Estimation of retrial rate in a retrial queue
type: Item
instance of: scholarly article
title: Estimation of retrial rate in a retrial queue
zbMATH Open document ID: 0836.60101
DOI: 10.1007/BF01150411
published in: Queueing Systems
publication date: 1996-04-22T00:00:00Z
review text: Describing the time evolution of a purely exponential retrial queue by a two-dimensional vector (number of call attempts since last departure, number of calls in retrial queue) yields a nonstandard Markovian description of the system's time evolution. The second coordinate of this process determines essentially the retrial rate, but is not accessible to observations. So the estimation of the retrial rate must be done indirectly. It suffices to count the external arrivals (primary calls) and the first coordinate of the new process to obtain a strongly consistent estimator of the arrival rate. The asymptotic variance of the estimator is computed.
reviewed by: Hans Daduna
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K30
Mathematics Subject Classification ID: 62M05
zbMATH DE Number: 792738
zbMATH Keywords: steady-state
zbMATH Keywords: retrial queue
zbMATH Keywords: estimation of the retrial rate
author: G. I. Falin
MaRDI profile type: Publication
cites work: A survey of retrial queues
cites work: Q3206104
cites work: On queueing systems by retrials
cites work: Q4772531
cites work: A survey on retrial queues
full work available at URL: https://doi.org/10.1007/bf01150411
OpenAlex ID: W1988951048
description: scientific article; zbMATH DE number 792738