Excessive Backlog Probabilities of Two Parallel Queues

Kamil Demirberk Ünlü, Ali Devin Sezer

Let $X$ be the constrained random walk on ${\mathbb{Z}}_{+}^2$ with increments $(1,0)$, $(-1,0)$, $(0,1)$ and $(0,-1)$; $X$ represents, at arrivals and service completions, the length…