A tandem queueing system with task-splitting, feedback, and blocking
type: Item
instance of: scholarly article
title: A tandem queueing system with task-splitting, feedback, and blocking
zbMATH Open document ID: 1154.90345
DOI: 10.1504/IJOR.2007.012461
author: Aliakbar Montazer Haghighi
author: Dimitar P. Mishev
published in: International Journal of Operational Research
publication date: 2009-02-05T00:00:00Z
review text: Summary: A novel two-station single-processing tandem queueing system with task splitting, feedback, and blocking is considered. Two cases are analysed: \(\bullet\) a finite buffer at each station, \(\bullet\) only the intermediate buffer finite. After completing processing at each station, a task may leave the system, join the other station, go for split, go to the other station or return to its own station. The steady-state joint distribution of the queue lengths that will lead to the moments of the queue lengths, mean waiting time, probabilities of each station and the system being busy and being idle are obtained through algorithms. A numerical example is provided.
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 5502949
zbMATH Keywords: finite/infinite buffers
zbMATH Keywords: algorithm
zbMATH Keywords: steady-state
MaRDI profile type: Publication
full work available at URL: ijor.2007.012461
OpenAlex ID: W2150388638
description: scientific article; zbMATH DE number 5502949