Distribution of the number of customers served during a busy period in a discrete time Geom/Geom/1 queue
type: Item
instance of: scholarly article
title: Distribution of the number of customers served during a busy period in a discrete time Geom/Geom/1 queue
zbMATH Open document ID: 1032.60087
author: U. C. Gupta
author: V. Goswami
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2004-03-07T00:00:00Z
review text: A discrete time single server queue, where input follows a Bernoulli distribution (so interarrival times have geometrical distribution) and service time is geometrical, is considered. Moreover the arrival customer is blocked until the (predefined) slot terminates. A known functional equation for the moment generating function is used to obtain both distribution and first moments of the number of customers served during busy period in an explicit form. The continuous time case is studied as the limit of the above model as length of the slot goes to zero.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1874266
zbMATH Keywords: discrete time queue
zbMATH Keywords: busy period
zbMATH Keywords: geometrical distribution
zbMATH Keywords: moment generating function
reviewed by: Evsei Morozov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1874266