广西师范大学学报(自然科学版) ›› 2022, Vol. 40 ›› Issue (6): 122-130.doi: 10.16088/j.issn.1001-6600.2021101204

• 研究论文 • 上一篇    下一篇

衰减信道下具有严格时延的P2P实时通信传输策略

田世坤, 唐胜达*   

  1. 广西师范大学数学与统计学院,广西桂林541006
  • 收稿日期:2021-10-12 修回日期:2021-12-29 出版日期:2022-11-25 发布日期:2023-01-17
  • 通讯作者: 唐胜达(1976—),男,四川蓬溪人,广西师范大学副教授,博士。E-mail:tangsd911@163.com
  • 基金资助:
    国家自然科学基金(61761008);广西自然科学基金(2018JJA170024);广西研究生教育创新计划项目(YJSCXP202105)

Scheduling Policy of P2P Real-time Communication with Strict Delay in Fading Channel

TIAN Shikun, TANG Shengda*   

  1. School of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2021-10-12 Revised:2021-12-29 Online:2022-11-25 Published:2023-01-17

摘要: 本文考虑衰减信道下点对点(P2P)的实时通信问题,具体地,设大小已知的传输任务随机到达系统,每个传输任务具有严格时延,考虑系统在随机衰减信道下的实时最优传输策略,使系统贴现总期望收益达到最大。将通信模型转换成Markov决策过程(MDP),考虑到基于MDP架构下的维数灾难,基于无休止赌博机模型(RBP)分析P2P实时传输问题,证明衰减信道下P2P实时通信系统的可索引性,同时给出传输策略的Whittle索引封闭解。本文理论上保证衰减信道下P2P实时传输策略Whittle索引的存在性,并可由Whittle索引封闭解设计低时间复杂度的传输调度算法,对衰减信道下P2P实时通信的设计与优化具有指导意义。

关键词: 点对点通信, 传输策略, 无休止赌博机模型, Whittle索引

Abstract: In this paper, a real-time communication problem of point-to-point (P2P) under fading channels is discussed. Specifically, assuming that transmission tasks with a known size arrive at the system randomly, and each transmission task has a strict time delay, the system’s real-time optimal transmission strategy under a random attenuation channel is studied, so as to maximize the total expected benefit of the system discount. Firstly, the communication model is transformed into Markov decision process (MDP). Considering the dimensionality disaster based on MDP architecture, this paper analyzes the P2P real-time transmission problem based on the restless bandit process model (RBP), and proves that the indexability of P2P real-time transmission under the fading channel. Then the Whittle index closed solution of the transmission strategy is given. The conclusion of this paper theoretically ensures the existence of the Whittle index of P2P real-time transmission strategyunder the fading channel, and the closed solution of the Whittle index can be used to design a transmission scheduling algorithm with low time complexity. This is of guiding significance for the design and optimization of P2P real-time communication under fading channel.

Key words: point to point communication (P2P), scheduling policy, restless bandit process (RBP), Whittle index

中图分类号: 

  • O211.9
[1] ODLYZKO A M. Internet traffic growth: sources and implications[C]// Proceedings of SPIE 5247. Optical Transmission Systems and Equipment for WDM Net working Ⅱ. Bellingham: SPIE, 2003: 1-15.
[2] 刘炎培, 陈宁宁, 朱运静, 等.面向5G/Beyond 5G的移动边缘缓存优化技术研究综述[J/OL].计算机应用: 1-15[2021-10-13]. http//kns.cnki.net/kcms/detail/51.1307.TP.20210922.1649.006.html.
[3] 禚明, 刘乐源, 周世杰, 等.一种空间信息网络抗毁分析的新方法[J].广西师范大学学报(自然科学版), 2021, 39(2): 21-31.
[4] VERDYCK J, MOONEN M. Dynamic spectrum management in digital subscriber line networks with unequal error protection requirements[J]. IEEE Access, 2017, 5: 18107-18120.
[5] SIMARATA J H T, SUHERMAN S. Downlink ratio impact on downstream traffic performances on WiMAX[J]. IOP Conference Series: Materials Science and Engineering, 2020, 725: 012057.
[6] 李淑琪, 于博.P2P平台分散度、用户风险感知与平台成交量[J].金融发展研究, 2021(8): 42-50.
[7] COOMANS W, CHOW H, MAES J. Introducing full duplex in hybrid fiber coaxial networks[J]. IEEE Communications Standards Magazine, 2018, 2(1): 74-79.
[8] 谭晓丽. 混合通信网络的组网技术及实现[D].西安:西安电子科技大学, 2018.
[9] DI B Y, SONG L Y, LI Y H, et al. Ultra-dense LEO; Integration of satellite access networks into 5G and beyond[J]. IEEE Wireless Communications, 2019, 26(2): 62-69.
[10] 熊晨旭, 韦妙云, 唐胜达.基于事件驱动的通信卫星传输功率的最优控制[J].广西师范大学学报(自然科学版), 2019, 37(4): 94-102.
[11] YILDIRIM Y. Optical solitons in DWDM technology with four-wave mixing by trial equation integration architecture[J]. Optik, 2019, 182: 625-632.
[12] LIU R, LI Y, ZHANG M X, et al. The wireless IoT device identification based on channel state information fingerprinting[C]// 2020 IEEE 9th Joint International Information Technology and Artificial Intelligence Conference (ITAIC). Piscataway: IEEE, 2020, 9: 534-541.
[13] SALODKAR N, KARNIK A. Point-to-point scheduling over a wireless channel with costly channel state information[C]// 2011 Third International Conference on Communication Systems and Networks (COMSNETS 2011). Piscataway: IEEE, 2011: 1-6.
[14] XU J, GUO C C. Scheduling stochastic real-time D2D communications[J]. IEEE Transactions on Vehicular Technology, 2019, 68(6): 6022-6036.
[15] NGO M H, KRISHNAMURTHY V. Optimality of threshold policies for transmission scheduling in correlated fading channels[J]. IEEE Transactions on Communications, 2009, 57(8): 2474-2483.
[16] WANG H S, MOAYERI N. Finite-state Markov channel-a useful model for radio communication channels[J]. IEEE Transactions on Vehicular Technology, 1995, 44(1): 163-171.
[17] ZHANG Q Q, KASSAM S A. Finite-state Markov model for Rayleigh fading channels[J]. IEEE Transactions on Communications, 1999, 47(11): 1688-1692.
[18] GUAN Y L, TURNER L F. Generalised FSMC model for radio channels with correlated fading[J]. IEE Proceedings-Communications, 1999, 146(2): 133-137.
[19] RAZAVILAR J, LIU K J R, MARCUS S I. Jointly optimized bit-rate/delay control policy for wireless packet networks with fading channels[J]. IEEE Transactions on Communications, 2002, 50(3): 484-494.
[20] DERMAN C, LIEBERMAN G J, ROSS S M. Optimal system allocations with penalty costs[J]. Management Science, 1976, 23(4): 399-403.
[21] PENG S G. A generalized dynamic programming principle and Hamilton-Jacobi-Bellman equation[J]. Stochastics and Stochastic Reports, 1992, 38(2): 119-134.
[22] PIUNOVSKIY A B. Dynamic programming in constrained Markov decision processes[J]. Control and Cybernetics, 2006, 35(3): 645-660.
[23] GITTINS J C. Bandit processes and dynamic allocation indices[J]. Journal of the Royal Statistical Society: Series B(Methodological), 1979, 41(2): 148-164.
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