A Geometric Product-Form Distribution for a Queueing Network by Non-Standard Batch Arrivals and Batch Transfers
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Publication:4374019
DOI10.2307/1428015zbMath0890.60086OpenAlexW2321254617MaRDI QIDQ4374019
Masakiyo Miyazawa, Peter G. Taylor
Publication date: 9 June 1998
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1428015
stochastic orderstationary distributionbatch arrivalgeometric distributionbatch serviceproduct-formMarkovian queueing networknegative customer
Queueing theory (aspects of probability theory) (60K25) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items (11)
On the Stationary Distribution of theGIX/MY/1 Queueing System ⋮ On the stochastic domination for batch-arrival, batch-service and assemble-transfer queueing networks ⋮ Stationary distribution of the closed queuing network with batch transitions of customers ⋮ Light tail asymptotics in multidimensional reflecting processes for queueing networks ⋮ Necessary and sufficient conditions for strong comparability of multicomponent systems ⋮ Analysis of closed unreliable queueing networks with batch service ⋮ Tail Asymptotics of the Stationary Distribution of a Two-Dimensional Reflecting Random Walk with Unbounded Upward Jumps ⋮ Characterization of the stationary distribution of the batch-transfer networks as a product of biased geometric distributions ⋮ Conditions for a product-form stationary distribution of one queueing system with batch transfers and a disaster flow ⋮ Markov network processes with string transitions ⋮ Quasi-reversibility and networks of queues with nonstandard batch movements.
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