Analysis of stationary discrete-time \(GI/D-MSP/1\) queue with finite and infinite buffers

DOI10.1007/s10288-008-0088-2zbMath1188.90071OpenAlexW2029358090MaRDI QIDQ976978

U. C. Gupta, Sujit Kumar Samanta, Mohan L. Chaudhry

Publication date: 16 June 2010

Published in: 4OR (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10288-008-0088-2

zbMATH Keywords

waiting timediscrete-time Markovian service process (D-MSP)matrix-geometric methodsupplementary variable

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (7)

Analytic and computational analysis of the discrete-time \(GI/D\)-\(MSP/1\) queue using roots ⋮ Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations ⋮ A renewal generated geometric catastrophe model with 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 ⋮ Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization] ⋮ Queue-length, waiting-time and service batch size analysis for the discrete-time \(GI/D-MSP^{\text{(a,b)}}/1/\infty\) queueing system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary distribution of a finite queue with recurrent input and Markov service
• Departure process of the \(MAP/SM/1\) queue
• An SM\(_2/\text{MSP}/n/r\) system with random-service discipline and a common buffer
• Discrete time queues and matrix-analytic methods. (With comments and rejoinder)
• On the relations among the distributions at different epochs for discrete-time GI/Geom/1 queues
• Stationary characteristics of the \(SM/MSP/n/r\) queuing system
• Sojourn time distributions in the queue defined by a general QBD process
• Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach
• Regenerative Analysis and Steady State Distributions for Markov Chains
• Some steady-state distributions for theMAP /SM /1 queue
• Analysis of a finite-buffer bulk-service queue with discrete-Markovian arrival process: D-MAP/Ga,b/1/N
• The complete analysis of the discrete time finite DBMAP/G/1/N queue
• Performance analysis of the discrete-time GI/Geom/1/N queue
• Characterizing the BMAP/MAP/1 Departure Process via the ETAQA Truncation
• Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process

This page was built for publication: Analysis of stationary discrete-time \(GI/D-MSP/1\) queue with finite and infinite buffers