The Mk/G/∞ batch arrival queue by heterogeneous dependent demands

DOI10.2307/3215162zbMath0821.60089OpenAlexW2330270157MaRDI QIDQ4322037

Gennadij Falin

Publication date: 18 September 1995

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215162

zbMATH Keywords

stationary distributionsteady-state distributiontransient distributioninsensitivity properties

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

INFINITE-SERVER QUEUES WITH BATCH ARRIVALS AND DEPENDENT SERVICE TIMES ⋮ Two-parameter heavy-traffic limits for infinite-server queues with dependent service times ⋮ An Infinite-Server Queueing $$MMAP_k|G_k|\infty $$ Model in Semi-Markov Random Environment Subject to Catastrophes ⋮ A functional law of the iterated logarithm for multi-class queues with batch arrivals ⋮ On the distributions of infinite server queues with batch arrivals

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