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Flow-Level Performance of Device-to-Device Overlaid OFDM Cellular Networks

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Wireless Algorithms, Systems, and Applications (WASA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9204))

Abstract

Spectrum partition and mode selection are two fundamental issues in D2D overlaid cellular networks, whose performance has been studied at the packet level for a static user population assuming infinite backlogs. In this paper, we aim at the flow-level performance with user dynamics governed by the arrival and completion of random service demands over time. We demonstrate the flow-level performance can be evaluated based on a queuing model with a dispatcher that assigns the service demands to two independent Processor Sharing servers. The queue model provides closed-form expressions for the mean number of users, the mean delay and the mean throughput, based on which the optimal spectrum partition and mode selection parameters can be derived and useful insights for the design principle can be obtained. Finally we perform numerical experiments to validate our model.

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References

  1. Lei, L., Zhong, Z., Lin, C., Shen, X.: Operator controlled device-to-device communications in LTE-advanced networks. IEEE Wirel. Commun. 19(3), 96–104 (2012)

    Article  Google Scholar 

  2. Fodor, G., et al.: Design aspects of network assisted device-to-device communications. IEEE Commun. Mag. 50(3), 170–177 (2012)

    Article  MathSciNet  Google Scholar 

  3. Lin, X., Andrews, J.G., Ghosh, A.: Spectrum sharing for device-to-device communication in cellular networks. IEEE Trans. Wirel. Commun. 13(12), 6727–6740 (2014)

    Article  Google Scholar 

  4. Borst, S.C.: User-level performance of channel-aware scheduling algorithms in wireless data networks. Proceedings of IEEE INFOCOM (2003)

    Google Scholar 

  5. Bonald, T., Proutiere, A.: Wireless downlink channels: user performance and cell dimensioning, In: Proceedongs of the ACM MobiCom, pp. 339–352 (2003)

    Google Scholar 

  6. Lei, L., Lin, C., Cai, J., Shen, X.: Flow-level performance of opportunistic OFDM-TDMA and OFDMA networks. IEEE Trans. Wirel. Commun. 7(12), 5461–5472 (2008)

    Article  Google Scholar 

  7. Cohen, J.W.: The multiple phase service network with generalized processor sharing. Acta Informatica 12(4), 245–285 (1979)

    MathSciNet  MATH  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (No. 61272168 and No. U1334202), and the State Key Laboratory of Rail Traffic Control and Safety (Contract No. RCS2014ZT10), Beijing Jiaotong University.

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Correspondence to Lei Lei .

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Appendix A: Multi-class PS Queue with State-Dependent Service Rate

Appendix A: Multi-class PS Queue with State-Dependent Service Rate

Consider a multi-class PS queue with K flow classes and state-dependent service capacity H(n), where class-k flows have normalized load \(\rho _{k}=\frac{\lambda _{k}}{\mu _{k}}\) and the total normalized load \(\rho =\sum _{k=1}^{K}\rho _{k}\). Let \(N_{k}\) represent the number of class-k flows and \(N=\sum _{k=1}^{K}N_{k}\) be the total number of flows. The mean number of flows is given by [4, 7]

$$\begin{aligned} \mathbb {E}(N)=J^{-1}\sum _{n=1}^{\infty }\frac{n\rho ^{n}}{\phi (n)}, \ \mathbb {E}(N_{k})=\frac{\rho _{k}}{\rho }\mathbb {E}(N). \end{aligned}$$
(9)

where \(\phi (n)=\prod _{m=1}^{n}H(m)\) and \(J=\sum _{n=0}^{\infty }\frac{\rho ^{n}}{\phi (n)}\) is a normalization constant. By Little’s law, we obtain the mean delay \(S_{k}\) and mean throughput \(T_{k}\) of a class-k flow as

$$\begin{aligned} S_{k}=\frac{\mathbb {E}(N_{k})}{\lambda _{k}}, \ T_{k}=\frac{\sigma _{k}}{S_{k}}. \end{aligned}$$
(10)

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Lei, L., Wang, H., Shen, X.(., Zhong, Z., Zheng, K. (2015). Flow-Level Performance of Device-to-Device Overlaid OFDM Cellular Networks. In: Xu, K., Zhu, H. (eds) Wireless Algorithms, Systems, and Applications. WASA 2015. Lecture Notes in Computer Science(), vol 9204. Springer, Cham. https://doi.org/10.1007/978-3-319-21837-3_30

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  • DOI: https://doi.org/10.1007/978-3-319-21837-3_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21836-6

  • Online ISBN: 978-3-319-21837-3

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