Minimum-length scheduling with rate control in wireless networks: a shortest path approach

In this paper, the minimum-length scheduling problem in wireless networks is studied, where each source of traffic has a finite amount of data to deliver to its corresponding destination. Our objective is to obtain a joint scheduling and rate control policy to minimize the total time required to deliver this finite amount of data from all sources. First, networks with time-invariant channels are considered. An optimal solution is provided by formulating the minimum-length scheduling problem as finding a shortest path on a single-source directed acyclic graph. However, finding the shortest paths is computationally hard since the number of vertices and edges of the graph increases exponentially in the number of network nodes, as well as in the initial traffic demand values. Toward this end, a simplified version of the problem is considered for which we explicitly characterize the optimal solution. Next, our results are generalized to time-varying channels. First, it is shown that in case of time-varying channels, the minimum-length scheduling problem can be formulated as a stochastic shortest path problem and then an optimal policy is provided that is based on stochastic control. Finally, our analytical results are illustrated with a set of numerical examples.

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

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

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

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

[5]  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?.

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

[7]  F. Richard Yu,et al.  An energy-efficient cooperative spectrum sensing scheme for cognitive radio networks , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

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

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

[10]  Hanif D. Sherali,et al.  A cross-layer approach to end-to-end routing and SINR-based scheduling in multi-hop wireless networks , 2008, WiOpt 2008.

[11]  Hanif D. Sherali,et al.  On Optimal SINR-Based Scheduling in Multihop Wireless Networks , 2010, IEEE/ACM Transactions on Networking.

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

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

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

[15]  Steven A. Borbash.  Design considerations in wireless sensor networks , 2004 .

[16]  R. Srikant,et al.  A tutorial on cross-layer optimization in wireless networks , 2006, IEEE Journal on Selected Areas in Communications.

[17]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control 3rd Edition, Volume II , 2010 .

[18]  M. Motani,et al.  Cross-layer design: a survey and the road ahead , 2005, IEEE Communications Magazine.

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

[20]  Anthony Ephremides,et al.  A Cross-Layer View of Optimal Scheduling , 2010, IEEE Transactions on Information Theory.

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

[22]  M. van der Schaar,et al.  Cross-layer wireless multimedia transmission: challenges, principles, and new paradigms , 2005, IEEE Wireless Communications.

[23]  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.

[24]  Theodore S. Rappaport,et al.  Cross-layer design for wireless networks , 2003, IEEE Commun. Mag..

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

[26]  Tuna Tugcu,et al.  Applications of the cross-layer paradigm for improving the performance of WiMax [Accepted from Open Call] , 2010, IEEE Wireless Communications.