THE PROBABILITY OF LARGE QUEUE LENGTHS AND WAITING TIMES IN A HETEROGENEOUS MULTISERVER QUEUE .2. POSITIVE RECURRENCE AND LOGARITHMIC LIMITS

摘要

We continue our investigation of the batch arrival-heterogeneous multiserver queue begun in Part 1. In a general setting we prove the positive Harris recurrence of the system, and with no additional conditions we prove logarithmic tail limits for the stationary queue length and waiting time distributions. [References: 12]