A new formula for the busy period of a non-empty multiserver queueing system
type: Item
instance of: scholarly article
title: A new formula for the busy period of a non-empty multiserver queueing system
zbMATH Open document ID: 1029.60073
DOI: 10.1016/S0096-3003(02)00371-5
published in: Applied Mathematics and Computation
publication date: 2003-07-30T00:00:00Z
review text: The paper presents a simple approach to obtain the busy period density function by taking an arbitrary number of customers present in the system initially. The exact distribution for the busy period density of M/M/\(c/\infty\) queue is given, and the density function finding its moments of any order is presented, too.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1957202
zbMATH Keywords: queueing system
zbMATH Keywords: busy period
zbMATH Keywords: recurrence relation
zbMATH Keywords: M/M/\(c/\infty\)-system
author: A. M. K. Tarabia
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00371-5
OpenAlex ID: W2011083477
description: scientific article; zbMATH DE number 1957202