I am trying to model a queue with the following properties:
- A multi-server/channel queuing model.
- Arrivals occur via a Poisson process and the service times are exponentially distributed.
- After service a customer may elect to rejoin the queue with some probability (more specifically, a customer would have a normally distributed budget of time after which they would leave).
As best as I can understand the literature this would seem to be an M/M/c queue with feedback, but though I have found a little about it, I can't find comprehensible closed-form equations I can apply to my specific modelling problem.
Is what I'm trying to do generally possible? And, if so, could someone try and point me in a productive direction? Many thanks.