The Marshall and Stoyan Bounds for Imrl/g/1 Queues Are Tight

نویسنده

  • Ward WHITT
چکیده

Consider the G I / G / i queue partially specified by the first two moments of the interarrival times and service times. Let ?~ be the arrival rate, p the traffic intensity, c, 2 the squared coefficient of variation of the interarrival-time distribution (variance divided by the square of its mean), the c 2 the squared coefficient of variation of the service-time distribution. Kingman [!!] showed that the mean steady-state waiting time, £ W , is bounded above as follows:

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تاریخ انتشار 1982