Transience of Multiclass Queueing Networks Via Fluid Limit Models

Transience of Multiclass Queueing Networks Via Fluid Limit Models

This paper treats transience for queueing network models by considering an associated fluid limit model. If starting from any initial condition the fluid limit model explodes at a linear rate, then the associated queueing network with i.i.d. service times and a renewal arrival process explodes faste...

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Veröffentlicht in:The Annals of applied probability 1995-11, Vol.5 (4), p.946-957
1. Verfasser: Meyn, Sean P.
Format: Artikel
Sprache:eng
Schlagworte:
60K20
60K25
90B25
90B35
Approximation
Automats
Differential equations
Ergodic theory
Markov chains
Mathematical vectors
Network servers
Queueing networks
Random variables
Scheduling
stability
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Beschreibung
Zusammenfassung:This paper treats transience for queueing network models by considering an associated fluid limit model. If starting from any initial condition the fluid limit model explodes at a linear rate, then the associated queueing network with i.i.d. service times and a renewal arrival process explodes faster than any fractional power.
ISSN:1050-5164
2168-8737
DOI:10.1214/aoap/1177004601