Retrial queues with recurrent demand option
type: Item
instance of: scholarly article
title: Retrial queues with recurrent demand option
zbMATH Open document ID: 0858.60078
DOI: 10.1155/S1048953396000202
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1997-03-18T00:00:00Z
full work available at URL: https://eudml.org/doc/47610
review text: Summary: The object of this paper is to analyze the model of a queueing system in which customers can call it only to request service: if the server is free, the customer enters service immediately. Otherwise, if the service system is occupied, the customer joins a source of unsatisfied customers called the orbit. On completion of each service the recipient of service has an option of leaving the system completely with probability \(1-p\) or returning to the orbit with probability \(p\). We consider two models characterized by the discipline governing the order of requests for service from the orbit. First, all the customers from the orbit apply at a fixed rate. Secondly, customers from the orbit are discouraged and reduce their rate of demand as more customers join the orbit. The arrival at and the demands from the orbit are both assumed to be according to the Poisson process. However, the service times for both primary customers and customers from the orbit are assumed to have a general distribution. We calculate several characteristic quantities of these queueing systems.
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 938922
zbMATH Keywords: single line queue
zbMATH Keywords: repeated demands
zbMATH Keywords: orbit size
zbMATH Keywords: waiting time
zbMATH Keywords: ergodic state
zbMATH Keywords: generating function
zbMATH Keywords: retrial queue
zbMATH Keywords: recurrent customer
author: Kambiz Farahmand
author: Norman H. Smith
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 938922