Two Queues with Alternating Service

@inproceedings{Eisenberg1979TwoQW,
  title={Two Queues with Alternating Service},
  author={Martin Eisenberg},
  year={1979}
}
We consider a system consisting of two queues and a single server. The server always takes successive customers from different queues, if possible. The queues have Poisson arrivals and general service-time distributions.The mathematical description of this system leads to a single functional equation in two unknowns. By taking advantage of the analyticity of the unknown, functions, the functional equation is transformed into an integral equation on a complex domain, whose solution can be… CONTINUE READING