Analysis of unreliable BMAP/PH/N type queue with Markovian flow of breakdowns

DOI10.1016/J.AMC.2017.06.035zbMath1426.90072OpenAlexW2738113749MaRDI QIDQ1740091

Alexander N. Dudin, Che Soong Kim, Valentina I. Klimenok

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.035

zbMATH Keywords

breakdownsbatch Markov arrival processphase-type serviceunreliable queueing systemrepair time distribution

Mathematics Subject Classification ID

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

Related Items (9)

Queues with Markovian arrivals, phase type services, breakdowns, and repairs ⋮ Two types of single-server queueing systems with threshold-based renovation mechanism ⋮ Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli schedule vacation, Bernoulli feedback and renege of customers ⋮ A \(BMAP/BMSP/1\) queue with Markov dependent arrival and Markov dependent service batches ⋮ Impact of the degradation in service rate in \({MAP}/{PH}/1\) queueing system with phase type vacations, breakdowns, and repairs ⋮ Analysis of an aggregate loss model in a Markov renewal regime ⋮ Retrial multi-server queuing system with \textit{PHF} service time distribution as a model of a channel with unreliable transmission of information ⋮ From exhaustive vacation queues to preemptive priority queues with general interarrival times ⋮ The General Renovation as the Active Queue Management Mechanism. Some Aspects and Results

Cites Work

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• Priority retrial queueing model operating in random environment with varying number and reservation of servers
• Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
• A retrial BMAP/PH/N system
• Multi-server machine repair problems under a \((V,R)\) synchronous single vacation policy
• Reliability-based measures for a retrial system with mixed standby components
• Lack of invariant property of the Erlang loss model in case of MAP input
• The BMAP/PH/N retrial queue with Markovian flow of breakdowns
• New results on the single server queue with a batch markovian arrival process
• Independent markov processes in parallel
• Algorithms for the multi-server queue with phase type service
• ABMAP/PH/NQueue with Negative Customers and Partial Protection of Service
• A Many-Server Queue with Service Interruptions

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