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0379-01.gif
Figure 6.20
Asymptotic solution.
Notice that N = n/m is the same as our open queue occupancy r, since c0379-01.gif. Solving for ra, we have the
Asymptotic solution:
0379-02.gif
or, if ra = la/m and la is the achieved request rate,
0379-03.gif
where r = N = n/m is the open queue occupancy and
0379-04.gif
This solution for B(m,n) is called the asymptotic solution and it corresponds to the exact closed form solution when n and m are large.
Similarly, for the M/G/1 model, we have:
0379-05.gif
Solving for ra,
0379-06.gif
and
0379-07.gif
where c2 < 1.

 
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