Single retrial queues with service option on arrival
type: Item
instance of: scholarly article
title: Single retrial queues with service option on arrival
zbMATH Open document ID: 0894.90062
DOI: 10.1155/S1173912697000011
author: N. Cooke
author: Kambiz Farahmand
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 1998-03-04T00:00:00Z
full work available at URL: https://eudml.org/doc/119544
review text: Summary: We analyze a queueing system in which customers can call in to request service. A proportion, say \(1- p\) of them on their arrival test the availability of the server. 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. The remaining \(p\) proportion of the initial customers enter the orbit directly, without examining the state of the server. We consider two models characterized by the discipline governing the order of re-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: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 1123766
zbMATH Keywords: single line queue
zbMATH Keywords: repeated demands
zbMATH Keywords: waiting time
zbMATH Keywords: ergodic state
zbMATH Keywords: generating function
zbMATH Keywords: queueing system
zbMATH Keywords: orbit
MaRDI profile type: Publication
OpenAlex ID: W2006968158
description: scientific article; zbMATH DE number 1123766