3 problems

Uniform minimization conjecture. For every $q\geq 0$, the coefficient under the uniform policy equals the minimum over all edge-selection probability vectors:

NWU load conjecture. For NWU distributed speed variations, the loads satisfy

Let a redundancy-$d$ system use processor sharing (PS), and let job sizes have general distributions. Write $\tilde{\rho}$ for the corresponding system load parameter. Sufficient s…