4 problems

Consider a multiclass queue operating under the processor-sharing discipline, and suppose that the queue-length and workload processes are scaled in the heavy-traffic regime. Harri…

Miyazawa's process-limit conjecture. A process limit of the diffusion-scaled queue-length process in heavy traffic is the solution $Z(\cdot)$ of the stochastic integral equation fo…

Miyazawa's conjecture. The process $Z(\bcdot)$ is the weak solution of a stochastic integral equation, and its stationary distribution agrees with the heavy-traffic limit of the sc…

The paper studies a $G_t/M/s_t+\mathit{GI}$ many-server queue, with fluid-model performance functions $(B(t,y),Q(t,y),X(t),A(t),D(t),w(t),v(t))$ and FWLLN- and FCLT-scaled processe…