On the Stationary Distribution of theGIX/MY/1 Queueing System

DOI10.1081/SAP-120020426zbMath1044.60088MaRDI QIDQ4804870

Demetrios Fakinos, Antonis Economou

Publication date: 28 April 2003

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

geometric distributionsAsymptoticsembedded Markov chainBoundsQueueingStationary distributionGI/M/1 queueBatch arrivalsBatch services

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (9)

On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\) ⋮ Computational analysis of \(GI^{[X}/D-MSP^{(a,b)}/1\) queueing system via \textit{RG}-factorization] ⋮ A Simple and Complete Solution to the Stationary Queue-Length Probabilities of a Bulk-Arrival Bulk-Service Queue ⋮ A difference equation approach for analysing a batch service queue with the batch renewal arrival process ⋮ The Effective Bandwidth Problem Revisited ⋮ Analysis of \(GI^{X}/ M(n)// N\) systems with stochastic customer acceptance policy ⋮ Analyzing state-dependent arrival in \(GI/\mathrm{BMSP}/1/\infty \) queues ⋮ Discrete-time queue with batch renewal input and random serving capacity rule: \(GI^X/ Geo^Y/1\) ⋮ A discrete-time \(\mathrm{GI}^X/\mathrm{Geo}^Y/1\) queue with early arrival system

Cites Work

• Unnamed Item
• A Geometric Product-Form Distribution for a Queueing Network by Non-Standard Batch Arrivals and Batch Transfers
• GEOMETRIC-FORM BOUNDS FOR THE GI^X/M/1 QUEUEING SYSTEM

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