Asymptotic distribution of the queue length in a queueing system
type: Item
instance of: scholarly article
title: Asymptotic distribution of the queue length in a queueing system
zbMATH Open document ID: 0605.60085
author: A. V. Smorodinskij
published in: Automation and Remote Control
publication date: 1986-01-01T00:00:00Z
review text: A single-server queueing system is considered that has a finite source of calls. The possibility is examined of approximating the normalized queue length by a diffusion process in the case of heavy load. A theorem is formulated and proved on the convergence of a sequence of stationary distributions of processes describing the queue length dynamics to the stationary distribution of a limit process when the source of calls increases infinitely. An example of design of a specific system is presented.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 3978094
zbMATH Keywords: single-server queueing system
zbMATH Keywords: queue length
zbMATH Keywords: stationary distribution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3978094