Analysis of Jackson networks with infinite supply and unreliable nodes
نویسندگان
چکیده
منابع مشابه
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 ty...
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This thesis contributes to a better understanding of the behavior of queueing networksthat cannot approach a classical equilibrium state.We consider Jackson networks with unreliable nodes which randomly break down andare under repair for a random time. Our networks are described by Markov processesthe states of which incorporate the availability status and the queue-lengths vect...
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Classical Jackson networks are a well established tool for the analysis of complex systems. In this paper we analyze Jackson networks with the additional features that (i) nodes may have an infinite supply of low priority work and (ii) nodes may be unstable in the sense that the queue length at these nodes grows beyond any bound. We provide the limiting distribution of the queue length distribu...
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We consider a Jackson network with two nodes, with no exogenous input, but instead an infinite supply of work at each of the nodes: whenever a node is empty, it processes a job from this infinite supply. We obtain an explicit expression for the steady state distribution of this system, as an infinite sum of product forms.
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We consider a Jackson network in which some of the nodes have an infinite supply of work: when all the customers queued at such a node have departed, the node will process a customer from this supply. Such nodes will be processing jobs all the time, so they will be fully utilized and experience a traffic intensity of 1. We calculate flow rates for such networks, obtain conditions for stability,...
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ژورنال
عنوان ژورنال: Queueing Systems
سال: 2017
ISSN: 0257-0130,1572-9443
DOI: 10.1007/s11134-017-9542-1