Dependence in Lag for Markov Chains on Partially Ordered State Spaces with Applications to Degradable Networks

DOI10.1080/15326340701646007zbMath1159.60031OpenAlexW2165818025MaRDI QIDQ3548761

Rafał Kulik

Publication date: 17 December 2008

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340701646007

zbMATH Keywords

supermodular functionsJackson networksdependence orderingLorentz inequalitydependence in lagnetworks with breakdowns and repairs

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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• Lagged queue-length correlations in two-node networks
• Monotonicity of Positive Dependence with Time for Stationary Reversible Markov Chains
• DEPENDENCE ORDERING FOR QUEUING NETWORKS WITH BREAKDOWN AND REPAIR
• A monotonicity result for the workload in Markov-modulated queues
• Ross-Type Conjectures on Monotonicity of Queues
• MONOTONICITY IN LAG FOR NONMONOTONE MARKOV CHAINS
• A NOTE ON THE INCREASING DIRECTIONALLY CONCAVE MONOTONICITY IN QUEUES
• Availability Formulas and Performance Measures for Separable Degradable Networks
• The serial correlation coefficients of waiting times in a stationary single server queue
• Stochastically monotone Markov Chains
• Dependence ordering for Markov processes on partially ordered spaces

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