article

Flow-level performance and capacity of wireless networks with user mobility

Authors:

Matthieu Jonckheere,

Alexandre ProutiereAuthors Info & Claims

Queueing Systems: Theory and Applications, Volume 63, Issue 1-4

Pages 131 - 164

https://doi.org/10.1007/s11134-009-9144-7

Published: 01 December 2009 Publication History

Abstract

The performance evaluation of wireless networks is severely complicated by the specific features of radio communication, such as highly variable channel conditions, interference issues, and possible hand-offs among base stations. The latter elements have no natural counterparts in wireline scenarios, and create a need for novel performance models that account for the impact of these characteristics on the service rates of users.

Motivated by the above issues, we review several models for characterizing the capacity and evaluating the flow-level performance of wireless networks carrying elastic data transfers. We first examine the flow-level performance and stability of a wide family of so-called -fair channel-aware scheduling strategies. We establish that these disciplines provide maximum stability, and describe how the special case of the Proportional Fair policy gives rise to a Processor-Sharing model with a state-dependent service rate. Next we turn attention to a network of several base stations with inter-cell interference. We derive both necessary and sufficient stability conditions and construct lower and upper bounds for the flow-level performance measures. Lastly we investigate the impact of user mobility that occurs on a slow timescale and causes possible hand-offs of active sessions. We show that the mobility tends to increase the capacity region, both in the case of globally optimal scheduling and local -fair scheduling. It is additionally demonstrated that the capacity and user throughput improve with lower values of the fairness index .

References

[1]

Agrawal, R., Subramanian, V.: Optimality of certain channel-aware scheduling policies. In: Proc. 40th Annual Allerton Conf. Commun., Control, Comp., pp. 1532-1541 (2002).

[2]

Andrews, D.M.: Instability of the Proportional Fair scheduling algorithm for HDR. IEEE Trans. Wirel. Commun. 3 , 1422-1426 (2004).

[3]

Andrews, D.M., Kumaran, K., Ramanan, K., Stolyar, A.L., Vijayakumar, R., Whiting, P.A.: Scheduling in a queueing system with asynchronously varying service rates. Probab. Eng. Inf. Sci. 18 , 191- 217 (2004).

Digital Library

[4]

Andrews, D.M., Qian, L., Stolyar, A.L.: Optimal utility-based throughput allocation subject to throughput constraints. In: Proc. Infocom 2005 (2005).

[5]

Bender, P., Black, P., Grob, M., Padovani, R., Sindhushayana, N., Viterbi, A.: CDMA/HDR: a bandwidth-efficient high-speed wireless data service for nomadic users. IEEE Commun. Mag. 38 (7), 70-77 (2000).

Digital Library

[6]

Bonald, T.: A score-based opportunistic scheduler for fading radio channels. In: Proc. European Wireless Conf. 2004 (2004).

[7]

Bonald, T., Borst, S.C., Hegde, N., Proutière, A.: Wireless data performance in multi-cell scenarios. In: Proc. ACM Sigmetrics/Performance 2004, pp. 378-388 (2004).

[8]

Bonald, T., Borst, S.C., Proutière, A.: How mobility impacts the flow-level performance of wireless data systems. In: Proc. IEEE Infocom 2004 (2004).

[9]

Bonald, T., Borst, S.C., Proutière, A.: Inter-cell scheduling in wireless data networks. In: Proc. European Wireless Conf. 2005 (2005).

[10]

Bonald, T., Borst, S.C., Proutière, A.: Inter-cell coordination in wireless data networks. In:. Eur. Trans. Telecommun. 17 , 303-312 (2006).

[11]

Bonald, T., Massoulié, L.: Impact of fairness on Internet performance. In: Proc. ACM Sigmetrics/ Performance 2001, pp. 82-91 (2001).

[12]

Bonald, T., Massoulié, L., Proutière, A., Virtamo, J.: A queueing analysis of max-min fairness, proportional fairness and balanced fairness. Queueing Syst. 53 , 65-84 (2003).

