Redundant Movement-assisted Sensor Deployment Based on Virtual Rhomb Grid in Wireless Sensor Networks

In wireless sensor networks (WSN), for energy conservation, selecting only a subset of nodes is active and others are sleep. The problem is represented by the connected dominating set (CDS) of the graph, and the minimum connected dominating set (MCDS) is NP-hard for arbitrary graphs. The deployment is either deterministic or self-organizing. In some situations, different applications can require different redundancy. By analysing both the deployments and considering different redundancy requirement for different applications, the epsi-redundant movement-assisted sensor deployment based on virtual rhomb grid (epsiMSDVRG) is proposed. The epsiMSDVRG algorithm has such characteristics as follows: (1) proposing a measurement standard of node redundancy in WSN; (2) forming a MCDS; (3) no "holes" in the sensor field, which ensures full and seamless coverage of sensing and communication; (4) k (the degree of coverage or connectivity) varies for different applications; and (5) epsi (the redundant degree of sensor nodes) varies for different applications