Exact approach to reliability of wireless mesh networks with directional antennas

The paper is devoted to modeling and optimization of reliable wireless mesh networks that employ directional antennas. We introduce two mixed-integer programming formulations that allow to simultaneously characterize routing patterns and transmission schedules. The first model allows for maximizing the minimal flow in a network. The second model involves reliability constraints and aims at minimizing the number of used directional antennas. In both cases locations of mesh routers are known. However, the number of installed radio interfaces and their directions are subject to optimization. We discuss a way of solving a cost minimization problem based on the introduced characterization, and present an extensive numerical study that illustrates the efficiency of the solution algorithm. We also provide an algorithm capable of verifying feasibility of obtained solutions. Moreover, in rare cases of failed verification, the algorithm provides additional constraints that should be added to the problem.

[1]  Aggeliki Sgora,et al.  Fair TDMA scheduling in wireless multihop networks , 2012, Telecommun. Syst..

[2]  Brahim Bensaou,et al.  On max-min fairness and scheduling in wireless ad-hoc networks: analytical framework and implementation , 2001, MobiHoc '01.

[3]  Chien-Chung Shen,et al.  Multicast Communication in Ad Hoc Networks with Directional Antennas , 2005, Telecommun. Syst..

[4]  Yong Pei,et al.  On the capacity improvement of ad hoc wireless networks using directional antennas , 2003, MobiHoc '03.

[5]  Jun Zhang,et al.  Capacity Analysis of Wireless Mesh Networks with Omni or Directional Antennas , 2009, IEEE INFOCOM 2009.

[6]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[7]  Kam-Wing Ng,et al.  On the Capacity of Multi-Channel Wireless Networks Using Directional Antennas , 2008, IEEE INFOCOM 2008 - The 27th Conference on Computer Communications.

[8]  Michal Pioro,et al.  Modeling wireless mesh networks with directional antennas , 2011 .

[9]  C. Bron,et al.  Algorithm 457: finding all cliques of an undirected graph , 1973 .

[10]  Di Yuan,et al.  On max-min fair flow optimization in wireless mesh networks , 2014, Ad Hoc Networks.

[11]  Abdelhakim Hafid,et al.  On the Design of Bi-Connected Wireless Mesh Network Infrastructure with QoS Constraints , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[12]  Deep Medhi,et al.  Routing, flow, and capacity design in communication and computer networks , 2004 .

[13]  Abdelhakim Hafid,et al.  Design of Wireless Mesh Networks: Expansion and Reliability Studies , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[14]  Ian F. Akyildiz,et al.  A survey on wireless mesh networks , 2005, IEEE Communications Magazine.

[15]  Antonio Capone,et al.  Routing, scheduling and channel assignment in Wireless Mesh Networks: Optimization models and algorithms , 2010, Ad Hoc Networks.

[16]  J. Coimbra,et al.  Fault-Tolerance Planning in Multiradio Hybrid WirelessߝOptical Broadband Access Networks , 2009, IEEE/OSA Journal of Optical Communications and Networking.

[17]  Chun-cheng Chen,et al.  Urban Wireless Mesh Network Planning: The Case of Directional Antennas , 2007 .

[18]  Marco Conti,et al.  Mesh networks: commodity multihop ad hoc networks , 2005, IEEE Communications Magazine.

[19]  Rastin Pries,et al.  Effects of link rate assignment on the max-min fair throughput of wireless mesh networks , 2009, 2009 21st International Teletraffic Congress.

[20]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[21]  Stefano Avallone,et al.  A new channel, power and rate assignment algorithm for multi-radio wireless mesh networks , 2008, 2008 1st IFIP Wireless Days.