Investigation of the \(\mathrm{BMAP}/G/1\to\cdot/PH/1/M\) tandem queue with retrials and losses

DOI10.1016/j.apm.2010.01.003zbMath1201.90060OpenAlexW2069782832MaRDI QIDQ611519

Seog Ha Park, Gennady Tsarenkov, Alexander N. Dudin, Che Soong Kim, Valentina I. Klimenok

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.01.003

zbMATH Keywords

tandem queueretrial queuebatch Markovian arrival processdata-loss queueing networksphase type service

Mathematics Subject Classification ID

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

Related Items (10)

Tandem system with retrials and impatient customers ⋮ An explicit solution for a series and parallel queue with retrial, losses, and Bernoulli schedule ⋮ Approximation of throughput in tandem queues with multiple servers and blocking ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ An explicit solution for a tandem queue with retrials and losses ⋮ Simulation of railway marshalling yards based on four-phase queuing systems ⋮ Tandem queueing system with infinite and finite intermediate buffers and generalized phase-type service time distribution ⋮ Mathematical analysis of queue with phase service: an overview ⋮ A tandem \(GI/PH/1\to \bullet /PH/1/0\) queue with blocking ⋮ A Retrial Queueing System with Alternating Inter-retrial Time Distribution

Cites Work

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• Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
• A retrial BMAP/SM/1 system with linear repeated requests
• A retrial BMAP/PH/N system
• A tandem queue with blocking and Markovian arrival process
• A two-phase \(\text{BMAP}|\text{G}|1|N \rightarrow \text{PH}|1|M- 1\) system with blocking
• A matrix-geometric approximation for tandem queues with blocking and repeated attempts
• A classified bibliography of research on retrial queues: Progress in 1990--1999
• A server backup model with Markovian arrivals and phase type services
• A disaster queue with Markovian arrivals and impatient customers
• A bibliographical guide to the analysis of retrial queues through matrix analytic techniques
• TWO QUEUES IN TANDEM WITH RETRIAL CUSTOMERS
• New results on the single server queue with a batch markovian arrival process
• ANALYSIS OF A MULTI-SERVER QUEUE WITH MARKOVIAN ARRIVALS AND SYNCHRONOUS PHASE TYPE VACATIONS
• A versatile Markovian point process
• The N/G/1 queue and its detailed analysis
• Decomposition of general tandem queueing networks with MMPP input
• On a tandem G-network with blocking
• Retrial Queues
• A Survey of Machine Scheduling Problems with Blocking and No-Wait in Process

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