Reversible four-cycle flow model
= Reversible four-cycle flow model
The <proportionally fair allocation on a four-cycle> produces a <reversible Markov chain> with <stationary distribution> proportional to $\binom{n_1+n_2+n_3+n_4}{n_1+n_3}\prod_r\rho_r^{n_r}$. This is normalizable exactly when every resource's offered load is strictly below capacity, equivalently $\max(\rho_1,\rho_3)+\max(\rho_2,\rho_4)<1$.