Generic equivalence conjecture for 0-RJF and G-RDS

Fix a network and a tail-exponent vector ${\boldsymbol{\gamma}}$. Let ${\boldsymbol{\lambda}}^*$ range over nonnegative nominal arrival vectors, and let 0-RJF and G-RDS denote the conditions defined in the paper. Generic 0-RJF–G-RDS conjecture. The set

$$\left\{ {\boldsymbol{\lambda}}^*\succeq {\bf 0}:\; 0\text{-RJF holds but G-RDS does not hold}\right\}$$

has Lebesgue measure zero. Thus, although the two conditions may differ on a boundary, they should be generically equivalent. This is posed as an open conjecture motivated by the apparent closedness of the 0-RJF region and openness of the G-RDS region.