The queue length in an \(M/G/1\) batch arrival retrial queue

DOI10.1007/S11134-011-9268-4zbMath1275.60092OpenAlexW2000592081MaRDI QIDQ383224

Kouji Yamamuro

Publication date: 25 November 2013

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-011-9268-4

zbMATH Keywords

infinitely divisible distributionretrial queuesubexponential distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Queueing theory (aspects of probability theory) (60K25)

Related Items (6)

Analysis of a batch arrival retrial queue with two-phase services, feedback and admission ⋮ Refined tail asymptotic properties for the \(M^X/G/1\) retrial queue ⋮ Retrial queues with constant retrial times ⋮ A survey of retrial queueing systems ⋮ Analysis of the \(\mathrm{M}^X/\mathrm{G}/1\) retrial queue ⋮ Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of retrial queues
• Convolution tails, product tails and domains of attraction
• A survey on retrial queues
• Subexponential distributions and characterizations of related classes
• Asymptotic ordering of distribution functions and convolution semigroups
• Sampling at subexponential times, with queueing applications
• Tail asymptotics for the queue length in an M/G/1 retrial queue
• Infinite divisibility and generalized subexponentiality
• Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time
• Constructive Computation in Stochastic Models with Applications
• Expected waiting times in a multiclass batch arrival retrial queue
• Exponential expansion for the tail of the waiting-time probability in the single-server queue with batch arrivals
• On a multiclass batch arrival retrial queue
• On a single-server queue with group arrivals
• Subexponentiality and infinite divisibility
• Applied Probability and Queues
• A relation between stationary queue and waiting time distributions

This page was built for publication: The queue length in an \(M/G/1\) batch arrival retrial queue