Approximation of multiserver retrial queues by means of generalized truncated models
type: Item
instance of: scholarly article
title: Approximation of multiserver retrial queues by means of generalized truncated models
zbMATH Open document ID: 1015.60085
DOI: 10.1007/BF02578940
author: V. V. Anisimov
author: Jesus R. Artalejo
published in: Top
publication date: 2003-07-08T00:00:00Z
review text: A methodology for investigating the convergence of the stationary distribution of a generalized truncated model to the stationary distribution of the original multiserver retrial queue of type M/M/\(c\) is developed. Various truncated models are discussed. Stochastic comparison technique and exponentiality are used to develop an underlying synchronization procedure.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1805849
zbMATH Keywords: retrial queues
zbMATH Keywords: truncated model
zbMATH Keywords: approximation
zbMATH Keywords: synchronization
zbMATH Keywords: convergence
reviewed by: Evsei Morozov
MaRDI profile type: Publication
cites work: Switching stochastic models and applications in retrial queues
cites work: Analysis of Markov multiserver retrial queues with negative arrivals
cites work: Stationary analysis of the characteristics of the \(M/M/2\) queue with constant repeated attempts
cites work: A classified bibliography of research on retrial queues: Progress in 1990--1999
cites work: Steady state solution of a single-server queue with linear repeated requests
cites work: Numerical calculation of the stationary distribution of the main multiserver retrial queue
cites work: \(\text{MAP}_1, \text{MAP}_2/\text{M/}c\) retrial queue with guard channels and its application to cellular networks
cites work: Q4109064
cites work: Calculation of probability characteristics of a multiline system with repeated calls
cites work: Retrial Queues
cites work: The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems.
cites work: Q4197095
cites work: Steady-state queue size distribution of discrete-time \(PH/Geo/1\) retrial queues.
cites work: Numerical investigation of a multiserver retrial model
cites work: Extended continued fractions, recurrence relations and two-dimensional Markov processes
cites work: Markov models with retrials: the calculation of stationary performance measures based on the concept of truncation.
cites work: Q3321201
description: scientific article; zbMATH DE number 1805849