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Better bounds for a( not so)special case For G/G/1 systems whose inter-arrival times have the property that for all non-negative values of to, FX、1.、1( what does this mean, intuitively?) it has been shown that. B <W,<B (0+0) (p<1) 2 2(1-p) Note that the upper and lower bounds in(8 differ by, at most, 1 n and that the percent difference between the upper and lower bounds decreases as p increasesBetter bounds for a (not so) special case • For G/G/1 systems whose inter-arrival times have the property that for all non-negative values of t0 , l 1 [ | ] E X - t0 X > t0 £ it has been shown that: ( 1) 2 (1 ) ( ) 2 1 2 2 < × - × + £ £ = + - r r l s s l r X S B Wq B (what does this mean, intuitively?) • Note that the upper and lower bounds in (8) differ by, at most, 1/l and that the percent difference between the upper and lower bounds decreases as r increases! (8)
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