Use of a gate to reduce the variance of delays in queues with random service

@inproceedings{Coleman1973UseOA,
  title={Use of a gate to reduce the variance of delays in queues with random service},
  author={Robert Denton Coleman},
  year={1973}
}
We consider an N-server queuing system with Poisson arrivals and exponential service, in which arriving customers must pass through a gate into a waiting room before becoming eligible for service. Customers who find the gate closed wait outside until the gate opens; customers inside the waiting room are served at random. When the last customer inside acquires a server, the gate admits all those outside and then closes again. If no customer is waiting outside when the gate opens, the gate… CONTINUE READING