Algorithm of Balance Equations Decomposition and Investigation of Poisson Flows in Jackson Networks

DOI10.1007/978-3-319-68069-9_27zbMath1397.90388OpenAlexW2760459039MaRDI QIDQ4685104

G. Sh. Tsitsiashvili

Publication date: 5 October 2018

Published in: Information Technologies and Mathematical Modelling. Queueing Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-68069-9_27

zbMATH Keywords

directed graphJackson networkclass of cyclic equivalent nodesnon-return set of nodessystem of balance equations

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Deterministic network models in operations research (90B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interconnections of Markov chains and quasi-reversible queuing networks
• Poisson flows in single class open networks of quasireversible queues
• On the reversibility of queueing networks
• Decomposition and Customer Streams of Feedback Networks of Queues in Equilibrium
• Sojourn times and the overtaking condition in Jacksonian networks
• Filtering formulas and the ./M/1 queue in a quasireversible network
• On the equivalence of flows in networks of queues
• Flows in Queueing Networks: A Martingale Approach
• On Poisson traffic processes in discrete-state Markovian systems by applications to queueing theory
• Characterizations of Poisson traffic streams in Jackson queueing networks
• The Output of a Queuing System
• Networks of Waiting Lines
• Letter to the Editor—The Dependence of Sojourn Times in Tandem M/M/S Queues

This page was built for publication: Algorithm of Balance Equations Decomposition and Investigation of Poisson Flows in Jackson Networks