Jackson's theorem (queueing theory): Difference between revisions

Revision as of 21:06, 1 February 2006

Revision as of 12:57, 15 May 2006

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* M = # of queues in the system, not counting queue 0 which represents the outside world

* <math>\mu_i</math> = service rate at queue <math>i</math>

* <math>\lambda_i</math> = total rate at which jobs arrive at queue <math>ji</math>

* <math>\forall i,1\leq i\leq M:\rho_i = </math> utilization of the service at queue <math>i = \frac {\lambda_i}{\mu_i} < 1</math>

* <math>n_i(t)</math> =# of jobs in queue i at time t