On the steady-state queue size distribution of the discrete-time \(\text{Geo}/G/1\) queue with repeated customers
type: Item
instance of: scholarly article
title: On the steady-state queue size distribution of the discrete-time \(\text{Geo}/G/1\) queue with repeated customers
zbMATH Open document ID: 0840.60085
DOI: 10.1007/BF01158581
author: Tao Yang
author: Hui Li
published in: Queueing Systems
publication date: 1996-06-30T00:00:00Z
review text: The author investigates the steady-state queue-size distribution of the discrete-time \(\text{Geo}/G/1\) retrial queue. He derives analytic formulas for the generating functions of the joint distribution of the number of customers in the system and the residual service times and shows that the stochastic decomposition law holds. He develops recursive formulas for the steady-state probabilities and illustrates their use through numerical examples. This model has applications in the slotted non-persistent CSMA when the traffic load is relatively light and the collision probability is negligible small.
reviewed by: P. R. Parthasarathy
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 851511
zbMATH Keywords: steady-state queue-size distribution
zbMATH Keywords: generating functions
zbMATH Keywords: stochastic decomposition
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Waiting times in discrete-time cyclic-service systems
cites work: The M/G/1 retrial queue with Bernoulli schedule
cites work: New results in the theory of repeated orders queueing systems
cites work: Aggregate arrival of customers in a one-line system with repeated calls
cites work: On the waiting-time process in a single-line queue with repeated calls
cites work: A survey of retrial queues
cites work: Q3326556
cites work: A Service System with Unfilled Requests Repeated
cites work: Q3231324
cites work: On queueing systems by retrials
cites work: Expected waiting times in a multiclass batch arrival retrial queue
cites work: Q3996925
cites work: A survey on retrial queues
cites work: The \(M/G/1\) retrial queue with the server subject to starting failures
cites work: An approximation method for the \(M/G/1\) retrial queue with general retrial times
description: scientific article; zbMATH DE number 851511