Access control of parallel multiserver loss queues

Access Control to Two Multiserver Loss Queues in Series

We consider admission policies to two multiserver loss queues in series with two types of traffic. Both are generated according to independent Poisson processes with constant arrival rates. The first type requires service at the first queue and with a positive probability enters the second queue; the second type requires service at only the second queue. The service time distribution is exponen...

Q Q Ueuing Ueuing a Analysis Nalysis

WHY QUEUING ANALYSIS? ......................................................................................2 QUEUING MODELS......................................................................................................3 The Single-Server Queue.....................................................................................3 Queue Parameters .............................................

Diffusion Approximation Model of Multiserver Stations with Losses

The article presents a diffusion approximation model of a G/G/N/N station – N parallel servers without queueing. Diffusion approximation allows us to include in queueing models fairly general assumptions. First of all it gives us a tool to consider in a natural way transient states of queues, which is very rare in classical queueing models. Then we may consider input streams with general intera...

Further delay moment results for FIFO multiserver queues

Using a new family of service disciplines, we provide weaker su cient conditions for nite stationary delay moments in FIFO multiserver queues. This extends the work in Sigman and Scheller-Wolf[1997] to GI=GI=s queues with = E[S]=E[T ] < s 1, where S and T are generic service and interarrival times, respectively. Thus, only when > s 1 are the familiar Kie er and Wolfowitz conditions actually nec...

How Multiserver Queues Scale with Growing Congestion-Dependent Demand