[13]

Bonald, T., Proutière, A.: Wireless downlink data channels: User performance and cell dimensioning. In: Proc. ACM Mobicom 2003, pp. 339-352 (2003).

[14]

Bonald, T., Proutière, A.: On performance bounds for the integration of elastic and adaptive streaming flows. In: Proc. ACM Sigmetrics/Performance 2004, pp. 235-245 (2004).

[15]

Bonald, T., Proutière, A.: Flow-level stability of utility-based allocations for non-convex rate regions. In: Proc. CISS 2006 (2006).

[16]

Bonald, T., Proutière, A., Régnié, G., Roberts, J.W.: Insensitivity results in statistical bandwidth sharing. In: de Souza, J.M., da Fonseca, N.L.S., de Souza e Silva, E.A. (eds.) Teletraffic Engineering in the Internet Era, Proc. ITC-17. Salvador da Bahia, pp. 125-136. North-Holland, Amsterdam (2001).

[17]

Borst, S.C.: User-level performance of channel-aware scheduling algorithms in wireless data networks. In: Proc. Infocom 2003 (2003).

[18]

Borst, S.C.: User-level performance of channel-aware scheduling algorithms in wireless data networks. IEEE/ACM Trans. Netw. 13 , 636-647 (2005).

Digital Library

[19]

Borst, S.C.: Flow-level performance and user mobility in wireless data networks. Philos. Trans. R. Soc. A 366 (1872), 2047-2058 (2008).

[20]

Borst, S.C., Hegde, N.: Integration of streaming and elastic traffic in wireless networks. In: Proc. Infocom 2007 (2007).

[21]

Borst, S.C., Hegde, N., Proutière, A.: Capacity of wireless networks with intra- and inter-cell mobility. In: Proc. Infocom 2006 (2006).

[22]

Borst, S.C., Hegde, N., Proutière, A.: Mobility-driven scheduling in wireless networks. In: Proc. Infocom 2009.

[23]

Borst, S.C., Jonckheere, M.: Flow-level stability of channel-aware scheduling-algorithms. In: Proc. WiOpt '06 (2006).

[24]

Borst, S.C., Jonckheere, M., Leskelä, L.: Stability of parallel queueing systems with coupled service rates. Discrete Event Dyn. Syst. 18 , 447-472 (2008).

Digital Library

[25]

Borst, S.C., Whiting, P.A.: Dynamic rate control algorithms for HDR throughput optimization. In: Proc. Infocom 2001, pp. 976-985 (2001).

[26]

Borst, S.C., Whiting, P.A.: Dynamic channel-sensitive scheduling algorithms for wireless data throughput optimization. IEEE Trans. Veh. Techn. 52 , 569-586 (2003).

[27]

Chaponniere, E.F., Black, P.J., Holtzman, J.M., Tse, D.N.C.: Transmitter directed code division multiple access system using path diversity to equitably maximize throughput. US Patent 6,449,490 (2002).

[28]

Cohen, J.W., Boxma, O.J.: Boundary Value Problems in Queueing System Analysis. North-Holland, Amsterdam (1983).

[29]

Cohen, J.W.: On a functional relation in three complex variables; three coupled processors. Technical Report 359, Mathematical Institute, University of Utrecht (1984).

[30]

Cohen, J.W.: The multiple phase service network with generalized processor sharing. Acta Inform. 12 , 245-284 (1979).

Digital Library

[31]

Dai, J.G.: On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab. 5 , 49-77 (1995).

[32]

Delcoigne, F., Proutière, A., Régnié, G.: Modelling integration of streaming and data traffic. Perform. Eval. 55 , 185-209 (2004).

Digital Library

[33]

Fayolle, G., Iasnogorodski, R.: Two coupled processors: the reduction to a Riemann-Hilbert problem. Z. Wahr. Verw. Geb. 47 , 325-351 (1979).

