First-passage-time and busy-period distributions of discrete-time Markovian queues: \(\text{Geom}(n)/\text{Geom}(n)/1/N\)
type: Item
instance of: scholarly article
title: First-passage-time and busy-period distributions of discrete-time Markovian queues: \(\text{Geom}(n)/\text{Geom}(n)/1/N\)
zbMATH Open document ID: 0818.60087
DOI: 10.1007/BF01158772
author: M. L. Chaudhry
author: Yiqiang Q. Zhao
published in: Queueing Systems
publication date: 1995-08-17T00:00:00Z
review text: The authors consider discrete-time queueing models with finite waiting room. The interarrival- and service-times are described by independent random variables, transitions are dependent on the number of customers in the system. The authors investigate first passage time distributions with respect to the number of customers and related busy time distributions. They give a representation of these distributions in terms of the roots of certain determinants. They demonstrate the usefulness of their results by numerical and graphical results. Extensions are given to continuous- time models.
reviewed by: Helmut Schellhaas
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 698868
zbMATH Keywords: discrete-time queueing models
zbMATH Keywords: first passage time distributions
zbMATH Keywords: busy time distributions
zbMATH Keywords: numerical and graphical results
describes a project that uses: QROOT
MaRDI profile type: Publication
cites work: Q5332626
cites work: Q3326556
cites work: On the transient behavior of a finite birth-death process with an application
cites work: Q3293721
full work available at URL: https://doi.org/10.1007/bf01158772
OpenAlex ID: W2058366425
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description: scientific article; zbMATH DE number 698868