Maximum queue lengths during a fixed time interval in the \(M/M/c\) retrial queue

DOI10.1016/j.amc.2014.02.074zbMath1334.90036OpenAlexW2083000330WikidataQ58421736 ScholiaQ58421736MaRDI QIDQ272383

F. Blanchet-Sadri, M. Dambrine

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.074

zbMATH Keywords

retrial queuesplitting methodabsorbing Markov chaineigenvalues/eigenvectorsmaximum queue length

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (2)

THE RUNNING MAXIMUM OF A LEVEL-DEPENDENT QUASI-BIRTH-DEATH PROCESS ⋮ A survey on queues in machining system: Progress from 2010 to 2017

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• State-dependent M/M/\(c/c + r\) retrial queues with Bernoulli abandonment
• Calculation of probability characteristics of a multiline system with repeated calls
• Applications of maximum queue lengths to call center management
• Numerical investigation of a multiserver retrial model
• The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems.
• Markov models with retrials: the calculation of stationary performance measures based on the concept of truncation.
• Numerical calculation of the stationary distribution of the main multiserver retrial queue
• The impact of retrials on call center performance
• A matrix continued fraction approach to multiserver retrial queues
• M/M/3/3 and M/M/4/4 retrial queues
• COMPUTATION OF STEADY-STATE PROBABILITIES FOR RESOURCE-SHARING CALL-CENTER QUEUEING SYSTEMS
• Analyzing Markov Chains using Kronecker Products
• Algorithmic Analysis of the Maximum Queue Length in a Busy Period for the M/M/c Retrial Queue
• An upper bound on the performance of queues with returning customers
• On the Product of Semi-Groups of Operators
• Retrial Queueing Systems
• Matrix Analysis
• Extended continued fractions, recurrence relations and two-dimensional Markov processes
• On Logarithmic Norms
• Approximations to Stochastic Service Systems, with an Application to a Retrial Model
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
• Retrial Queues
• MAXIMUM POPULATION SIZES IN HOST–PARASITOID MODELS

This page was built for publication: Maximum queue lengths during a fixed time interval in the \(M/M/c\) retrial queue