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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Detalles Bibliográficos
Autor: Doncel Vicente, Josu
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/54171
Acceso en línea:http://hdl.handle.net/10810/54171
Access Level:acceso abierto
Palabra clave:parallel servers
energy harvesting
Age of Information
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spelling Age of Information of Parallel Server Systems with Energy HarvestingDoncel Vicente, Josuparallel serversenergy harvestingAge of InformationMotivated 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 Doncel has received funding from the Department of Education of the Basque Government through the Consolidated Research Group MATHMODE (IT1294-19), from the Marie Sklodowska-Curie grant agreement No 777778 and from the Spanish Ministry of Science and Innovation with reference PID2019-108111RB-I00 (FEDER/AEI).MDPI2021202120212021info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/54171reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/grantAgreement/MICINN/PID2019-108111RB-I00/https://www.mdpi.com/1099-4300/23/11/1549/htminfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/2021 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).oai:addi.ehu.eus:10810/541712026-06-18T09:23:17Z
dc.title.none.fl_str_mv Age of Information of Parallel Server Systems with Energy Harvesting
title Age of Information of Parallel Server Systems with Energy Harvesting
spellingShingle Age of Information of Parallel Server Systems with Energy Harvesting
Doncel Vicente, Josu
parallel servers
energy harvesting
Age of Information
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
dc.creator.none.fl_str_mv Doncel Vicente, Josu
author Doncel Vicente, Josu
author_facet Doncel Vicente, Josu
author_role author
dc.subject.none.fl_str_mv parallel servers
energy harvesting
Age of Information
topic parallel servers
energy harvesting
Age of Information
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.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/54171
url http://hdl.handle.net/10810/54171
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MICINN/PID2019-108111RB-I00/
https://www.mdpi.com/1099-4300/23/11/1549/htm
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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