Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown
type: Item
instance of: scholarly article
title: Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown
zbMATH Open document ID: 1390.90250
DOI: 10.1504/IJMOR.2015.071276
author: P. Rajadurai
author: V. M. Chandrasekaran
author: M. C. Saravanarajan
published in: International Journal of Mathematics in Operational Research
publication date: 2018-06-13T00:00:00Z
review text: Summary: In steady state, a batch arrival feedback retrial queue with negative customers has been discussed. Any arriving batch of positive customers finds the server is free, one of the customers from the batch enters into the service area and the rest of them join into the orbit/retrial group, where the server provides two essential phases of service to each positive customer. The negative customer, arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters into the orbit with probability \(\theta\) or leaves the system with probability 1-\(\theta\). The busy server may breakdown at any instant and the service channel will fail for a short interval of time. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Numerical illustrations are analysed to see the effect of system parameters.
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 6887256
zbMATH Keywords: feedback
zbMATH Keywords: negative customers
zbMATH Keywords: Bernoulli vacation
zbMATH Keywords: breakdown
MaRDI profile type: Publication
full work available at URL: ijmor.2015.071276
OpenAlex ID: W2139045407
description: scientific article; zbMATH DE number 6887256