The non-ergodic Jackson network

DOI10.2307/3213702zbMath0562.60096OpenAlexW2050667662WikidataQ56699236 ScholiaQ56699236MaRDI QIDQ3675300

Jonathan B. Goodman, William A. Massey

Publication date: 1984

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213702

zbMATH Keywords

large time behaviourJackson networkergodic resultsmaximal subnetwork that attains steady state

Mathematics Subject Classification ID

Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Limit theorems in probability theory (60F99)

Related Items (15)

Accuracy of Estimation of the Vector of Queue Lengths for Open Jackson Networks ⋮ Analysis of Jackson networks with infinite supply and unreliable nodes ⋮ Fluid Models of Parallel Service Systems Under FCFS ⋮ Dynamics of finite inhomogeneous particle systems with exclusion interaction ⋮ Diffusion parameters of flows in stable multi-class queueing networks ⋮ Local stability in a transient Markov chain ⋮ Dynamic server allocation for unstable queueing networks with flexible servers ⋮ Mathematical theory of queueing networks ⋮ Asymptotics of overflow probabilities in Jackson networks. ⋮ On geometric and algebraic transience for block-structured Markov chains ⋮ On nonergodicity for nonparametric autoregressive models ⋮ \(L^2\)-decay rate for non-ergodic Jackson network ⋮ A TWO-NODE JACKSON NETWORK WITH INFINITE SUPPLY OF WORK ⋮ Jackson networks with unlimited supply of work ⋮ Perfect sampling of Jackson queueing networks

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