Mathematica 9 is now available

Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

Moments for M/G/1 Queues

H. Takagi
K. Sakamaki
Journal / Anthology

The Mathematica Journal
Year: 1996
Volume: 6
Issue: 1
Page range: 75-80

We present Mathematica programs that calculate algebraically the distribution moment of any order from the Pollaczek-Khinchine formula for the waiting time of an M/G/1 queue with first-come first-served discipline. Similar programs are also provided for the queue size, the length of a busy period, and the waiting time in the last-come first-served system.

*Applied Mathematics > Computer Science
*Applied Mathematics > Optimization
*Mathematics > Probability and Statistics