Transient M/M/1 queue variance computation using generalized Q functions

P.E. Cantrell, G.R. Beall · IEEE Transactions on Communications · 1988

A generalized Q function representation for the transient M/M/1 queue variance is developed. The expression is highly accurate and computationally efficient, and an upper bound on the error is easily calculated. For a Q function relative error of 2*10-/sup 12/ using Parl's method, the relative error of the variance is generally less than 10/sup -9/. Average execution time is of the order of 70 ms per point on a VAX 11/750, but faster execution times can be obtained by using larger Q function relative errors.>

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