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- Title
Analysis of Jackson networks with infinite supply and unreliable nodes.
- Authors
Sommer, Jennifer; Berkhout, Joost; Daduna, Hans; Heidergott, Bernd
- Abstract
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.
- Subjects
ELECTRIC breakdown; QUEUEING networks; INFINITY (Mathematics); INTERNET servers; TELECOMMUNICATION systems
- Publication
Queueing Systems, 2017, Vol 87, Issue 1/2, p181
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-017-9542-1