Algorithmic analysis of the \(Geo/Geo/c\) retrial queue

DOI10.1016/j.ejor.2007.01.060zbMath1146.90018OpenAlexW2053257379MaRDI QIDQ2482783

Antonis Economou, Antonio Gómez-Corral, Jesus R. Artalejo

Publication date: 24 April 2008

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2007.01.060

zbMATH Keywords

queueingwaiting timestationary distributionbusy periodmatrix-analytic methodsretrials\(Geo/Geo/c\) queue

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (16)

A fuzzy based threshold policy for a single server retrial queue with vacations ⋮ \(M/M/1\) retrial queue with working vacations ⋮ An improved truncation technique to analyze a \(Geo/PH/1\) retrial queue with impatient customers ⋮ An efficient solution to a retrial queue for the performability evaluation of DHCP ⋮ A discrete-time \(Geo/G/1\) retrial queue with preemptive resume and collisions ⋮ Impact of priority sequencing decisions on on-time probability and expected tardiness of orders in make-to-order production systems with external due-dates ⋮ Vessels arrival process and its application to the SHIP/M/\(\infty\) queue ⋮ On the distribution of the number stranded in bulk-arrival, bulk-service queues of the M/G/1 form ⋮ A discrete time inventory system with postponed demands ⋮ Analysis of the successful and blocked events in the retrial queue ⋮ Solution for a retrial queueing problem in cellular networks with the fractional guard channel policy ⋮ A stochastic inventory system with postponed demands and infinite pool in discrete-time setup ⋮ Retrial queueing models in discrete time: a short survey of some late arrival models ⋮ Phase-type arrivals and impatient customers in multiserver queue with multiple working vacations ⋮ Performance analysis of a block-structured discrete-time retrial queue with state-dependent arrivals ⋮ Performance evaluation of a discrete-time \(Geo[X/G/1\) retrial queue with general retrial times]

Cites Work

• A discrete-time \(Geo/G/1\) retrial queue with general retrial times
• Algorithmic approximations for the busy period distribution of the \(M/M/c\) retrial queue
• Numerical investigation of a multiserver retrial model
• Discrete-time \(Geo_ 1\), \(Geo_ 2/G/1\) retrial queueing systems with two types of calls
• Steady-state queue size distribution of discrete-time \(PH/Geo/1\) retrial queues.
• \(Geo/G/1\) discrete time retrial queue with Bernoulli schedule
• Numerical calculation of the stationary distribution of the main multiserver retrial queue
• On the steady-state queue size distribution of the discrete-time \(\text{Geo}/G/1\) queue with repeated customers
• A classified bibliography of research on retrial queues: Progress in 1990--1999
• A discrete-time \(Geo^{[x}/g/1\) retrial queue with control of admission]
• A discrete-time \(\operatorname{Geo}/G/1\) retrial queue with the server subject to starting failures
• A bibliographical guide to the analysis of retrial queues through matrix analytic techniques
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Alternative Numerical Solutions of Stationary Queueing-Time Distributions in Discrete-Time Queues: GI/G/1
• Retrial Queues
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