Title :
Transient M/M/1 queue variance computation using generalized Q functions
Author :
Cantrell, P.E. ; Beall, Gary R.
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
fDate :
6/1/1988 12:00:00 AM
Abstract :
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 2×10-12 using Parl´s method, the relative error of the variance is generally less than 10-9. 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
Keywords :
errors; queueing theory; Parl´s method; VAX 11/750; generalised Q function; relative error; transient M/M/1 queue variance; Differential quadrature phase shift keying; Digital communication; Error probability; Fading; Nearest neighbor searches; Phase shift keying; Quadrature phase shift keying; Queueing analysis; Transient analysis; Upper bound;
Journal_Title :
Communications, IEEE Transactions on
