5 problems

Consider the proposed dispatching policy for a system with renewal arrivals and generally distributed service times. Stability conjecture. The policy is always stable, even with re…

Consider a queueing system with two service types, in which users choose a service type whenever they enter service. A threshold strategy is a strategy whose choice depends on the…

Let $alpha_n>0$ denote the policy's message-rate parameter, and consider its steady-state queueing delay. Delay-scaling conjecture. The steady-state queueing delay of the policy is…

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 $Q_1^b(\infty)$, $Q_1^h(\infty)$ and $Q_1^c(\infty)$ denote the stationary numbers of needy patients in the Erlang-R models with blocking and holding and in the closed ward mod…