Mathematical models of lift systems and their simulation

Abstract

In the paper the mathematical models, describing behavior the lift systems and control by them are constructed and investigated. Various characteristics of the lift systems (an average customer’s waiting and service time) allowing to compare the different control rules are introduced. For systems with rare input flow of customers, the analytical approaches for calculating various characteristics are introduced. Using Wolfram Mathematica, the programs for simulation and estimation the parameters of complicated lift systems are suggested. The programs are universal and can be extended to be used for simulation of various systems with several lifts and other queuing systems with moving servers. Numerical data demonstrating dependence customer service time of lift’s cabin roominess.