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

Revision as of 16:14, 4 June 2012

Revision as of 22:17, 5 June 2012

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:<math>\pi (k_1,k_2,\ldots,k_m) = \prod_{i=1}^{m} \pi_i(k_i) = \prod_{i=1}^{m} [\rho_i^{k_i} (1-\rho_i)].</math>

The result <math>\pi (k_1,k_2,\ldots,k_m) = \prod_{i=1}^{m} \pi_i(k_i)</math> also holds for [[M/M/c model]] stations with ''c''_''i'''' servers at the <math>i^\text{th}</math> station, with utilization requirement <math>\rho_i < c_i</math>.

==Generalized Jackson network==