On pathwise behavior of multiserver queues

In this paper, by exploiting recent results on the pathwise behavior of the workload process in single server, work conserving queues of the G/G/1/• type, the authors show that the workload of multiserver, work conserving queues of G/G/m/• (m<•) (and G/G/•) queueus satisfies an o(t) growth condition, provided that the time average of the work brought into the system is less than m for m<• (and finite for m=•).