A queueing network with random-delay signals

A queueing network with an input flow of signals, along with a flow of ordinary (positive) customers, at its nodes is studied. A random time is required to activate a signal upon arrival at a node. The stationary state probability distribution for a network with single-server nodes and exponential service time distribution is derived in product form. A product-form solution for a symmetric network with Markov service at nodes is also derived.