Broadcasting and Topology Control in Wireless Ad Hoc Networks

Network wide broadcasting in Mobile Ad Hoc Networks (MANET) provides important control and route establishment functionality for a number of unicast and multicast protocols. We present an overview of the recent progress of broadcasting and multicasting in wireless ad hoc networks. We discuss two energy models that could be used for broadcast: one is non-adjustable power and one is adjustable power. If the power consumed at each node is not adjustable, minimizing the total power used by a reliable broadcast tree is equivalent to the minimum connected dominating set problem (MCDS), i.e., minimize the number of nodes that relay the message, since all relaying nodes of a reliable broadcast form a connected dominating set (CDS). If the power consumed at each node is adjustable, we assume that the power consumed by a relay node u is ‖uv‖ , where real number β ∈ [2, 5] depends on transmission environment and v is the farthest neighbor of u in the broadcast tree. For both models, we reviewed several centralized methods that compute broadcast trees consuming the energy within a constant factor of the optimum if the original communication graph is unit disk graph. Since centralized methods are expensive to implement, We further reviewed several localized methods that can approximate the minimum energy broadcast tree for non-adjustable power case. For adjustable power case, no localized methods can approximate the minimum energy broadcast tree and thus review several currently best possible heuristics. Several local improvement methods and activity scheduling of nodes (active, idle, sleep) are also

[1]  Yu-Chee Tseng,et al.  The Broadcast Storm Problem in a Mobile Ad Hoc Network , 1999, Wirel. Networks.

[2]  Xiang-Yang Li,et al.  Localized Algorithms for Energy Efficient Topology in Wireless Ad Hoc Networks , 2004, MobiHoc '04.

[3]  Srdjan Capkun,et al.  GPS-free Positioning in Mobile Ad Hoc Networks , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[4]  J. Cartigny,et al.  Border Node Retransmission Based Probabilistic Broadcast Protocols in Ad-Hoc Networks , 2003 .

[5]  Anis Laouiti,et al.  Multipoint Relaying: An Efficient Technique for Flooding in Mobile Wireless Networks , 2000 .

[6]  Mohammad Ilyas,et al.  Smart Dust , 2006 .

[7]  Ravi Prakash,et al.  Load-balancing clusters in wireless ad hoc networks , 2000, Proceedings 3rd IEEE Symposium on Application-Specific Systems and Software Engineering Technology.

[8]  Julio Solano-González,et al.  Connectivity Based k-Hop Clustering in Wireless Networks , 2003, Telecommun. Syst..

[9]  Andrea E. F. Clementi,et al.  On the Power Assignment Problem in Radio Networks , 2004, Mob. Networks Appl..

[10]  Ivan Stojmenovic,et al.  Partial Delaunay triangulation and degree limited localized Bluetooth scatternet formation , 2004, IEEE Transactions on Parallel and Distributed Systems.

[11]  Xiang-Yang Li,et al.  Localized Construction of Low Weighted Structure and Its Applications in Wireless Ad Hoc Networks , 2005, Wirel. Networks.

[12]  Deying Li,et al.  A polynomial‐time approximation scheme for the minimum‐connected dominating set in ad hoc wireless networks , 2003, Networks.

[13]  L J.,et al.  Efficient and Scalable Information Dissemination in Mobile Ad hoc Networks � , 2002 .

[14]  Stefano Basagni,et al.  Distributed clustering for ad hoc networks , 1999, Proceedings Fourth International Symposium on Parallel Architectures, Algorithms, and Networks (I-SPAN'99).

[15]  Ram Ramanathan,et al.  On the scalability of ad hoc routing protocols , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[16]  Deborah Estrin,et al.  Geography-informed energy conservation for ad hoc networks , 2001, ACM/IEEE International Conference on Mobile Computing and Networking.

[17]  Jie Wu,et al.  A Dominating-Set-Based Routing Scheme in Ad Hoc Wireless Networks , 2001, Telecommun. Syst..

[18]  Xiang-Yang Li,et al.  Efficient Topology Control for Ad-Hoc Wireless Networks with Non-Uniform Transmission Ranges , 2005, Wirel. Networks.

[19]  Xiang-Yang Li,et al.  Geometric Spanners for Wireless Ad Hoc Networks , 2003, IEEE Trans. Parallel Distributed Syst..

[20]  Giri Narasimhan,et al.  A new way to weigh Malnourished Euclidean graphs , 1995, SODA '95.

[21]  Xiang-Yang Li,et al.  Minimum-energy broadcast routing in static ad hoc wireless networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[22]  Andrea E. F. Clementi,et al.  On the Complexity of Computing Minimum Energy Consumption Broadcast Subgraphs , 2001, STACS.

