Technical Note—On the Comparison of Waiting Times in GI/G/1 Queues

1 February 1976

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

Vol. 24 (1) , 197-200
https://doi.org/10.1287/opre.24.1.197

Abstract

Let W₁, W₂ be the distribution functions of the waiting time in two queuing systems. We develop sufficient conditions for the stochastic inequalities W₁(x) ≧ W₂(x) and ∫₀^∞xdW₁(x) ≦ ∫₀^∞xdW₂(x) when both systems are of the type GI/G/1, GI/M/1 or M/G/1.

Keywords

FUNCTIONS
NOTE
WAITING
STOCHASTIC
GI/M/1
SUFFICIENT
QUEUING
M/G/1
GI/G/1