The \(BMAP/PH/N\) retrial queueing system operating in Markovian random environment

DOI10.1016/j.cor.2009.09.008zbMath1178.90097OpenAlexW2078917104MaRDI QIDQ2655636

Vilena V. Mushko, Che Soong Kim, Alexander N. Dudin, Valentina I. Klimenok

Publication date: 25 January 2010

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cor.2009.09.008

zbMATH Keywords

approximationergodicityrandom environmentstationary state distribution\(BMAP/PH/N\) retrial queueing model

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (15)

Nonidentifiability of the two-state BMAP ⋮ Single server retrial queue with group admission of customers ⋮ Algorithm of State Stationary Probability Computing for Continuous-Time Finite Markov Chain Modulated by Semi-Markov Process ⋮ Analysis of multiserver retrial queueing system with varying capacity and parameters ⋮ On the \(BMAP_1\), \(BMAP_2/PH/g\), \(c\) retrial queueing system ⋮ Estimating the throughput of wireless hybrid systems operating in a semi-Markov stochastic environment ⋮ Analysis of priority multi-server retrial queueing inventory systems with MAP arrivals and exponential services ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ The UnreliableM/M/1 Retrial Queue in a Random Environment ⋮ Priority retrial queueing model operating in random environment with varying number and reservation of servers ⋮ On the ergodicity of a class of level-dependent quasi-birth-and-death processes ⋮ Analysis of an \(\mathrm{MMAP}/\mathrm{Ph}_{1}, \mathrm{Ph}_{2}/N/\infty\) queueing system operating in a random environment ⋮ A Retrial Queueing System with Alternating Inter-retrial Time Distribution ⋮ Reliability of Two Communication Channels in a Random Environment ⋮ The \(MMAP/M/R/0\) queueing system with reservation of servers operating in a random environment

Cites Work

• Unnamed Item
• Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
• Erlang loss queueing system with batch arrivals operating in a random environment
• A retrial BMAP/PH/N system
• The BMAP\(/PH/1\) retrial queueing system operating in random environment
• A \(BMAP/SM/1\) queueing system with hybrid operation mechanism
• A bibliographical guide to the analysis of retrial queues through matrix analytic techniques
• A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs
• 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
• Retrial Queues
• A BMAP/PH/N SYSTEM WITH IMPATIENT REPEATED CALLS

This page was built for publication: The \(BMAP/PH/N\) retrial queueing system operating in Markovian random environment