Control Schemes in Queueing Networks

We consider open and closed queueing networks consisting of a set of controlled service centers. The controlled service center contains an exponential server, a queue of delayed customers and a control switch between them. The switch position is a function (control function) of the service center state which provides a means of controlling the service rate by admitting or not users into the server's queue. We give the stationary probability distribution for a broad class of control functions. An application of these results to the expected queue lengths and the expected waiting times in a two-server closed network is also considered.

• 저널Management Science · 22(7) · 810–822
• 토픽Advanced Queuing Theory Analysis · Management Information Systems
• DOI10.1287/mnsc.22.7.810
• 저자Alexandre Brandwajn