[34]

Georgiadis, L., Neely, M.J., Tassiulas, L.: Resource allocation and cross-layer control in wireless networks. Found. Trends Netw. 1 , 1-144 (2006).

Digital Library

[35]

Grossglauser, M., Tse, D.N.C.: Mobility increases the capacity of ad hoc wireless networks. IEEE/ACM Trans. Netw. 10 , 477-486 (2002).

Digital Library

[36]

Hansen, J., Reynolds, C., Zachary, S.: Stability of processor sharing networks with simultaneous resource requirements. J. Appl. Probab. 44 , 636-651 (2007).

[37]

Jalali, A., Padovani, R., Pankaj, R.: Data throughput of CDMA-HDR a high efficiency-high data rate personal communication wireless system. In: Proc. IEEE VTC 2000 Spring Conf., pp. 1854-1858 (2000).

[38]

Jonckheere, M., Borst, S.C.: Stability of multi-class queueing systems with state-dependent service rates. In: Proc. ValueTools 2006, Pisa, Italy, October 11-13 (2006).

[39]

Jonckheere, M.: Stability of two interfering processors with load balancing. In: Proc. ValueTools 2008. Athens, Greece, October 20-24 (2008).

[40]

Kelly, F.P.: Reversibility and Stochastic Networks. Wiley, New York (1979).

[41]

Kelly, F.P., Maulloo, A., Tan, D.: Rate control for communication networks: Shadow prices, proportional fairness and stability. J. Oper. Res. Soc. 49 , 237-252 (1998).

[42]

Key, P.B., Massoulié, L., Bain, A., Kelly, F.P.: Fair Internet traffic integration: network flow models and analysis. Ann. Telecommun. 59 , 1338-1352 (2004).

[43]

Knopp, R., Humblet, P.A.: Information theory and power control in single-cell multi-user communications. In: Proc. ICC '95 (1995).

[44]

Kushner, H.J., Whiting, P.A.: Convergence of Proportional-Fair sharing algorithms under general conditions. IEEE Trans. Wirel. Commun. 3 , 1250-1259 (2004).

Digital Library

[45]

Lin, X., Shroff, N.B.: The impact of imperfect scheduling on cross-layer congestion control in wireless networks. IEEE/ACM Trans. Netw. 14 , 302-315 (2006).

Digital Library

[46]

Lin, X., Shroff, N.B., Srikant, R.: On the connection-level stability of congestion-controlled communication networks. IEEE Trans. Inf. Theory 54 , 2317-2338 (2008).

[47]

Litjens, R., Roijers, F., van den Berg, J.L., Boucherie, R.J., Fleuren, M.J.: Performance analysis of wireless LAN's: an integrated packet/flow level approach. In: Charzinski, J., Lehnert, R., Tran Gia, P. (eds.) Providing QoS in Heterogeneous Environments, Proc. ITC-18, Berlin, pp. 931-940. North-Holland, Amsterdam (2003).

[48]

Liu, X., Chong, E.K.P., Shroff, N.B.: A framework for opportunistic scheduling in wireless networks. Comput. Netw. 41 , 451-474 (2003).

Digital Library

[49]

Liu, J., Proutière, A., Yi, Y., Chiang, M., Poor, H.V.: Flow-level stability of data networks with nonconvex and time-varying rate regions. In: Proc. ACM Sigmetrics 2007, pp. 239-250 (2007).

[50]

Massoulié, L.: Structural properties of proportional fairness: stability and insensitivity. Ann. Appl. Probab. 17 , 809-839 (2007).

[51]

Meyn, S.P., Tweedie, R.L.: Markov Chains and Stochastic Stability. Springer, Berlin (1993).

[52]

Mo, J., Walrand, J.C.: Fair end-to-end window-based congestion control. IEEE/ACM Trans. Netw. 8 , 556-567 (2000).

Digital Library

[53]

Müller, A., Stoyan, D.: Comparison Methods for Stochastic Models and Risks. Wiley, New York (2002).

