Equilibrium probability calculations for a discrete-time bulk queue model

DOI10.1007/BF01159401zbMath0849.90067OpenAlexW2018221774MaRDI QIDQ1919831

L. Lorne Campbell, Y. Quennel Zhao

Publication date: 18 September 1996

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01159401

zbMATH Keywords

polynomial approximationgenerating function\(D^ X/ D^ m/1\) queueing modelequilibrium probabilities of the number of customers in the system

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (11)

Explicit Solution of a Quorum Queueing System ⋮ Analysis of \(D\)-\(BMAP/G/1\) queueing system under \(N\)-policy and its cost optimization ⋮ Delay analysis of two batch-service queueing models with batch arrivals: \(Geo^{X }/Geo^{c}/1\) ⋮ A complete and simple solution for a discrete-time multi-server queue with bulk arrivals and deterministic service times. ⋮ Tail distribution of the delay in a general batch-service queueing model ⋮ A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: \( GI^{[X}/C\)-\( MSP /1/\infty \)] ⋮ On the application of Rouché's theorem in queueing theory ⋮ One-dimensional service networks and batch service queues ⋮ Tail asymptotics for a state-dependent bulk matching queueing system with impatient customers ⋮ Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots ⋮ Analytic computation schemes for the discrete-time bulk service queue

Cites Work

• Characterization of the traffic on high-speed token-ring networks
• Performance analysis of a multibeam packet satellite system using random access techniques
• An Elementary Queueing Problem

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