DeepAI AI Chat
Log In Sign Up

On Age of Information for Discrete Time Status Updating System With Ber/G/1/1 Queues

by   Jixiang Zhang, et al.
Southeast University

In this paper, we consider the age of information (AoI) of a discrete time status updating system, focusing on finding the stationary AoI distribution assuming that the Ber/G/1/1 queue is used. Following the standard queueing theory, we show that by invoking a two-dimensional state vector which tracks the AoI and packet age in system simultaneously, the stationary AoI distribution can be derived by analyzing the steady state of the constituted two-dimensional stochastic process. We give the general formula of the AoI distribution and calculate the explicit expression when the service time is also geometrically distributed. The discrete and continuous AoI are compared, we depict the mean of discrete AoI and that of continuous time AoI for system with M/M/1/1 queue. Although the stationary AoI distribution of some continuous time single-server system has been determined before, in this paper, we shall prove that the standard queueing theory is still appliable to analyze the discrete AoI, which is even stronger than the proposed methods handling the continuous AoI.


page 1

page 2

page 3

page 4


On Discrete Age of Information of Infinite Size Status Updating System

In this paper, for the discrete time status updating system with infinit...

Discrete Packet Management: Analysis of Age of Information of Discrete Time Status Updating Systems

In this paper, we consider performing packet managements in discrete tim...

Age of Information for Discrete Time Queues

Age of information (AoI) is a time-evolving measure of information fresh...

Information Freshness for Timely Detection of Status Changes

In this paper, we aim to establish the connection between Age of Informa...

Age of Information in Relay-Assisted Status Updating Systems

In this paper we consider the age of information (AoI) of a status updat...

A Stochastic Hybrid Systems Approach to the Joint Distribution of Ages of Information in Networks

We study a general setting of status updating systems in which a set of ...

Age of information distribution under dynamic service preemption

Age of Information (AoI) has emerged as an important quality-of-service ...