Computational analysis of single-server bulk-arrival queues \(M^ X/G/1\)
type: Item
instance of: scholarly article
title: Computational analysis of single-server bulk-arrival queues \(M^ X/G/1\)
zbMATH Open document ID: 0639.90033
DOI: 10.1016/0305-0548(88)90041-X
author: G. Brière
author: M. L. Chaudhry
published in: Computers \& Operations Research
publication date: 1988-01-01T00:00:00Z
review text: This paper studies numerically the bulk-arrival queueing model \(M^ x/G/1\). For a special service-time distribution, an algorithm for the limiting distribution of the number in the system at random epoch is developed. This is also used to find the limiting distribution of the number in the system at pre-arrival and post-departure epochs. The mean and standard deviation of these distributions are also computed. Four cases of the service-time distribution are discussed: hyperexponential, deterministic, uniform and Erlang.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 4043579
zbMATH Keywords: bulk-arrival queueing model
zbMATH Keywords: limiting distribution
zbMATH Keywords: number in the system at random epoch
zbMATH Keywords: number in the system at pre-arrival and post-departure epochs
zbMATH Keywords: service-time distribution
MaRDI profile type: Publication
cites work: Q5185813
cites work: Iterative Algorithms for Bulk Arrival, Bulk Service Queues with Poisson and Non-Poisson Arrivals
cites work: Q3911628
cites work: Q3227941
full work available at URL: 0305-0548(88)90041-x
OpenAlex ID: W2001438815
description: scientific article; zbMATH DE number 4043579