Analysis of Jackson networks with infinite supply and unreliable nodes

Jackson networks are versatile models for analyzing complex networks. In this paper we study generalized Jackson networks with single-server stations, where nodes may have an infinite supply of work. We allow simultaneous breakdown of servers and consider group repair strategies. We establish the existence of a steadystate distribution of the queue-length vector at stable nodes for different types of failure regimes. In steady state the distribution of the failure/repair regime and of the queuelength vector at stable nodes decouples in a product-formway.We provide closed-form solutions for the classical performance measures such as throughput or mean sojourn time at a station.