Exponential queueing network with dependent discipline, negative requests, and variable request types

An open exponential queueing network with negative requests (G-network) is considered. A set of random parameters is given for each request entering the network: its route along the network, governing the units sequence passed by the request, the route length, request body and its servicing duration of every route stage. The multidimensional stationary distribution of state probabilities of the considered network is represented in the multiplicative form.