[23]  Arindam Kumar Das,et al.  Minimum power broadcast trees for wireless networks: integer programming formulations , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[24]  Robert J. Marks,et al.  Minimum power broadcast trees for wireless networks: optimizing using the viability lemma , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[25]  Tracy Camp,et al.  Comparison of broadcasting techniques for mobile ad hoc networks , 2002, MobiHoc '02.

[26]  Xiang-Yang Li,et al.  Robust wireless ad hoc networks , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[27]  Vaduvur Bharghavan,et al.  Routing in ad-hoc networks using minimum connected dominating sets , 1997, Proceedings of ICC'97 - International Conference on Communications.

[28]  Gene Tsudik,et al.  Flooding for reliable multicast in multi-hop ad hoc networks , 1999, DIALM '99.

[29]  Jie Wu,et al.  Distributed dominant pruning in ad hoc networks , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[30]  Mario Gerla,et al.  On-demand multicast in mobile wireless networks , 1998, Proceedings Sixth International Conference on Network Protocols (Cat. No.98TB100256).

[31]  Anthony Ephremides,et al.  The energy efficiency of distributed algorithms for broadcasting in ad hoc networks , 2002, The 5th International Symposium on Wireless Personal Multimedia Communications.

[32]  Peng-Jun Wan,et al.  New distributed algorithm for connected dominating set in wireless ad hoc networks , 2002, Proceedings of the 35th Annual Hawaii International Conference on System Sciences.

[33]  Ion I. Mandoiu,et al.  Selecting Forwarding Neighbors in Wireless Ad Hoc Networks , 2001, DIALM '01.

[34]  Miodrag Potkonjak,et al.  Coverage problems in wireless ad-hoc sensor networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[35]  Harry B. Hunt,et al.  Simple heuristics for unit disk graphs , 1995, Networks.

[36]  Maw-Sheng Chern,et al.  An efficient distributed algorithm for minimal connected dominating set problem , 1991, [1991 Proceedings] Tenth Annual International Phoenix Conference on Computers and Communications.

[37]  Godfried T. Toussaint,et al.  The relative neighbourhood graph of a finite planar set , 1980, Pattern Recognit..

[38]  Mahtab Seddigh,et al.  Dominating Sets and Neighbor Elimination-Based Broadcasting Algorithms in Wireless Networks , 2002, IEEE Trans. Parallel Distributed Syst..

[39]  Yu Wang,et al.  Low weighted structures and inter-nal node based broadcasting schemes for wireless ad hoc networks , 2003 .

[40]  Deborah Estrin,et al.  Next Century Challenges: Mobile Networking for Smart Dust , 1999, MobiCom 1999.

[41]  Gregory J. Pottie,et al.  Wireless integrated network sensors , 2000, Commun. ACM.

[42]  Andrzej Pelc,et al.  Power consumption in packet radio networks , 2000, Theor. Comput. Sci..

[43]  Ivan Stojmenovic,et al.  Localized minimum-energy broadcasting in ad-hoc networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[44]  Vasek Chvátal,et al.  A Greedy Heuristic for the Set-Covering Problem , 1979, Math. Oper. Res..

[45]  Martin Nilsson,et al.  Investigating the energy consumption of a wireless network interface in an ad hoc networking environment , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[46]  Peng-Jun Wan,et al.  Message-optimal connected dominating sets in mobile ad hoc networks , 2002, MobiHoc '02.

[47]  Anthony McAuley,et al.  AMRoute: Adhoc Multicast Routing Protocol , 1999 .

[48]  Mario Gerla,et al.  Adaptive Clustering for Mobile Wireless Networks , 1997, IEEE J. Sel. Areas Commun..

[49]  Alex Zelikovsky,et al.  Improved Steiner tree approximation in graphs , 2000, SODA '00.

[50]  Xiang-Yang Li,et al.  Approximate MST for UDG Locally , 2003, COCOON.

[51]  Dave Maltz,et al.  A Simple Protocol for Multicast and Broadcast in Mobile Ad Hoc Networks , 2001 .

[52]  Anthony Ephremides,et al.  On the construction of energy-efficient broadcast and multicast trees in wireless networks , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[53]  Miodrag Potkonjak,et al.  Wireless Sensor Networks , 2003 .

[54]  Charles E. Perkins,et al.  Ad hoc On-Demand Distance Vector (AODV) Routing , 2001, RFC.

[55]  Ronald L. Rivest,et al.  Introduction to Algorithms , 1990 .

[56]  Jie Wu,et al.  Domination and its applications in ad hoc wireless networks with unidirectional links , 2000, Proceedings 2000 International Conference on Parallel Processing.

[57]  Paolo Santi,et al.  Investigating upper bounds on network lifetime extension for cell-based energy conservation techniques in stationary ad hoc networks , 2002, MobiCom '02.

[58]  David Simplot,et al.  Localized energy efficient broadcast for wireless networks with directional antennas , 2002 .

[59]  Xiang-Yang Li,et al.  Localized low-weight graph and its applications in wireless ad hoc networks , 2004, IEEE INFOCOM 2004.

