Access Control to Two Multiserver Loss Queues in Series

Access control of parallel multiserver loss queues

This paper considers access control in a target multiserver loss queue fed by a set of upstream parallel multiserver loss queues and by a stream of new customers. The target queue faces a choice of how many servers to reserve for each stream. Revenue is gained by each station when it serves a customer, but the amount of revenue at the target queue depends on the source of the customer. We prove...

Q Q Ueuing Ueuing a Analysis Nalysis

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

A Mathematical Analysis on Linkage of a Network of Queues with Two Machines in a Flow Shop including Transportation Time

This paper represents linkage network of queues consisting of biserial and parallel servers linked to a common server in series with a flowshop scheduling system consisting of two machines. The significant transportation time of the jobs from one machine to another is also considered. Further, the completion time of jobs/customers (waiting time + service time) in the queue network is the set...

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