The scheduling problem in wireless networks

We describe the fundamental issue of scheduling the allocation of wireless network resources and provide several formulations of the associated problems. The emphasis is on scheduling transmission attempts. We place this problem in the context of existing approaches, like information theoretic and traditional network theoretic ones, as well as novel avenues that open up the possibility of addressing this issue for non-stationary and non-ergodic environments. We summarize concrete recent results for specific special cases that include unicast and multicast traffic, different objective functions, and reduced complexity versions of the problem. We conclude with some thoughts for future work. We identify and single out the cross-layer nature of the problem and include a simple physical-layer criterion in what is mostly a medium access control (MAC) problem.

[1]  Bruce E. Hajek,et al.  Link scheduling in polynomial time , 1988, IEEE Trans. Inf. Theory.

[2]  Anthony Ephremides,et al.  What is optimal scheduling in wireless networks? , 2008, WICON.

[3]  A. Ephremides,et al.  A cross-layer view of wireless multicast optimization , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[4]  Anthony Ephremides,et al.  Revisiting the optimal scheduling problem , 2008, 2008 42nd Annual Conference on Information Sciences and Systems.

[5]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[6]  Anthony Ephremides,et al.  A cross-layer view of wireless multicasting under uncertainty , 2009, 2009 IEEE Information Theory Workshop on Networking and Information Theory.

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

[8]  Anthony Ephremides,et al.  Optimal rate control policies for proportional fairness in wireless networks , 2008, 2008 42nd Annual Conference on Information Sciences and Systems.

[9]  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).

[10]  Erdal Arikan,et al.  Some complexity results about packet radio networks , 1983, IEEE Trans. Inf. Theory.

[11]  Jean C. Walrand,et al.  Fair end-to-end window-based congestion control , 2000, TNET.

[12]  Lin Xiao,et al.  Cross-layer optimization of wireless networks using nonlinear column generation , 2006, IEEE Transactions on Wireless Communications.

[13]  Anthony Ephremides,et al.  Minimum-Length Scheduling for Multicast Traffic under Channel Uncertainty , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

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

[15]  Anthony Ephremides,et al.  Minimum-length scheduling and rate control for time-varying wireless networks , 2009, MILCOM 2009 - 2009 IEEE Military Communications Conference.

[16]  Anthony Ephremides,et al.  Wireless Link Scheduling With Power Control and SINR Constraints , 2006, IEEE Transactions on Information Theory.

[17]  Anthony Ephremides,et al.  A Cross-layer Approach to Optimal Wireless Link Scheduling with SINR Constraints , 2007, MILCOM 2007 - IEEE Military Communications Conference.

[18]  Harish Viswanathan,et al.  Dynamic Algorithms for Multicast With Intra-Session Network Coding , 2009, IEEE Transactions on Information Theory.

[19]  John N. Tsitsiklis,et al.  Introduction to linear optimization , 1997, Athena scientific optimization and computation series.

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

[21]  Anthony Ephremides,et al.  On the throughput, capacity, and stability regions of random multiple access , 2005, IEEE Transactions on Information Theory.

[22]  A. Ephremides,et al.  Minimum schedule lengths with rate control in wireless networks , 2008, MILCOM 2008 - 2008 IEEE Military Communications Conference.