Optimal Scheduling in Interference Limited Fading Wireless Networks

We consider the problem of minimum-length scheduling of point-to-point links in a spatial TDMA (STDMA)- based wireless network with Rayleigh fading of both desired and interference signals. The problem formulation integrates the activation of multiple sets of links in the network, while taking into account their explicit statistical variations. We assume uniform (fixed) transmission power at all nodes and propose an algorithm based on a column generation approach, which takes into consideration the signal-to-interference and noise ratio (SINR) constraints at the receivers in order to generate a link schedule that minimizes the schedule length. For the formulated problem, we show that this column generation based approach can converge to a globally optimal solution.

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

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

[3]  Anthony Ephremides,et al.  Multi-hop routing and scheduling in wireless networks subject to SINR constraints , 2007, 2007 46th IEEE Conference on Decision and Control.

[4]  Hanif D. Sherali,et al.  On mixed-integer zero-one representations for separable lower-semicontinuous piecewise-linear functions , 2001, Oper. Res. Lett..

[5]  Paolo Santi,et al.  Computationally efficient scheduling with the physical interference model for throughput improvement in wireless mesh networks , 2006, MobiCom '06.

[6]  A. Ephremides,et al.  Optimization of transmission schedules in capture-based wireless networks , 2008, MILCOM 2008 - 2008 IEEE Military Communications Conference.

[7]  Juyul Lee,et al.  Energy-efficient scheduling of delay constrained traffic over fading channels , 2008, 2008 IEEE International Symposium on Information Theory.

[8]  Tamer A. ElBatt,et al.  Joint scheduling and power control for wireless ad hoc networks , 2002, IEEE Transactions on Wireless Communications.

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

[10]  Hanif D. Sherali,et al.  Linear Programming and Network Flows , 1977 .

[11]  Shahrokh Valaee,et al.  Distributed Link Scheduling for TDMA Mesh Networks , 2007, 2007 IEEE International Conference on Communications.

[12]  Tommy R. Jensen,et al.  Graph Coloring Problems , 1994 .

[13]  Leonard Kleinrock,et al.  Spatial TDMA: A Collision-Free Multihop Channel Access Protocol , 1985, IEEE Trans. Commun..

[14]  Hanif D. Sherali,et al.  A cross-layer approach to end-to-end routing and SINR-based scheduling in multi-hop wireless networks , 2008, 2008 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops.

[15]  Anthony Ephremides,et al.  Scheduling broadcasts in multihop radio networks , 1990, IEEE Trans. Commun..

[16]  Leandros Tassiulas,et al.  Distributed dynamic scheduling for end-to-end rate guarantees in wireless ad hoc networks , 2005, MobiHoc '05.

[17]  Jimmi Grönkvist.  Assignment strategies for spatial reuse TDMA , 2002 .

[18]  Di Yuan,et al.  A column generation method for spatial TDMA scheduling in ad hoc networks , 2004, Ad Hoc Networks.

[19]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[20]  Subramanian Ramanathan,et al.  Scheduling algorithms for multihop radio networks , 1993, TNET.

[21]  Anthony Ephremides,et al.  Distributed algorithm for efficient and interference-free broadcasting in radio networks , 1988, IEEE INFOCOM '88,Seventh Annual Joint Conference of the IEEE Computer and Communcations Societies. Networks: Evolution or Revolution?.

[22]  Elif Uysal-Biyikoglu,et al.  On adaptive transmission for energy efficiency in wireless data networks , 2004, IEEE Transactions on Information Theory.

[23]  Eytan Modiano,et al.  Optimal transmission scheduling over a fading channel with energy and deadline constraints , 2006, IEEE Transactions on Wireless Communications.