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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/11/1549 |
| _version_ | 1827676639529533440 |
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| author | Josu Doncel |
| author_facet | Josu Doncel |
| author_sort | Josu Doncel |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:30:27Z |
| format | Article |
| id | doaj.art-5ca62478d8bc48f7ad3f27cfbae3dd6b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T05:30:27Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5ca62478d8bc48f7ad3f27cfbae3dd6b2023-11-22T23:16:36ZengMDPI AGEntropy1099-43002021-11-012311154910.3390/e23111549Age of Information of Parallel Server Systems with Energy HarvestingJosu Doncel0Mathematics Department, University of the Basque Country, UPV/EHU, 48940 Leioa, SpainMotivated 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.https://www.mdpi.com/1099-4300/23/11/1549parallel serversenergy harvestingAge of Information |
| spellingShingle | Josu Doncel Age of Information of Parallel Server Systems with Energy Harvesting Entropy parallel servers energy harvesting Age of Information |
| title | 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_short | Age of Information of Parallel Server Systems with Energy Harvesting |
| title_sort | age of information of parallel server systems with energy harvesting |
| topic | parallel servers energy harvesting Age of Information |
| url | https://www.mdpi.com/1099-4300/23/11/1549 |
| work_keys_str_mv | AT josudoncel ageofinformationofparallelserversystemswithenergyharvesting |