Characterising the Finite Capacity GI/M/1 Queue with Renewal Output

1 September 1975

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science

Vol. 22 (1) , 106-110
https://doi.org/10.1287/mnsc.22.1.106

Abstract

This note proves that the only stationary GI/M/1/N queueing systems (i.e., systems having fixed waiting room capacity N(0 ≦ N ≦ ∞)) with renewal output are the M/M/1/0 and stable (traffic intensity < 1) M/M/1/∞ systems.

Keywords

CHARACTERISING
FINITE CAPACITY
NOTE
WAITING
GI/M/1/N
M/M/1/0
ROOM