestrian interactions' regardless of scenario. This approach performs very well concerning close-range collision avoidance maneuvers of agents in a wide variety of cases. It causes agents to slow down, speed up or slightly alter their path to avoid colliding with each other. The corresponding force is calculated as
     
    7474\end{equation*}
    7575}}}
    76 describes the tendency of a pedestrian to accelerate toward its current target (more on agent pathfinding **[wiki:doc/tec/mas/agent_pathfinding here]**). Here, τ,,α,, is a relaxation time ([wiki:/doc/app/agtpar#tau_accel_agent tau_accel_agent]) that describes how quickly the pedestrian approaches v,,0,,, its desired walking speed.\\\\
     76describes the tendency of a pedestrian to accelerate toward its current target (more on agent pathfinding **[wiki:doc/tec/mas/agent_pathfinding here]**). Here, τ,,α,, is a relaxation time ([wiki:/doc/app/agent_parameters#tau_accel_agent tau_accel_agent]) that describes how quickly the pedestrian approaches v,,0,,, its desired walking speed.\\\\
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