Deepti Chafekar
Madhav V. Marathe
ABSTRACT
Recently, there has been substantial interest in the design of cross-layer protocols for wireless networks. These protocols optimize certain performance metric(s) of interest (e.g. latency, energy, rate) by jointly optimizing the performance of multiple layers of the protocol stack. Algorithm designers often use geometric-graph-theoretic models for radio interference to design such cross-layer protocols. In this paper we study the problem of designing cross-layer protocols for multi-hop wireless networks using a more realistic Signal to Interference plus Noise Ratio (SINR) model for radio interference. The following cross-layer latency minimization problem is studied: Given a set V of transceivers, and a set of source-destination pairs, (i) choose power levels for all the transceivers, (ii) choose routes for all connections, and (iii) construct an end-to-end schedule such that the SINR constraints are satisfied at each time step so as to minimize the make-span of the schedule (the time by which all packets have reached their respective destinations). We present a polynomial-time algorithm with provable worst-case performance guarantee for this cross-layer latency minimization problem. As corollaries of the algorithmic technique we show that a number of variants of the cross-layer latency minimization problem can also be approximated efficiently in polynomial time. Our work extends the results of Kumar et al. (Proc. SODA, 2004) and Moscibroda et al. (Proc. MOBIHOC, 2006). Although our algorithm considers multiple layers of the protocol stack, it can naturally be viewed as compositions of tasks specific to each layer --- this allows us to improve the overall performance while preserving the modularity of the layered structure.
- P. Bjorklund, P. Varbrand, and D. Yuan, A Column Generation Method for Spatial TDMA Scheduling in Ad Hoc Networks, Ad Hoc Networks, vol. 2, Issue 4, pp. 405--418, 2004.Google Scholar
Cross Ref
- R. Bhatia, and M. Kodialam, On Power Efficient Communication over Multi--hop Wireless Networks: Joint Routing, Scheduling and Power Control, IEEE INFOCOM, vol. 2, pp. 1457--1466, March 2004.Google ScholarCross Ref
- G. Brar, D. Blough, and P. Santi, Computationally Efficient Scheduling with the Physical Interference Model for Throughput Improvement in Wireless Mesh Networks, ACM MOBICOM, pp. 2--13, 2006. Google ScholarDigital Library
- L. Chen, S. Low, M. Chiang, and J. Doyle, Cross-layer Congestion Control, Routing and Scheduling Design in Ad Hoc Wireless Networks, IEEE INFOCOM , pp. 1--13, April 2006.Google ScholarCross Ref
- L. Chen, S. Low, M. Chiang, and J. Doyle, Jointly Optimal Congestion Control, Routing, and Scheduling for Wireless Ad Hoc Networks, IEEE INFOCOM April 2006.Google Scholar
- M. Chiang, S. H. Low, A. R. Calderbank, and J. C. Doyle, Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures, To appear Proceedings of IEEE, vol. 95, Issue 1, pp. 255--312, January 2007.Google Scholar
- H. Chernoff. A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the Sum of Observations. Annals of Mathematical Statistics, vol. 23, Number 4, pp. 493--509, 1952.Google Scholar
- R. L. Cruz, and A. V. Santhanam, Optimal Routing, Link Scheduling and Power Control in Multi-hop Wireless Networks, IEEE INFOCOM, pp. 702--711, March 2003.Google ScholarCross Ref
- T. ElBatt, and A. Ephremides, Joint Scheduling and Power Control for Wireless Ad-hoc Networks, IEEE INFOCOM, vol. 2, pp. 976--985, June 2002.Google ScholarCross Ref
- P. Gupta, and P. Kumar, The Capacity of Wireless Networks, IEEE Transactions on Information Theory, vol. 46, Issue 2, pp. 388--404, March 2000. Google ScholarDigital Library
- D. Knuth, The Art of Computer Programming, Vol. 3 -- Sorting and Searching, Addison-Wesley (1973).Google Scholar
