Analysis of Jackson networks with infinite supply and unreliable nodes

作者:Sommer Jennifer; Berkhout Joost; Daduna Hans; Heidergott Bernd*
来源:Queueing Systems, 2017, 87(1-2): 181-207.
DOI:10.1007/s11134-017-9542-1

摘要

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.

  • 出版日期2017-10