Energy Efficient Alert in Single-Hop Networks of Extremely Weak Devices

We present an alert algorithm for single-hop radio networks with polylogarithmic time complexity and sublogarithmic energy complexity. Our algorithm works correctly with high probability independently of the number of sensors that try to broadcast an alert signal. Moreover, we show that it can be made fairly robust against node failures. We show a lower bound for energy cost that matches the energy cost of our algorithm. Our solution has very weak computing communication and storage requirements and therefore can be applied for a system containing extremely weak devices.