The marshall and stoyan bounds for IMRL/G/1 queues are tight

Authors:
Ward Whitt
Affiliations:
Bell Laboratories, WB-1A350, Crawfords Corner Road, Holmdel, NJ 07733, U.S.A.
Venue:
Operations Research Letters
Year:
1982

Citing 2
Cited 1

On accuracy improvement and applicability conditions of diffusion approximation with applications to modelling of computer systems

On accuracy improvement and applicability conditions of diffusion approximation with applications to modelling of computer systems
Probability, Statistics, and Queueing Theory with Computer Science Applications

Probability, Statistics, and Queueing Theory with Computer Science Applications

Refining diffusion approximations for queues

Operations Research Letters

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Abstract

Previously established upper and lower bounds for the mean waiting time in a GI/G/1 queue given an interarrival-time distribution with increasing mean residual life are shown to be tight. Distributions for which the inequalities become equalities are displayed. The corresponding bounds for DMRL distributions are not tight.