Modeling and Performance Evaluation of an Elevator System Using Queueing Theory

Abstract

In this paper, we investigate the stochastic behavior of an elevator system from mathematical point of view. We formulate it as a queueing model and analyse its performance to derive the p.g.f. (probability generating function) of the queue length and to obtain the mean queue length. Based on the analytical results, we calculate the above performance measures under various types of scenarios and find that the mean queue length at each floor depends on its relative position to other floors as well as the arrival rate to the floor and the attainable speed of the elevator.