= Stationary law of a two-resource linear flow network
{title2=$\pi(a,b,c)$}
For route offered loads $\rho_1,\rho_2,\rho_0$, the <balance function of a flow-level network> $\Psi(a,b,c)=\binom{a+b+c}{c}$ gives the <stationary distribution>
$$
\pi(a,b,c)=B\binom{a+b+c}{c}\rho_1^a\rho_2^b\rho_0^c.
$$
The <negative binomial series> sums over $c$, and two geometric sums give $B=(1-\rho_0-\rho_1)(1-\rho_0-\rho_2)/(1-\rho_0)$ under the <stability conditions for a two-resource linear flow network>.
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