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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<sub>i</sub>'' servers at the <math>i^{th}</math> station, with utilization requirement
==Generalized Jackson network==
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