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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MDPI AG
2021
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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) |
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parallel servers energy harvesting Age of Information Science Q Astrophysics QB460-466 Physics QC1-999 |
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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 |
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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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1718412224917143552 |