Effect of stopover on motion of two competing elevators in peak traffic

We study the dynamic motion of two competing elevators when elevators stop over at some floors. We present the dynamic model of elevators to take into account the stopover effect. 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 five parameters: the numbers of stopovers at two elevators, the fraction of passengers choosing the first elevator, the fraction of passengers choosing the second elevator, and the inflow rate. The dynamics of two elevators depends highly on these parameters. 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 fractions of two kinds of passengers, the numbers of stopover floors, and the inflow rate.