8 problems

Consider an interference queueing network on the $d$-dimensional grid with arrival rate $\lambda$ and interference sequence $(a_i)_{i\in\mathbb{Z}}$. Instability conjecture. For al…

Let $x_{0;\infty}(0)$ denote the queue length at the origin at time $0$ in the minimal stationary solution of the interference queueing network on the grid, with arrival rate…

Consider a network of signalized intersections modeled as a queuing network, with the network state given by queue lengths and vehicle positions, and with control that depends on t…

Non-stabilizability conjecture. The non-stabilizability results of this paper should carry over to networks with general processing times.

Consider a queueing network with a discipline that is memoryless, meaning that the allocation process at time $t$ depends only on the queue length at time $t$. Let…

Consider a large queueing network in which one or more observed current(s) are gradually increased, and distinguish the uncongested regime from the fully congested regime by the nu…

Consider the reduced system of equations for $P_{s;q}(n)$ in the single-station feedback queue, with spectral boundaries $s_-$ and $s_+$. Spectral-boundary conjecture. The system o…

Distribution distinction conjecture. The two distribution functions $P_{\bm q}(\bar{n})$ and $P_{\bm q}(n(t))$ are different for every value of $q$, except for the special value co…