Age of Information of Parallel Server Systems with Energy Harvesting

Motivated by current communication networks in which users can choose different transmission channels to operate and also by the recent growth of renewable energy sources, we study the average Age of Information of a status update system that is formed by two parallel homogeneous servers and such th...

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Autor principal: Josu Doncel
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/5ca62478d8bc48f7ad3f27cfbae3dd6b
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spelling oai:doaj.org-article:5ca62478d8bc48f7ad3f27cfbae3dd6b2021-11-25T17:30:55ZAge of Information of Parallel Server Systems with Energy Harvesting10.3390/e231115491099-4300https://doaj.org/article/5ca62478d8bc48f7ad3f27cfbae3dd6b2021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1549https://doaj.org/toc/1099-4300Motivated by current communication networks in which users can choose different transmission channels to operate and also by the recent growth of renewable energy sources, we study the average Age of Information of a status update system that is formed by two parallel homogeneous servers and such that there is an energy source that feeds the system following a random process. An update, after getting service, is delivered to the monitor if there is energy in a battery. However, if the battery is empty, the status update is lost. We allow preemption of updates in service and we assume Poisson generation times of status updates and exponential service times. We show that the average Age of Information can be characterized by solving a system with eight linear equations. Then, we show that, when the arrival rate to both servers is large, the average Age of Information is one divided by the sum of the service rates of the servers. We also perform a numerical analysis to compare the performance of our model with that of a single server with energy harvesting and to study in detail the aforementioned convergence result.Josu DoncelMDPI AGarticleparallel serversenergy harvestingAge of InformationScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1549, p 1549 (2021)
institution DOAJ
collection DOAJ
language EN
topic parallel servers
energy harvesting
Age of Information
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
spellingShingle parallel servers
energy harvesting
Age of Information
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
Josu Doncel
Age of Information of Parallel Server Systems with Energy Harvesting
description Motivated by current communication networks in which users can choose different transmission channels to operate and also by the recent growth of renewable energy sources, we study the average Age of Information of a status update system that is formed by two parallel homogeneous servers and such that there is an energy source that feeds the system following a random process. An update, after getting service, is delivered to the monitor if there is energy in a battery. However, if the battery is empty, the status update is lost. We allow preemption of updates in service and we assume Poisson generation times of status updates and exponential service times. We show that the average Age of Information can be characterized by solving a system with eight linear equations. Then, we show that, when the arrival rate to both servers is large, the average Age of Information is one divided by the sum of the service rates of the servers. We also perform a numerical analysis to compare the performance of our model with that of a single server with energy harvesting and to study in detail the aforementioned convergence result.
format article
author Josu Doncel
author_facet Josu Doncel
author_sort Josu Doncel
title Age of Information of Parallel Server Systems with Energy Harvesting
title_short Age of Information of Parallel Server Systems with Energy Harvesting
title_full Age of Information of Parallel Server Systems with Energy Harvesting
title_fullStr Age of Information of Parallel Server Systems with Energy Harvesting
title_full_unstemmed Age of Information of Parallel Server Systems with Energy Harvesting
title_sort age of information of parallel server systems with energy harvesting
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/5ca62478d8bc48f7ad3f27cfbae3dd6b
work_keys_str_mv AT josudoncel ageofinformationofparallelserversystemswithenergyharvesting
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