- M. Kodialam, and T. Nandagopal, Characterizing Achievable Rates in Multi-hop Wireless Networks: The Joint Routing and Scheduling problem, ACM MOBICOM, pp. 42 -- 54, September 2003. Google ScholarDigital Library
- G. Kulkarni, V. Raghunathan, and M Srivastava, Joint End-to-End Scheduling, Power Control and Rate Control in Multi-hop Wireless Networks, IEEE GLOBECOM, pp. 3357--3362, December 2004.Google Scholar
- V.S. Anil Kumar, M. Marathe, S. Parthasarathy, and A. Srinivasan, End-to-end Packet-Scheduling in Wireless Ad-Hoc Networks, SODA, pp. 1021--1030, 2004. Google ScholarDigital Library
- F. Kuhn, T. Moscibroda, and R. Wattenhofer, Unit Disk Graph Approximation, ACM Joint Workshop on Foundations of Mobile Computing (DIALM-POMC), October 2004. Google ScholarDigital Library
- T. Leighton, B. Maggs, and S.Rao, Packet Routing and Job Shop Scheduling in O(Congestion+Dilation) steps, Combinatorica, vol. 14, Issue 2, pp. 167--180, 1994.Google ScholarCross Ref
- X. Lin, and N. Shroff, Joint Rate Control and Scheduling in Multihop Wireless Networks, 43rd IEEE Conference on Decision and Control, Paradise Island, vol. 2, pp. 1484--1489, December 2004.Google Scholar
- X. Lin, and N. Shroff, The Impact of Imperfect Scheduling on Cross-layer Rate Control in Multihop Wireless Networks, In IEEE INFOCOM, vol. 3, pp. 1804--1814, March 2005.Google Scholar
- X. Lin, N. Shroff, and R. Srikant, A Tutorial on Cross-Layer Optimization in Wireless Networks, IEEE Journal on Selected Areas in Communications on Non-Linear Optimization of Communication Systems, vol. 24, Issue 8, pp. 1452--1463, June 2006. Google ScholarDigital Library
- T. Moscibroda, R. Wattenhofer and Y. Weber, Protocol Design Beyond Graph-Based Models, 5th Workshop on Hot Topics in Networks (HotNets), November 2006.Google Scholar
- T. Moscibroda, and R. Wattenhofer, The Complexity of Connectivity in Wireless Networks, IEEE INFOCOM , pp. 1--13, April 2006.Google ScholarCross Ref
- T. Moscibroda, R. Wattenhofer, and A. Zollinger, Topology Control Meets SINR: The Scheduling Complexity of Arbitrary Topologies, ACM MOBIHOC , pp. 310--321, 2006. Google ScholarDigital Library
- M. Neely, Optimal Energy and Delay Tradeoffs for Multi-User Wireless Downlinks, IEEE INFOCOM, pp. 1--13, April 2006.Google Scholar
- P. Raghavan. Probabilistic construction of deterministic algorithms: approximating packing integer programs, Journal of Computer and System Sciences, vol. 37, Issue 2, pp. 130--143, October 1988. Google ScholarDigital Library
- P. Raghavan, and S. Thompson. Randomized rounding:a technique for provable good algorithms and algorithmic proofs, Combinatorica, vol.7, pp. 365--374, 1987 Google ScholarDigital Library
- S. Ramanathan, A Unified Framework and Algorithm for (T/F/C) DMA Channel Assignment in Wireless Networks, Proc. IEEE INFOCOM , pp. 900--907, April 1997. Google ScholarDigital Library
- S. Ramanathan, and E. Lloyd, Scheduling Algorithms for Multi-Hop Radio Networks, IEEE/ACM Transactions on Networking, vol. 1, pp. 166--172, 1993. Google ScholarDigital Library
- A. Srinivasan, and C. Teo, A Constant Factor Approximation Algorithm for Packet Routing and Balancing Local vs. Global criteria, SIAM Journal on Computing, vol. 30, pp. 2051--2068, 2001. Google ScholarDigital Library
- V. Vazirani, Approximation Algorithms, Springer-Verlag, Berlin, 2001. Google ScholarDigital Library
- L. Xiao, M. Johansson, and S. Boyd. Simultaneous Routing and Resource Allocation via Dual Decomposition. IEEE Transactions on Communications, vol. 52, Issue 7, pp. 1136--1144, July 2004.Google ScholarCross Ref
Index Terms
- Cross-layer latency minimization in wireless networks with SINR constraints
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