Complex motion induced by elevator choice in peak traffic

• We presented the dynamic model of the two-elevator system to take into account the elevator choice of passengers.
• We studied the effect of both preference and fastness on the elevator motion.
• We clarified the dependence of elevator motion on both preference and fastness of passengers.

We study the dynamic motion of two elevators by an elevator-choice strategy of passengers. An elevator is correlated with another elevator by the elevator choice. The dynamics of the elevator traffic system is described by a pair of deterministic nonlinear maps. The motion of two elevators is determined by the three parameters: the passenger’s preference, the fraction of fast passengers, and the inflow rate. The dynamics of two elevators depends highly on the elevator-choice strategy. The motion of two elevators displays a complex behavior by a neck-and-neck race between two elevators. We explore the dependence of elevator motion on the passenger’s preference, the fraction of fast passengers, and the inflow rate.