Nothing Special   »   [go: up one dir, main page]

skip to main content
article

Downlink power allocation for multi-class wireless systems

Published: 01 August 2005 Publication History

Abstract

In this paper we consider a power allocation problem in multi-class wireless systems. We focus on the downlink of the system. Each mobile has a utility function that characterizes its degree of satisfaction for the received service. The objective is to obtain a power allocation that maximizes the total system utility. Typically, natural utility functions for each mobile are nonconcave. Hence, we cannot use existing convex optimization techniques to derive a global optimal solution. We develop a simple (distributed) algorithm to obtain a power allocation that is asymptotically optimal in the number of mobiles. The algorithm is based on dynamic pricing and consists of two stages. At the mobile selection stage, the base station selects mobiles to which power is allocated. At the power allocation stage, the base station allocates power to the selected mobiles. We provide numerical results that illustrate the performance of our scheme. In particular, we show that our algorithm results in system performance that is close to the performance of a global optimal solution in most cases.

References

[1]
{1} K. S. Gilhousen, I. M. Jacobs, R. Padovani, A. J. Viterbi, L. A. Weaver Jr., and C. E. Wheatley III, "On the capacity of a cellular CDMA system," IEEE Trans. Veh. Technol., vol. 40, no. 2, pp. 303-312, May 1991.
[2]
{2} R. D. Yates, "A framework for uplink power control in cellular radio systems," IEEE J. Sel. Areas Commun., vol. 13, no. 7, pp. 1341-1347, Sep. 1995.
[3]
{3} P. Bender, P. Black, M. Grob, R. Padovani, N. Sindhushayana, and A. Viterbi, "CDMA/HDR: A bandwidth-efficient high-speed wireless data service for nomadic users," IEEE Commun. Mag., vol. 38, no. 7, pp. 70-77, Jul. 2000.
[4]
{4} S. Parkvall, E. Dahlman, P. Frenger, P. Beming, and M. Persson, "The evolution of WCDMA toward higher speed downlink packet data access," in Proc. IEEE VTC'01-Spring, vol. 3, 2001, pp. 2287-2291.
[5]
{5} M. Frodigh, S. Parkvall, C. Roobol, P. Johansson, and P. Larsson, "Future-generation wireless networks," IEEE Pers. Commun., vol. 8, no. 5, pp. 10-17, Oct. 2001.
[6]
{6} F. P. Kelly, A. K. Maulloo, and D. K. H. Tan, "Rate control in communication networks: shadow prices, proportional fairness and stability," J. Oper. Res. Soc., vol. 49, no. 3, pp. 237-252, Mar. 1998.
[7]
{7} S. H. Low and D. E. Lapsley, "Optimization flow control-I: basic algorithm and convergence," IEEE/ACM Trans. Netw., vol. 7, no. 6, pp. 861-874, Dec. 1999.
[8]
{8} H. Yäiche, R. R. Mazumdar, and C. Rosenberg, "A game theoretic framework for bandwidth allocation and pricing of elastic connections in broad-band networks: theory and algorithms," IEEE/ACM Trans. Netw., vol. 8, no. 5, pp. 667-678, Oct. 2000.
[9]
{9} H. Ji and C.-Y. Huang, "Non-cooperative uplink power control in cellular radio systems," Wireless Netw., vol. 4, no. 3, pp. 233-240, Mar. 1998.
[10]
{10} C. Saraydar, N. B. Mandayam, and D. J. Goodman, "Pareto efficiency of pricing based power control in wireless data networks," Proc. IEEE WCNC'99, pp. 21-24, 1999.
[11]
{11} M. Xiao, N. B. Shroff, and E. K. P. Chong, "A utility-based power control scheme in wireless cellular systems," IEEE/ACM Trans. Netw., vol. 11, no. 2, pp. 210-221, Apr. 2003.
[12]
{12} P. Liu, M. L. Honig, and S. Jordan, "Forward-link CDMA resource allocation based on pricing," Proc. IEEE WCNC'00, pp. 1410-1414, 2000.
[13]
{13} P. Dubey, "Inefficiency of Nash equilibria," Math. Oper. Res., vol. 11, pp. 1-8, 1986.
[14]
{14} P. Marbach and R. Berry, "Downlink resource allocation and pricing for wireless networks," Proc. IEEE INFOCOM, vol. 3, pp. 1470-1479, 2002.
[15]
{15} D. S. C. Tse and S. V. Hanly, "Multiaccess fading channels-part I: polymatroid structure, optimal resource allocation and throughput capacities," IEEE Trans. Inf. Theory, vol. 44, no. 7, pp. 2796-2815, Nov. 1998.
[16]
{16} S. V. Hanly and D. S. C. Tse, "Multiaccess fading channels-part II: delay-limited capacities," IEEE Trans. Inf. Theory, vol. 44, no. 7, pp. 2816-2831, Nov. 1998.
[17]
{17} K. J. A. L. Hurwicz, "Decentralization and computation in resource allocation," in Essays in Economics and Econometrics. Chapel Hill, NC: Univ. of North Carolina Press, 1960, pp. 34-104.
[18]
{18} P. B. Key and D. R. McAuley, "Differential QoS and pricing in networks: where flow control meets game theory," IEE Proc.-Software, vol. 146, no. 1, pp. 39-43, Feb. 1999.
[19]
{19} S. Shenker, "Fundamental design issues for the future Internet," IEEE J. Sel. Areas Commun., vol. 13, no. 7, pp. 1176-1188, Sep. 1995.
[20]
{20} J. G. Proakis, Digital Communications, 4th ed. New York: McGraw Hill, 2000.
[21]
{21} M. Minoux, Mathematical Programming: Theory and Algorithms . New York: Wiley, 1986.
[22]
{22} G. Stuber, Principles of Mobile Communication. Boston, MA: Kluwer, 1996.
[23]
{23} J.-W. Lee, R. R. Mazumdar, and N. B. Shroff, "Joint power and data rate allocation for the downlink in multi-class CDMA wireless networks," presented at the 40th Annu. Allerton Conf. Communications, Control, and Computing, Monticello, IL, 2002.
[24]
{24} J.-W. Lee, R. R. Mazumdar, and N. B. Shroff, "Opportunistic power scheduling for multi-server wireless systems with minimum performance constraints," Proc. IEEE INFOCOM, pp. 1067-1077, Mar. 2004.
[25]
{25} X. Liu, E. K. P. Chong, and N. B. Shroff, "Opportunistic transmission scheduling with resource sharing constraints in wireless networks," IEEE J. Sel. Areas Commun., vol. 19, no. 10, pp. 2053-2065, Oct. 2001.
[26]
{26} X. Liu, E. K. P. Chong, and N. B. Shroff, "A framework for opportunistic scheduling in wireless networks," Comput. Netw., vol. 41, no. 4, pp. 451-474, Mar. 2003.
[27]
{27} Y. Liu and E. Knightly, "Opportunistic fair scheduling over multiple wireless channels," Proc. IEEE INFOCOM, vol. 2, pp. 1106-1115, 2003.

