Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks
The paper addresses two issues: (i) modeling dynamic flows transmitted in vast TCP/IP networks and (ii) modeling the impact of energy-saving algorithms. The approach is based on the fluid-flow approximation, which applies first-order differential equations to analyze the evolution of queues and flow...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3279 |
| _version_ | 1797502638399422464 |
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| author | Monika Nycz Tomasz Nycz Tadeusz Czachórski |
| author_facet | Monika Nycz Tomasz Nycz Tadeusz Czachórski |
| author_sort | Monika Nycz |
| collection | DOAJ |
| description | The paper addresses two issues: (i) modeling dynamic flows transmitted in vast TCP/IP networks and (ii) modeling the impact of energy-saving algorithms. The approach is based on the fluid-flow approximation, which applies first-order differential equations to analyze the evolution of queues and flows. We demonstrate that the effective implementation of this method overcomes the constraints of storing large data in numerical solutions of transient problems in vast network topologies. The model is implemented and executed directly in a database system. It can analyze transient states in topologies of more than 100,000 nodes, i.e., the size which was not considered until now. We use it to investigate the impact of an energy-saving algorithm on the performance of a vast network. We find that it reduces network congestion and save energy costs but significantly lower network throughput. |
| first_indexed | 2024-03-10T03:37:04Z |
| format | Article |
| id | doaj.art-4e23a630fae442c7a6f5e7f75143de69 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:37:04Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4e23a630fae442c7a6f5e7f75143de692023-11-23T09:26:51ZengMDPI AGMathematics2227-73902021-12-01924327910.3390/math9243279Fluid-Flow Approximation in the Analysis of Vast Energy-Aware NetworksMonika Nycz0Tomasz Nycz1Tadeusz Czachórski2Department of Computer Networks and Systems, Silesian University of Technology, 44-100 Gliwice, PolandDepartment of Distributed Systems and Informatic Devices, Silesian University of Technology, 44-100 Gliwice, PolandInstitute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, PolandThe paper addresses two issues: (i) modeling dynamic flows transmitted in vast TCP/IP networks and (ii) modeling the impact of energy-saving algorithms. The approach is based on the fluid-flow approximation, which applies first-order differential equations to analyze the evolution of queues and flows. We demonstrate that the effective implementation of this method overcomes the constraints of storing large data in numerical solutions of transient problems in vast network topologies. The model is implemented and executed directly in a database system. It can analyze transient states in topologies of more than 100,000 nodes, i.e., the size which was not considered until now. We use it to investigate the impact of an energy-saving algorithm on the performance of a vast network. We find that it reduces network congestion and save energy costs but significantly lower network throughput.https://www.mdpi.com/2227-7390/9/24/3279fluid-flow approximationcomputer networksenergy-aware networksdata analysis |
| spellingShingle | Monika Nycz Tomasz Nycz Tadeusz Czachórski Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks Mathematics fluid-flow approximation computer networks energy-aware networks data analysis |
| title | Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks |
| title_full | Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks |
| title_fullStr | Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks |
| title_full_unstemmed | Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks |
| title_short | Fluid-Flow Approximation in the Analysis of Vast Energy-Aware Networks |
| title_sort | fluid flow approximation in the analysis of vast energy aware networks |
| topic | fluid-flow approximation computer networks energy-aware networks data analysis |
| url | https://www.mdpi.com/2227-7390/9/24/3279 |
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