[60]  P. Berman,et al.  Applications of the Matroid Parity Problem to Approximating Steiner Trees , 1998 .

[61]  Xiang-Yang Li,et al.  Geometric spanners for wireless ad hoc networks , 2002, Proceedings 22nd International Conference on Distributed Computing Systems.

[62]  Nen-Fu Huang,et al.  On the complexity of some arborescences finding problems on a multihop radio network , 1989, BIT Comput. Sci. Sect..

[63]  Chong-kwon Kim,et al.  Multicast tree construction and flooding in wireless ad hoc networks , 2000, MSWIM '00.

[64]  Samir Khuller,et al.  Approximation Algorithms for Connected Dominating Sets , 1996, Algorithmica.

[65]  Xiang-Yang Li,et al.  Coverage in wireless ad-hoc sensor networks , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[66]  Jie Wu,et al.  Power-aware broadcasting and activity scheduling in ad hoc wireless networks using connected dominating sets , 2003, Wirel. Commun. Mob. Comput..

[67]  Jie Wu,et al.  Forward-node-set-based broadcast in clustered mobile ad hoc networks , 2003, Wirel. Commun. Mob. Comput..

[68]  RNG and internal node based broadcasting algorithms for wireless one-to-one networks , 2001, MOCO.

[69]  Lujun Jia,et al.  An efficient distributed algorithm for constructing small dominating sets , 2002, Distributed Computing.

[70]  Wei Peng,et al.  On the reduction of broadcast redundancy in mobile ad hoc networks , 2000, 2000 First Annual Workshop on Mobile and Ad Hoc Networking and Computing. MobiHOC (Cat. No.00EX444).

[71]  Gruia Calinescu Computing 2-Hop Neighborhoods in Ad Hoc Wireless Networks , 2003, ADHOC-NOW.

[72]  Xin Li,et al.  Localized delaunay triangulation with application in wireless ad hoc networks , 2002 .

[73]  Xiang-Yang Li,et al.  Localized Construction of Bounded Degree and Planar Spanner for Wireless Ad Hoc Networks , 2003, DIALM-POMC '03.

[74]  Y. C. Tay,et al.  Ad hoc Multicast Routing protocol utilizing Increasing id-numberS (AMRIS) Functional Specification , 1999 .

[75]  Ravi Prakash,et al.  Max-min d-cluster formation in wireless ad hoc networks , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[76]  Jean-Pierre Hubaux,et al.  Minimum-energy broadcast in all-wireless networks: NP-completeness and distribution issues , 2002, MobiCom '02.

[77]  Satish Kumar,et al.  Next century challenges: scalable coordination in sensor networks , 1999, MobiCom.

[78]  Fulu Li,et al.  On minimum-energy broadcasting in all-wireless networks , 2001, Proceedings LCN 2001. 26th Annual IEEE Conference on Local Computer Networks.

[79]  Deborah Estrin,et al.  Directed diffusion: a scalable and robust communication paradigm for sensor networks , 2000, MobiCom '00.

[80]  Ivan Stojmenovic,et al.  Area-based beaconless reliable broadcasting in sensor networks , 2006, Int. J. Sens. Networks.

[81]  Ivan Stojmenovic,et al.  Target transmission radius over LMST for energy-efficient broadcast protocol in ad hoc networks , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[82]  Xiang-Yang Li,et al.  dBBlue: low diameter and self-routing Bluetooth scatternet , 2005, J. Parallel Distributed Comput..

[83]  Lui Sha,et al.  Design and analysis of an MST-based topology control algorithm , 2003, IEEE Transactions on Wireless Communications.

[84]  Harry B. Hunt,et al.  NC-Approximation Schemes for NP- and PSPACE-Hard Problems for Geometric Graphs , 1998, J. Algorithms.

[85]  Ivan Stojmenovic,et al.  Localized LMST and RNG based minimum-energy broadcast protocols in ad hoc networks , 2005, Ad Hoc Networks.

[86]  Jie Wu,et al.  New metrics for dominating set based energy efficient activity scheduling in ad hoc networks , 2003, 28th Annual IEEE International Conference on Local Computer Networks, 2003. LCN '03. Proceedings..

[87]  Robert Tappan Morris,et al.  Span: An Energy-Efficient Coordination Algorithm for Topology Maintenance in Ad Hoc Wireless Networks , 2002, Wirel. Networks.

[88]  Weifa Liang,et al.  Constructing minimum-energy broadcast trees in wireless ad hoc networks , 2002, MobiHoc '02.

[89]  Wolfgang Maass,et al.  Approximation schemes for covering and packing problems in image processing and VLSI , 1985, JACM.

[90]  Peng-Jun Wan,et al.  Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[91]  Imrich Chlamtac,et al.  A new approach to the design and analysis of peer‐to‐peer mobile networks , 1999, Wirel. Networks.