Cited By

View all
  • (2023)Pricing for Reconfigurable Intelligent Surface Aided Wireless Networks: Models and PrinciplesIEEE Network: The Magazine of Global Internetworking10.1109/MNET.108.210063837:3(102-110)Online publication date: 6-Sep-2023
  • (2019)Cluster-based Random Access Scheme for 5G URLLC2019 IEEE International Conference on Advanced Networks and Telecommunications Systems (ANTS)10.1109/ANTS47819.2019.9118080(1-6)Online publication date: 16-Dec-2019
  • (2017)Robust Beamforming Design in C-RAN With Sigmoidal Utility and Capacity-Limited BackhaulIEEE Transactions on Wireless Communications10.1109/TWC.2017.271264516:9(5583-5598)Online publication date: 1-Sep-2017
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image IEEE/ACM Transactions on Networking
IEEE/ACM Transactions on Networking  Volume 13, Issue 4
August 2005
215 pages

Publisher

IEEE Press

Publication History

Published: 01 August 2005
Published in TON Volume 13, Issue 4

Author Tags

  1. downlink
  2. nonconvex optimization
  3. power allocation
  4. wireless networks

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)2
  • Downloads (Last 6 weeks)0
Reflects downloads up to 18 Dec 2024

Other Metrics

Citations

Cited By

View all
  • (2023)Pricing for Reconfigurable Intelligent Surface Aided Wireless Networks: Models and PrinciplesIEEE Network: The Magazine of Global Internetworking10.1109/MNET.108.210063837:3(102-110)Online publication date: 6-Sep-2023
  • (2019)Cluster-based Random Access Scheme for 5G URLLC2019 IEEE International Conference on Advanced Networks and Telecommunications Systems (ANTS)10.1109/ANTS47819.2019.9118080(1-6)Online publication date: 16-Dec-2019
  • (2017)Robust Beamforming Design in C-RAN With Sigmoidal Utility and Capacity-Limited BackhaulIEEE Transactions on Wireless Communications10.1109/TWC.2017.271264516:9(5583-5598)Online publication date: 1-Sep-2017
  • (2017)Cost Efficiency for Economical Mobile Data Traffic Management From Users’ PerspectiveIEEE Transactions on Wireless Communications10.1109/TWC.2016.262361516:1(362-375)Online publication date: 1-Jan-2017
  • (2015)Near-Optimal Downlink Precoding for Two-Tier Priority-Based Wireless NetworksIEEE Transactions on Wireless Communications10.1109/TWC.2014.235582514:2(628-638)Online publication date: 1-Feb-2015
  • (2015)On Joint Power and Admission Control in Underlay Cellular Cognitive Radio NetworksIEEE Transactions on Wireless Communications10.1109/TWC.2014.234086614:1(265-278)Online publication date: 7-Jan-2015
  • (2015)Optimal downlink power allocation in cellular networksPhysical Communication10.1016/j.phycom.2015.07.00117:C(1-14)Online publication date: 1-Dec-2015
  • (2015)Combined power and rate allocation in self-optimized multi-service two-tier femtocell networksComputer Communications10.1016/j.comcom.2015.05.01272:C(38-48)Online publication date: 1-Dec-2015
  • (2015)Mobile association for wireless heterogeneous networks with cooperative relaysTelecommunications Systems10.1007/s11235-014-9918-z60:1(17-27)Online publication date: 1-Sep-2015
  • (2013)Approaches for utility-based qoe-driven optimization of network resource allocation for multimedia servicesDataTraffic Monitoring and Analysis10.5555/2555672.2555689(337-358)Online publication date: 1-Jan-2013
  • Show More Cited By

View Options

Login options

Full Access

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media