Multiple class G-networks with iterated deletions

We present a new type of multiclass generalized networks of queues with a steady-state product form solution. At its arrival into a queue, a negative customer (or a signal) starts an iteration. At each step of the iteration, a customer is deleted according to a probability which may depend on the type of customer. The iteration stops when the deletion fails. We study networks with multiple classes of positive customers, one class of signals and three service disciplines: FIFO, LIFO/PR and PS.