On “Movement-Assisted Connectivity Restoration in Wireless Sensor and Actor Networks”

In wireless sensor and actor networks (WSANs), a set of static sensor nodes and a set of (mobile) actor nodes form a network that performs distributed sensing and actuation tasks. In [1], Abbasi et al. presented DARA, a Distributed Actor Recovery Algorithm, which restores the connectivity of the interactor network by efficiently relocating some mobile actors when failure of an actor happens. To restore 1 and 2-connectivity of the network, two algorithms are developed in [1]. Their basic idea is to find the smallest set of actors that needs to be repositioned to restore the required level of connectivity, with the objective to minimize the movement overhead of relocation. Here, we show that the algorithms proposed in [1] will not work smoothly in all scenarios as claimed and give counterexamples for some algorithms and theorems proposed in [1]. We then present a general actor relocation problem and propose methods that will work correctly for several subsets of the problems. Specifically, our method does result in an optimum movement strategy with minimum movement overhead for the problems studied in [1].

[1]  K. J. Ray Liu,et al.  Improving Connectivity via Relays Deployment in Wireless Sensor Networks , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[2]  C.J.H. Mann,et al.  Handbook of Approximation: Algorithms and Metaheuristics , 2008 .

[3]  Yu Wang,et al.  Robust deployment and fault tolerant topology control for wireless ad hoc networks , 2003 .

[4]  Samir Khuller,et al.  Relay Placement for Higher Order Connectivity in Wireless Sensor Networks , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[5]  Xiang-Yang Li,et al.  Fault tolerant deployment and topology control in wireless networks , 2003, MobiHoc '03.

[6]  Andrzej Lingas,et al.  Approximation Schemes for Minimum-Cost k-Connectivity Problems in Geometric Graphs , 2007, Handbook of Approximation Algorithms and Metaheuristics.

[7]  Xiang-Yang Li,et al.  Asymptotic distribution of the number of isolated nodes in wireless ad hoc networks with Bernoulli nodes , 2003, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003..

[8]  N. Li,et al.  Improving connectivity of wireless ad hoc networks , 2005, The Second Annual International Conference on Mobile and Ubiquitous Systems: Networking and Services.

[9]  Xiang-Yang Li,et al.  Fault tolerant deployment and topology control in wireless ad hoc networks , 2004, Wirel. Commun. Mob. Comput..

[10]  Lusheng Wang,et al.  Relay sensor placement in wireless sensor networks , 2008, Wirel. Networks.

[11]  Ameer Ahmed Abbasi,et al.  Movement-Assisted Connectivity Restoration in Wireless Sensor and Actor Networks , 2009, IEEE Transactions on Parallel and Distributed Systems.

[12]  Yuguang Fang,et al.  Detecting Coverage Boundary Nodes in Wireless Sensor Networks , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[13]  K. J. Ray Liu,et al.  Connectivity-aware network maintenance and repair via relays deployment , 2009, IEEE Transactions on Wireless Communications.

[14]  Ahmed E. Kamal,et al.  On the Minimum k-Connectivity Repair in Wireless Sensor Networks , 2009, 2009 IEEE International Conference on Communications.

[15]  Shaojie Tang,et al.  Canopy closure estimates with GreenOrbs: sustainable sensing in the forest , 2009, SenSys '09.

[16]  Nuzhet Atay,et al.  Mobile Wireless Sensor Network Connectivity Repair with K-Redundancy , 2008, WAFR.

[17]  Hai Liu,et al.  A localized algorithm for bi-connectivity of connected mobile robots , 2009, Telecommun. Syst..

[18]  Reinhard Diestel,et al.  Graph Theory , 1997 .

[19]  Xiang-Yang Li,et al.  Asymptotic distribution of the number of isolated nodes in wireless ad hoc networks with Bernoulli nodes , 2006, IEEE Transactions on Communications.

[20]  Giuseppe Thadeu Freitas de Abreu,et al.  Network boundary recognition via graph-theory , 2008, 2008 5th Workshop on Positioning, Navigation and Communication.

[21]  Kemal Akkaya,et al.  Distributed Recovery of Actor Failures in Wireless Sensor and Actor Networks , 2008, 2008 IEEE Wireless Communications and Networking Conference.