[54]

Neely, M.J., Modiano, E., Li, C.-P.: Fairness and optimal stochastic control for heterogeneous networks. In: Proc. Infocom 2005 (2005).

[55]

Prakash, R., Veeravalli, V.V.: A time-scale separation technique for the analysis of random access systems with incremental redundancy. In: Proc. ISIT 2002 (2002).

[56]

Simatos, F., Tibi, D.: Spatial homogenization in a stochastic network with mobility. Ann. Appl. Probab. (to appear). http://arxiv.org/abs/0807.1205.

[57]

Stolyar, A.L.: On the asymptotic optimality of the gradient scheduling algorithm for multi-user throughput allocation. Oper. Res. 53 , 12-25 (2005).

Digital Library

[58]

Szpankowski, W.: Stability conditions for multidimensional queueing systems with computer applications. Oper. Res. 36 , 944-957 (1988).

[59]

Szpankowski, W.: Stability conditions for some distributed systems: buffered random access systems. Adv. Appl. Probab. 26 , 498-515 (1994).

[60]

Tassiulas, L., Ephremides, A.: Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks. IEEE Trans. Automat. Contr. 37 , 1936- 1948 (1992).

[61]

Tassiulas, L., Ephremides, A.: Dynamic server allocation to parallel queues with randomly varying connectivity. IEEE Trans. Inf. Theory 30 , 466-478 (1993).

[62]

Tchen, A.H.: Inequalities for distributions with given marginals. Ann. Appl. Probab. 8 , 812-827 (1980).

[63]

Telatar, I.E., Gallager, R.G.: Combining queueing theory with information theory for multi-access. IEEE J. Sel. Areas Commun. 13 , 963-969 (1995).

Digital Library

[64]

Viswanath, P., Tse, D.N.C., Laroia, R.: Opportunistic beam-forming using dumb antennas. IEEE Trans. Inf. Theory 48 , 1277-1294 (2002).

Digital Library

Cited By

Morozova T(2023)Stability Analysis and Simulation of a Cellular Network with Retransmissions PolicyComputer Performance Engineering and Stochastic Modelling10.1007/978-3-031-43185-2_25(369-382)Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/978-3-031-43185-2_25
Adamuz-Hinojosa OAmeigeiras PMuñoz PLopez-Soler J(2021)Analytical Model for the UE Blocking Probability in an OFDMA Cell providing GBR Slices2021 IEEE Wireless Communications and Networking Conference (WCNC)10.1109/WCNC49053.2021.9417351(1-7)Online publication date: 29-Mar-2021
https://dl.acm.org/doi/10.1109/WCNC49053.2021.9417351
Abbas NLin YSayrac B(2021)Mobility-driven scheduler for mobile networks carrying adaptive streaming traffic2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)10.1109/PIMRC.2016.7794827(1-7)Online publication date: 10-Mar-2021
https://dl.acm.org/doi/10.1109/PIMRC.2016.7794827
Show More Cited By

Flow-level performance and capacity of wireless networks with user mobility

Recommendations

Stability of longest-queue-first scheduling in linear wireless networks with multihop traffic and one-hop interference

We consider the stability of the longest-queue-first (LQF) scheduling policy in wireless networks with multihop traffic under the one-hop interference model. Although it is well known that the back-pressure algorithm achieves the maximal stability, its ...
Temporal starvation in multi-channel CSMA networks: an analytical framework

In this paper, we consider a stochastic model for a frequency-agile CSMA protocol for wireless networks where multiple orthogonal frequency channels are available. Even when the possible interference on the different channels is described by different ...
User-level performance of channel-aware scheduling algorithms in wireless data networks

Channel-aware scheduling strategies, such as the Proportional Fair algorithm for the CDMA 1xEV-DO system, provide an effective mechanism for improving throughput performance in wireless data networks by exploiting channel fluctuations. The performance ...

