On the Large Deviation of Resequencing Queue Size - A Generalizable Argument involving Moment Generating Functions
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چکیده
I. THE SETUP At time t, let V (t) be the event {the DN is empty at time t}. If V̄ (t), let C∗(t) be the oldest customer in the DN, let W∗(t) be the time C∗(t) has spent in the DN, and let I∗(t) be the queue in the DN which C∗(t) goes through. For n ≥ 0, let E(t, s, n) = {at least n customers arrived at the DN on the interval (t− s, t], out of which at least n have left the DN by t}. Let the size of the resequencing queue (RSQ) at time t be qr(t), and let qi(t) be the size of queue i at time t, where i = 1 or 2. Then, for n > 0,
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تاریخ انتشار 2006