Minimum-Length Scheduling for Multicast Traffic under Channel Uncertainty

We consider a set of multicast sources, each multicasting a finite amount of data to its corresponding destinations. The objective is to minimize the time to deliver all traffic, i.e., to obtain schedules of minimum length. We consider time-varying wireless networks with imperfect side information at the sources. We model the minimum-length scheduling problem through partially observable stochastic shortest paths and provide an optimal solution. Due to the high complexity of computing the optimal solution, we finally provide a set of heuristics and illustrate their performance through numerical experiments.

[1]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[2]  R. K. Shyamasundar,et al.  Introduction to algorithms , 1996 .

[3]  Vasilis Friderikos,et al.  Interference Aware Routing for Minimum Frame Length Schedules in Wireless Mesh Networks , 2008, EURASIP J. Wirel. Commun. Netw..

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

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

[6]  S. Patek On partially observed stochastic shortest path problems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

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

[8]  Reid G. Simmons,et al.  Probabilistic Robot Navigation in Partially Observable Environments , 1995, IJCAI.

[9]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Vol. II , 1976 .

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

[11]  R. Simmons,et al.  Probabilistic Navigation in Partially Observable Environments , 1995 .

[12]  Vasilis Friderikos,et al.  ResearchArticle Interference Aware Routing for Minimum Frame Length Schedules in Wireless Mesh Networks , 2008 .

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

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

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