VNF-Based Service Provision in Software Defined LEO Satellite Networks
Low earth orbit (LEO) satellite networks will play important roles in the sixth generation (6G) communication system. Software defined network technique is a novel approach introduced to the LEO satellite networks to improve the resource flexibility and efficiency, forming the software defined LEO s...
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| Vydané v: | IEEE transactions on wireless communications Ročník 20; číslo 9; s. 6139 - 6153 |
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| Hlavní autori: | , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
IEEE
01.09.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1536-1276, 1558-2248 |
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| Abstract | Low earth orbit (LEO) satellite networks will play important roles in the sixth generation (6G) communication system. Software defined network technique is a novel approach introduced to the LEO satellite networks to improve the resource flexibility and efficiency, forming the software defined LEO satellite networks (SDLSNs). How to efficiently allocate the resources of SDLSN to provide services for the terrestrial users is a key issue. Hence, in this work, we explore the service provision for SDLSN via virtual network functions (VNFs) orchestration on the software defined time-evolving graph. In view of the scarce, intermittent and unstable satellite-to-satellite (S2S) links, the problem is formulated to minimize the S2S resource consumption while satisfying the terrestrial tasks, which is in the form of integer linear programming. Since the problem is intractable by exhaustive search, we design a branch-and-price algorithm based on the coupling of Dantzig-Wolfe decomposition, column generation, and branch-and-bound to efficiently acquire the optimal solution. Further, to obtain a faster solution for practical usage, we further design an approximation algorithm for the subproblem and leverage the beam search to accelerate the pruning for the search tree. Finally, extensive simulations are conducted and the numerical results validate the effectiveness of the proposed schemes. |
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| AbstractList | Low earth orbit (LEO) satellite networks will play important roles in the sixth generation (6G) communication system. Software defined network technique is a novel approach introduced to the LEO satellite networks to improve the resource flexibility and efficiency, forming the software defined LEO satellite networks (SDLSNs). How to efficiently allocate the resources of SDLSN to provide services for the terrestrial users is a key issue. Hence, in this work, we explore the service provision for SDLSN via virtual network functions (VNFs) orchestration on the software defined time-evolving graph. In view of the scarce, intermittent and unstable satellite-to-satellite (S2S) links, the problem is formulated to minimize the S2S resource consumption while satisfying the terrestrial tasks, which is in the form of integer linear programming. Since the problem is intractable by exhaustive search, we design a branch-and-price algorithm based on the coupling of Dantzig-Wolfe decomposition, column generation, and branch-and-bound to efficiently acquire the optimal solution. Further, to obtain a faster solution for practical usage, we further design an approximation algorithm for the subproblem and leverage the beam search to accelerate the pruning for the search tree. Finally, extensive simulations are conducted and the numerical results validate the effectiveness of the proposed schemes. |
| Author | Li, Jiandong Sheng, Min Jia, Ziye Zhou, Di Han, Zhu |
| Author_xml | – sequence: 1 givenname: Ziye orcidid: 0000-0001-9281-4826 surname: Jia fullname: Jia, Ziye email: ziyejia@stu.xidian.edu.cn organization: State Key Laboratory of ISN, Xidian University, Xi'an, China – sequence: 2 givenname: Min orcidid: 0000-0002-7762-5063 surname: Sheng fullname: Sheng, Min email: msheng@mail.xidian.edu.cn organization: State Key Laboratory of ISN, Xidian University, Xi'an, China – sequence: 3 givenname: Jiandong orcidid: 0000-0002-8851-836X surname: Li fullname: Li, Jiandong email: jdli@mail.xidian.edu.cn organization: State Key Laboratory of ISN, Xidian University, Xi'an, China – sequence: 4 givenname: Di orcidid: 0000-0002-8375-9236 surname: Zhou fullname: Zhou, Di email: zhoudi@xidian.edu.cn organization: State Key Laboratory of ISN, Xidian University, Xi'an, China – sequence: 5 givenname: Zhu orcidid: 0000-0002-6606-5822 surname: Han fullname: Han, Zhu email: zhan2@uh.edu organization: Department of Electrical and Computer Engineering, University of Houston, Houston, TX, USA |
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| Cites_doi | 10.1080/00207548808947840 10.1109/JSAC.2016.2611860 10.1007/0-387-25486-2_1 10.1109/TNSM.2017.2711610 10.1109/TNSM.2020.2993400 10.1109/JSAC.2020.3018824 10.1109/JSAC.2018.2804019 10.1016/0167-6377(96)00033-8 10.1109/VTCFall.2018.8690972 10.1109/TVT.2019.2896245 10.1109/JSAC.2018.2869717 10.1109/TWC.2017.2647805 10.1109/TNET.2014.2312928 10.1109/ICC40277.2020.9148906 10.1016/j.compchemeng.2013.09.019 10.1007/s41650-017-0046-2 10.1287/opre.35.6.820 10.1007/978-1-4419-7671-0 10.1109/INFOCOM41043.2020.9155485 10.1137/S0097539795290477 10.1016/j.ejor.2016.08.073 10.1287/opre.48.1.111.12453 10.1109/GLOBECOM38437.2019.9013347 10.1109/MNET.001.1900287 10.1109/ICC.2016.7510733 10.2514/6.2014-4382 10.1287/opre.46.3.316 10.1016/j.actaastro.2015.02.009 10.1109/MWC.2017.1600173 10.1109/GLOCOM.2014.7037237 10.1109/TMC.2017.2732343 10.1287/opre.1090.0713 10.1364/JOCN.10.000114 10.1109/TWC.2019.2916663 |
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| Snippet | Low earth orbit (LEO) satellite networks will play important roles in the sixth generation (6G) communication system. Software defined network technique is a... |
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| SubjectTerms | Analytical models Approximation algorithms branch-and-price Communications systems Dantzig-Wolfe decomposition Integer programming Linear programming Low earth orbit (LEO) satellite networks Low earth orbit satellites Low earth orbits Mathematical analysis Particle beams Satellite networks satellite resource allocation Satellites Search algorithms Software algorithms Software-defined networking virtual network function (VNF) Virtual networks Wireless communication |
| Title | VNF-Based Service Provision in Software Defined LEO Satellite Networks |
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