An Analysis of Conveyor-Serviced Production Station by Queueing Theory

Abstract

Some important characteristics of the conveyor-serviced production station (CSPS) are here discussed from a view of queueing theory. First, under Poisson arrival and general service, the mean overflow number of units, E(η), is obtained in the case of operating policies SUP, SRP and SdSRP. Next E(η) and the mean delay-time per unit produced, E(D), are given under regular arrival, general service and SUP. As main results, a linear relation of E(η) and E(D) and the design criteria that λ^<-1>(mean arrival time) : μ<-1>(mean service time) : c (time-range) =1 : ln 2 : ln 2 are found.