A discrete-time queue with balking, reneging, and working vacations
type: Item
instance of: scholarly article
title: A discrete-time queue with balking, reneging, and working vacations
zbMATH Open document ID: 1322.60191
DOI: 10.1155/2014/358529
published in: International Journal of Stochastic Analysis
publication date: 2015-03-27T00:00:00Z
review text: Summary: This paper presents an analysis of balking and reneging in a finite-buffer discrete-time single server queue with single and multiple working vacations. An arriving customer may balk with a probability or renege after joining according to a geometric distribution. The server works with different service rates rather than completely stopping the service during a vacation period. The service times during a busy period, vacation period, and vacation times are assumed to be geometrically distributed. We find the explicit expressions for the stationary state probabilities. Various system performance measures and a cost model to determine the optimal service rates are presented. Moreover, some queueing models presented in the literature are derived as special cases of our model. Finally, the influence of various parameters on the performance characteristics is shown numerically.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 6420147
zbMATH Keywords: single server queue
zbMATH Keywords: balking
zbMATH Keywords: reneging
zbMATH Keywords: stationary state probabilities
zbMATH Keywords: performance measures
Wikidata QID: Q59047007
author: V. Goswami
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/358529
OpenAlex ID: W2101315929
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description: scientific article; zbMATH DE number 6420147