Journal
QUEUEING SYSTEMS
Volume 87, Issue 1-2, Pages 181-207Publisher
SPRINGER
DOI: 10.1007/s11134-017-9542-1
Keywords
Jackson networks; Group breakdowns; Group repairs; Infinite supply
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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 steady-state 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 queue-length vector at stable nodes decouples in a product-form way. We provide closed-form solutions for the classical performance measures such as throughput or mean sojourn time at a station.
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