A Note on the Performance Limited Entry Queuing Systems

摘要

A Limited Entry Queueing System (LEQS) in which customers require a constant service time and can enter service at multiples of this service time is described. It is compared to an Unlimited Entry Queueing System (UEQS) in which customers can enter service whenever the server is available. LEQS is shown to be a good approximate model for use in the flow analysis of material handling systems. Two possible extensions of interest are suggested. One is a possible limit on the number of customers who can be presented. Such a limit arises naturally from the space available to store the unit loads (LEQS will reject more customers than UEQS). The second extension concerns the situation with multiple identical servers. If each server behaves as in LEQS, but the beginning-of-service time differs from server to server, then it is suggested that the beginning of service should be evenly spaced at possible arrival times.