A multiclass network with non-linear, non-convex, non-monotonic stability conditions

DOI10.1023/A:1019122115228zbMath0894.60082OpenAlexW1496551499MaRDI QIDQ1370364

Vincent Dumas

Publication date: 31 August 1998

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

Full work available at URL: https://doi.org/10.1023/a:1019122115228

zbMATH Keywords

monotonicityfluid modelmulticlass queueing networksconditions of stabilityreflected random walksergodic facesinstability cyclespreemptive resume priorities

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items

Heavy traffic limits for some queueing networks, Fluid model criterion for instability of re-entrant line with infinite supply of work, Prioritized customer order scheduling to maximize throughput, Workload minimization in re-entrant lines, Instability of SRPT, SERPT and SJF multiclass queueing networks, Necessary conditions for global stability of multiclass queueing networks, Instability of LAS multiclass queueing networks, Instability of LRTF multiclass queueing networks, Stochastic Monotonicity of Markovian Multiclass Queueing Networks, Stability and instability of a two-station queueing network, Study of the maximal throughput of multiclass queueing systems, A Paradox for Admission Control of Multiclass Queueing Network with Differentiated Service, Pathwise stability of multiclass queueing networks, A fluid limit model criterion for instability of multiclass queueing networks, Measurement and optimization of robust stability of multiclass queueing networks: applications in dynamic supply chains