Fast Algorithms for Resource Allocation in Wireless Cellular Networks

We consider a scheduled orthogonal frequency division multiplexed (OFDM) wireless cellular network where the channels from the base-station to the n mobile users undergo flat fading. Spectral resources are to be divided among the users in order to maximize total user utility. We show that this problem can be cast as a nonlinear convex optimization problem, and describe an O(n) algorithm to solve it. Computational experiments show that the algorithm typically converges in around 25 iterations, where each iteration has a cost that is O(n), with a modest constant. When the algorithm starts from an initial resource allocation that is close to optimal, convergence typically takes even fewer iterations. Thus, the algorithm can efficiently track the optimal resource allocation as the channel conditions change due to fading. We also show how our techniques can be extended to solve resource allocation problems that arise in wideband networks with frequency selective fading and when the utility of a user is also a function of the resource allocations in the past.

[1]  R. Srikant,et al.  Scheduling Real-Time Traffic With Deadlines over a Wireless Channel , 1999, WOWMOM '99.

[2]  Stephen J. Wright.  Primal-Dual Interior-Point Methods , 1997, Other Titles in Applied Mathematics.

[3]  John M. Cioffi,et al.  Optimal Resource Allocation for OFDMA Downlink Systems , 2006, 2006 IEEE International Symposium on Information Theory.

[4]  D. Julian,et al.  Adaptive management of network resources , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[5]  Peerapol Tinnakornsrisuphap,et al.  On the Fairness of the Reverse-Link MAC Layer in cdma2000 1xEV-DO , 2004 .

[6]  Alexander L. Stolyar,et al.  Scheduling for multiple flows sharing a time-varying channel: the exponential rule , 2000 .

[7]  Stephen P. Boyd,et al.  Simultaneous routing and power allocation in CDMA wireless data networks , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[8]  G. J. Foschini,et al.  Digital communications over fading radio channels , 1983, The Bell System Technical Journal.

[9]  Sundeep Rangan,et al.  Distributed Uplink Power Control for Optimal SIR Assignment in Cellular Data Networks , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[10]  Andrea Goldsmith,et al.  Wireless Communications , 2005, 2021 15th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS).

[11]  Leandros Tassiulas,et al.  Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks , 1992 .

[12]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[13]  John M. Cioffi,et al.  Multiuser transmit optimization for multicarrier broadcast channels: asymptotic FDMA capacity region and algorithms , 2004, IEEE Transactions on Communications.

[14]  Alexander L. Stolyar,et al.  Greedy primal-dual algorithm for dynamic resource allocation in complex networks , 2006, Queueing Syst. Theory Appl..

[15]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[16]  Hui Liu,et al.  An efficient multiuser loading algorithm for OFDM-based broadband wireless systems , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[17]  Philip A. Whiting,et al.  Convergence of proportional-fair sharing algorithms under general conditions , 2004, IEEE Transactions on Wireless Communications.

[18]  C. Kelley.  Solving Nonlinear Equations with Newton's Method , 1987 .

[19]  Mung Chiang,et al.  Cross-Layer Congestion Control, Routing and Scheduling Design in Ad Hoc Wireless Networks , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[20]  R. Srikant,et al.  Fair Resource Allocation in Wireless Networks Using Queue-Length-Based Scheduling and Congestion Control , 2005, IEEE/ACM Transactions on Networking.

[21]  Peerapol Tinnakornsrisuphap,et al.  On the fairness and stability of the reverse-link MAC layer in cdma2000 1/spl times/EV-DO , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[22]  Alexander L. Stolyar,et al.  Scheduling algorithms for a mixture of real-time and non-real-time data in HDR , 2001 .

[23]  Jack M. Holtzman,et al.  Asymptotic analysis of proportional fair algorithm , 2001, 12th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications. PIMRC 2001. Proceedings (Cat. No.01TH8598).

[24]  Eytan Modiano,et al.  Dynamic power allocation and routing for time varying wireless networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[25]  Scott Jordan,et al.  Throughput in Processor-Sharing Queues , 2007, IEEE Transactions on Automatic Control.

[26]  Khaled Ben Letaief,et al.  Multiuser adaptive subcarrier-and-bit allocation with adaptive cell selection for OFDM systems , 2004, IEEE Transactions on Wireless Communications.

[27]  Eytan Modiano,et al.  Power and server allocation in a multi-beam satellite with time varying channels , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[28]  Leandros Tassiulas,et al.  Resource Allocation and Cross-Layer Control in Wireless Networks , 2006, Found. Trends Netw..

[29]  Sem C. Borst.  User-level performance of channel-aware scheduling algorithms in wireless data networks , 2005, IEEE/ACM Transactions on Networking.

[30]  Philip A. Whiting,et al.  SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES , 2004, Probability in the Engineering and Informational Sciences.

[31]  Rajeev Agrawal,et al.  Downlink scheduling and resource allocation for OFDM systems , 2009, IEEE Transactions on Wireless Communications.

[32]  Pablo Soldati,et al.  Mathematical decomposition techniques for distributed cross-layer optimization of data networks , 2006, IEEE Journal on Selected Areas in Communications.

[33]  Leandros Tassiulas,et al.  Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks , 1990, 29th IEEE Conference on Decision and Control.

[34]  Andrea J. Goldsmith,et al.  Joint routing, MAC, and link layer optimization in sensor networks with energy constraints , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[35]  Kwang Bok Lee,et al.  Transmit power adaptation for multiuser OFDM systems , 2003, IEEE J. Sel. Areas Commun..

[36]  Lang long,et al.  On cross-layer design of wireless networks , 2004, Proceedings of the IEEE 6th Circuits and Systems Symposium on Emerging Technologies: Frontiers of Mobile and Wireless Communication (IEEE Cat. No.04EX710).

[37]  Leandros Tassiulas,et al.  A framework for cross-layer design of energy-efficient communication with QoS provisioning in multi-hop wireless networks , 2004, IEEE INFOCOM 2004.

[38]  Alexander L. Stolyar,et al.  On the Asymptotic Optimality of the Gradient Scheduling Algorithm for Multiuser Throughput Allocation , 2005, Oper. Res..

[39]  Na Chen,et al.  Downlink Scheduling with Probabilistic Guarantees on Short-Term Average Throughputs , 2008, 2008 IEEE Wireless Communications and Networking Conference.