On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals

DOI10.1016/S0167-6377(01)00110-9zbMath1002.60085MaRDI QIDQ1611999

Nam K. Kim, Seok Ho Chang, Kyung-Chul Chae

Publication date: 28 August 2002

Published in: Operations Research Letters (Search for Journal in Brave)

zbMATH Keywords

discrete-time queuesdiscrete-time batch Markovian arrival process

Mathematics Subject Classification ID

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

Related Items (10)

Waiting time and queue length analysis of Markov-modulated fluid priority queues ⋮ Performance models for wireless channels ⋮ Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process ⋮ Performance analysis of a \(GI/D\)-\(MSP/1/\infty\) queueing system under different service phase initiations ⋮ Modelling and analysis of \(GI/BMSP/1\) queueing system ⋮ Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server's vacation ⋮ Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization] ⋮ A note on the distributional Little's law for discrete-time queues with D-MAP arrivals and its application ⋮ Queue-length, waiting-time and service batch size analysis for the discrete-time \(GI/D-MSP^{\text{(a,b)}}/1/\infty\) queueing system ⋮ Equivalences of Batch-Service Queues and Multi-Server Queues and Their Complete Simple Solutions in Terms of Roots

Cites Work

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• Performance evaluation of computer and communication systems. Joint tutorial papers of performance '93 and Sigmetrics '93
• Waiting times in discrete-time cyclic-service systems
• Statistical multiplexing of VBR sources: A matrix-analytic approach
• On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals
• The complete analysis of the discrete time finite DBMAP/G/1/N queue
• An arrival time approach to \(M/G/1\)-type queues with generalized vacations

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