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.
Original language | English |
---|---|
Pages (from-to) | 181-207 |
Number of pages | 27 |
Journal | Queueing Systems |
Volume | 87 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1 Oct 2017 |
Keywords
- Group breakdowns
- Group repairs
- Infinite supply
- Jackson networks