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Deployment is an important issue in Wireless Sensor Networks (WSNs). There are two categories of deployment methods. One is random deployments; the other, planned deployments. With planned deployments, sensors are placed at planned, pre-determined locations. Aside from the theoretical interest, finding the optimal development pattern has its practical significance. First, sensor nodes still cost close to $100 a piece. Deploying the minimum number of sensors needed certainly is most desirable for the obvious economic reason. Second, insights obtained from optimal deployment patterns can be used to guide the development of heuristic algorithms for topology control, as well as to measure the relative performance of these heuristics as compared to the optimal one.
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