State-dependent M/M/\(c/c + r\) retrial queues with Bernoulli abandonment

DOI10.3934/jimo.2010.6.517zbMath1230.68058OpenAlexW2050845512MaRDI QIDQ654942

Shoji Kasahara, Hiroyuki Masuyama, Tuan Phung-Duc, Yutaka Takahashi

Publication date: 28 December 2011

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2010.6.517

zbMATH Keywords

hypergeometric functionscontinued fractionsthree-term recurrence relationsBernoulli abandonmentmultiserver retrial queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (14)

Markovian retrial queues with two way communication ⋮ Maximum queue lengths during a fixed time interval in the \(M/M/c\) retrial queue ⋮ Multidimensional central limit theorem of the multiclass \(M/M/1/1\) retrial queue ⋮ Retrial queues with balanced call blending: analysis of single-server and multiserver model ⋮ Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues ⋮ On level-dependent QBD processes with explosive state space ⋮ Single server retrial queues with setup time ⋮ Asymptotic analysis for Markovian queues with two types of nonpersistent retrial customers ⋮ On symbolic RG factorization of quasi-birth-and-death processes ⋮ Analysis of tandem retrial queue with common orbit and MMPP incoming flow ⋮ Algorithmic approach to Markovian multi-server retrial queues with vacations ⋮ A matrix continued fraction approach to multiserver retrial queues ⋮ Multiserver queue with guard channel for priority and retrial customers ⋮ Two-way communication retrial queues with multiple types of outgoing calls

This page was built for publication: State-dependent M/M/\(c/c + r\) retrial queues with Bernoulli abandonment