Multiregime queueing network with random staying time of different types of negative customers

This paper considers an open queueing network with different types of positive, negative customers and multiregime service strategies. Staying time of negative customers in each node is the random value having exponential distribution. Every node can operate in several regimes answering different degrees of their working capacity. The conditions of multiplicativity and an analytical view of stationary distribution of the network states probabilities are found.