Necessary and sufficient conditions for strong comparability of multicomponent systems

DOI10.1007/s10626-012-0146-yzbMath1310.60109OpenAlexW1993619003MaRDI QIDQ457192

F. Javier López, Rosario Delgado

Publication date: 26 September 2014

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10626-012-0146-y

zbMATH Keywords

queueing networkscontinuous-time Markov chainsinteracting particle systemsstochastic comparison

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• Unnamed Item
• Monotonicity properties for multi-class queueing systems
• Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps
• Stochastic domination and Markovian couplings
• Markovian couplings staying in arbitrary subsets of the state space
• Stochastic Orderings for Markov Processes on Partially Ordered Spaces
• A Geometric Product-Form Distribution for a Queueing Network by Non-Standard Batch Arrivals and Batch Transfers
• Local conditions for the stochastic comparison of particle systems
• NECESSARY AND SUFFICIENT CONDITIONS FOR THE STOCHASTIC COMPARISON OF JACKSON NETWORKS
• On the stochastic domination for batch-arrival, batch-service and assemble-transfer queueing networks

This page was built for publication: Necessary and sufficient conditions for strong comparability of multicomponent systems