Elevator performance estimation model based on square lattices

In this study, we propose a stochastic model for estimating elevator performance criteria from the average number of passenger arrivals. We present a basic framework for our model and try to construct a mathematical formulation. More specifically, a probability distribution of service times for one operation is formulated, where the elevator starts service for the first passenger, finishes all services, and returns to a fixed position. Using this probability distribution, we develop an expression for elevator performance and expected service time for one operation. To show the validity of our model, we compare the value from a numerical simulation with the estimated value. We thus clarify the validity and limitations of the model.