Analysis of the BMAP/PH/\(N\) queueing system with backup servers

DOI10.1016/J.APM.2017.12.024zbMath1480.90104OpenAlexW2779557001MaRDI QIDQ2295246

Konstantin E. Samouylov, Alexander N. Dudin, Valentina I. Klimenok

Publication date: 12 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.apm.2017.12.024

zbMATH Keywords

optimizationstationary distributionMarkovian arrival processmulti-server queueing systembackup servers

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ A Multi-server Queueing System with Backup Servers ⋮ Unnamed Item ⋮ Retrial multi-server queuing system with \textit{PHF} service time distribution as a model of a channel with unreliable transmission of information

Cites Work

• Unnamed Item
• Unnamed Item
• Tandem system with retrials and impatient customers
• Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
• Managing performance and power consumption in a server farm
• A catastrophic queueing model with delayed action
• A reliability system under cumulative shocks governed by a BMAP
• Equilibrium pricing in an M/G/1 retrial queue with reserved idle time and setup time
• Retrial queue with discipline of adaptive permanent pooling
• A server backup model with Markovian arrivals and phase type services
• A tandem retrial queueing system with two Markovian flows and reservation of channels
• 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
• Performance Measures and Optimization of Queueing System with Reserve Server
• Input Modeling with Phase-Type Distributions and Markov Models

This page was built for publication: Analysis of the BMAP/PH/\(N\) queueing system with backup servers