Comparison conjectures about the M/G/ s queue

Authors:
Ward Whitt
Affiliations:
Bell Laboratories, Holmdel, NJ 07733, USA
Venue:
Operations Research Letters
Year:
1983

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Abstract

We conjecture that the equilibrium waiting-time distribution in an M/G/s queue increases stochastically when the service-time distribution becomes more variable. We discuss evidence in support of this conjecture and others based partly on light-traffic and heavy-traffic limits. We also establish an insensitivity property for the case of many servers in light traffic.