On the $$M_t/M_t/K_t+M_t$$ queue in heavy traffic

On the $$M_t/M_t/K_t+M_t$$ queue in heavy traffic

The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results...

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Veröffentlicht in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2013-08, Vol.78 (1), p.119-148
1. Verfasser: Puhalskii, Anatolii A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Computational fluid dynamics
Customers
Mathematical analysis
Queues
Steady state
Traffic engineering
Traffic flow
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Beschreibung
Zusammenfassung:The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results concern limits for general time-dependent queues and for time-homogeneous queues in steady state.
ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-013-0435-8