4 problems

Consider two systems on the same lattice dimension $d$ with the same number of types $n$, having parameter vectors $(p_1,p_2,\ldots,p_n)$ and…

Mean-field busy-probability comparison. For $<$,

Let $Q^b_1(\infty)$, $Q_1^h(\infty)$ and $Q_1^J(\infty)$ denote the stationary number of needy patients in the Erlang-R model with blocking, holding and the closed ward, respective…

Let $n\geq 1$, let $c\in\{1,\ldots,n\}$, and let $p=(p_1,\ldots,p_n)\in(0,1)^n$ satisfy $p_1+\cdots+p_n\leq 1$. Write … Here $T_{c,n}(p)$ denotes the time needed in the generalized…