The marshall and stoyan bounds for IMRL/G/1 queues are tight |
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| Authors: | Ward Whitt |
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| Institution: | Bell Laboratories, WB-1A350, Crawfords Corner Road, Holmdel, NJ 07733, U.S.A. |
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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. |
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| Keywords: | Queues bounds approximations monotone mean residual life |
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