The Negative Dependence of Evacuation Time on Group Size Under a Binding Mechanism

This paper initiates the analysis of relation between evacuation time and group size by applying an extended floor-field cellular automaton model. Multi-speed-agents, a structure containing leaders followers, local-density-dependent dynamic field are implemented all together in Most importantly, complete binding mechanism which includes waiting for followers is brought up first time. A counterintuitive negative discovered one-group-type simulations, corresponds to previous experimental finding. An entropy-like quantity, namely mixing index, constructed analyze cause that relation. It found under mechanism, higher degree mixing, longer will be. Moreover, through constant scale transformation, it shown index can be key indicator contains useful information about system.