Open AccessTechnical Note—On the Comparison of Waiting Times in GI/G/1 Queues
Author(s) -
Tomasz Rolski,
Dietrich Stoyan
Publication year - 1976
Publication title -
operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.797
H-Index - 140
eISSN - 1526-5463
pISSN - 0030-364X
DOI - 10.1287/opre.24.1.197
Subject(s) - queue , mathematics , queueing theory , combinatorics , burke's theorem , discrete mathematics , queueing system , computer science , queue management system , statistics , computer network , fork–join queue
Let W1, W2 be the distribution functions of the waiting time in two queuing systems. We develop sufficient conditions for the stochastic inequalities W1x ⧠W2x and â«0∞xdW1x ⦠â«0∞xdW2x when both systems are of the type GI/G/1, GI/M/1 or M/G/1.
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