I am working on modeling traffic flow using queueing approach. For this, I have a network of queues (more than 20 queues) representing a highway network. The queues are partially M/M/1 and partially M/G/infinity. Now, the later queue type has state dependent service rate which is proceeded by M/M/1 queue.

My question is can anyone help me in determining the equilirium distribution of the M/G/infinity queue. I know how to determine the equilibrium distribution for the whole network when there is state dependet service rate. I would like to know for a single queue.

Thanks in advance,