A note on some relations in the queue \(GI^ X/M/c\)
type: Item
instance of: scholarly article
title: A note on some relations in the queue \(GI^ X/M/c\)
zbMATH Open document ID: 0534.60091
DOI: 10.1016/0167-6377(84)90072-5
author: David D. Yao
author: J. G. C. Templeton
author: M. L. Chaudhry
published in: Operations Research Letters
publication date: 1984-01-01T00:00:00Z
review text: In the standard analysis of the \(GI^ X/M/c\) queue, one uses imbedded Markov chain techniques to determine the distribution of the number of customers immediately preceding an arrival. The above note gives simple expressions to find these distributions for random points in time, and for the time immediately following a departure.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 3848381
zbMATH Keywords: bulk queus
zbMATH Keywords: multiserver queues
zbMATH Keywords: batch arrivals
zbMATH Keywords: imbedded Markov chain
MaRDI profile type: Publication
full work available at URL: 0167-6377(84)90072-5
OpenAlex ID: W2040508696
cites work: Technical Note—Delays in Single-Server Queues with Batch Input
cites work: Q5185813
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cites work: Some numerical results for the queuing system \(GI^ X/M/1\)
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cites work: Q3857542
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cites work: Poisson Arrivals See Time Averages
description: scientific article; zbMATH DE number 3848381