Wide-sense regeneration for Harris recurrent Markov processes: an open problem

DOI10.1007/s11134-011-9238-xzbMath1275.60056OpenAlexW2018333978MaRDI QIDQ383197

Peter W. Glynn

Publication date: 25 November 2013

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-011-9238-x

zbMATH Keywords

Markov chainsrenewal theoryMarkov processesregenerationHarris recurrence

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Renewal theory (60K05)

Cites Work

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• Limit theorems for cumulative processes
• Some topics in regenerative steady-state simulation
• Necessary conditions in limit theorems for cumulative processes.
• On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
• One-Dependent Regenerative Processes and Queues in Continuous Time
• General Irreducible Markov Chains and Non-Negative Operators
• Brownian models of open queueing networks with homogeneous customer populations^∗
• A splitting technique for Harris recurrent Markov chains
• A New Approach to the Limit Theory of Recurrent Markov Chains
• On Harris Recurrence in Continuous Time
• Applied Probability and Queues
• [https://portal.mardi4nfdi.de/wiki/Publication:5564837 Mesure invariante sur les classes r�currentes des processus de Markov]

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