Relay Selection for Over-the-Air Computation Achieving Both Long Lifetime and High Reliability

. 2023 Apr 8;23(8):3824. doi: 10.3390/s23083824

Algorithm 2: Predict the remaining lifetime of the network

Procedure: Find network lifetime
Input: $K$ (Number of nodes), $R$ , $E$ (the set of all nodes’ remaining battery);
Output: $L$ recording the lifetime of each node in $R$ ;
For $i \in R$ do
| Regard node $i$ as relay $r$ , and get remaining energy of all nodes ( $E_{j}, j = 1, \dots, K$ );
| For $j$ = 1, 2, …, $K$ , $j \neq i$ do
| | Calculate the transmission power of node j ( $P_{j}^{i}$ );
| | $L i f e t i m e_{j}^{i} = E_{j} / P_{j}^{i}$ ;
| End
| Network lifetime computation: $L_{i} = \min_{j} L i f e t i m e_{j}^{i}$ ;
End
Return L;