Comments

Information & Contributors

Information

Published In

cover image Queueing Systems: Theory and Applications

Queueing Systems: Theory and Applications Volume 63, Issue 1-4

December 2009

466 pages

ISSN:0257-0130

Issue’s Table of Contents

Copyright © Copyright © 2009 Springer Science+Business Media, LLC.

Publisher

J. C. Baltzer AG, Science Publishers

United States

Publication History

Published: 01 December 2009

Author Tags

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

23
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 05 Mar 2025

Other Metrics

View Author Metrics

Citations

Cited By

Morozova T(2023)Stability Analysis and Simulation of a Cellular Network with Retransmissions PolicyComputer Performance Engineering and Stochastic Modelling10.1007/978-3-031-43185-2_25(369-382)Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/978-3-031-43185-2_25
Adamuz-Hinojosa OAmeigeiras PMuñoz PLopez-Soler J(2021)Analytical Model for the UE Blocking Probability in an OFDMA Cell providing GBR Slices2021 IEEE Wireless Communications and Networking Conference (WCNC)10.1109/WCNC49053.2021.9417351(1-7)Online publication date: 29-Mar-2021
https://dl.acm.org/doi/10.1109/WCNC49053.2021.9417351
Abbas NLin YSayrac B(2021)Mobility-driven scheduler for mobile networks carrying adaptive streaming traffic2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)10.1109/PIMRC.2016.7794827(1-7)Online publication date: 10-Mar-2021
https://dl.acm.org/doi/10.1109/PIMRC.2016.7794827
Dimitriou I(2021)On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependencyQueueing Systems: Theory and Applications10.1007/s11134-021-09705-y98:1-2(95-143)Online publication date: 27-Apr-2021
https://dl.acm.org/doi/10.1007/s11134-021-09705-y
Simatos FSimonian A(2020)Mobility can drastically improve the heavy traffic performance from to Queueing Systems: Theory and Applications10.1007/s11134-020-09652-095:1-2(1-28)Online publication date: 1-Jun-2020
https://dl.acm.org/doi/10.1007/s11134-020-09652-0
Wang KYu JChen LZhou PGe XWin M(2019)Opportunistic Scheduling Revisited Using Restless Bandits: Indexability and Index PolicyIEEE Transactions on Wireless Communications10.1109/TWC.2019.293169018:10(4997-5010)Online publication date: 9-Oct-2019
https://dl.acm.org/doi/10.1109/TWC.2019.2931690
Chattopadhyay ABlaszczyszyn BAltman E(2019)Two-Tier Cellular Networks for Throughput Maximization of Static and Mobile UsersIEEE Transactions on Wireless Communications10.1109/TWC.2018.288738618:2(997-1010)Online publication date: 1-Feb-2019
https://dl.acm.org/doi/10.1109/TWC.2018.2887386
OLIVIER PSIMONIAN A(2017)Performance of Data Traffic in Small Cells Networks with Inter-Cell Mobilityproceedings of the 10th EAI International Conference on Performance Evaluation Methodologies and Tools on 10th EAI International Conference on Performance Evaluation Methodologies and Tools10.4108/eai.25-10-2016.2266520(97-104)Online publication date: 3-May-2017
https://dl.acm.org/doi/10.4108/eai.25-10-2016.2266520
Wang KYu JChen LWin M(2017)Opportunistic Scheduling Revisited Using Restless Bandits: Indexability and Index PolicyGLOBECOM 2017 - 2017 IEEE Global Communications Conference10.1109/GLOCOM.2017.8254159(1-6)Online publication date: 4-Dec-2017
https://dl.acm.org/doi/10.1109/GLOCOM.2017.8254159
(2017)Opportunistic scheduling with flow size information for Markovian time-varying channelsPerformance Evaluation10.1016/j.peva.2017.03.005112:C(27-52)Online publication date: 1-Jun-2017
https://dl.acm.org/doi/10.1016/j.peva.2017.03.005
Show More Cited By

View Options

View options

Figures

Tables

Media

View Issue’s Table of Contents