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| Notation | Description |
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| The number of sensors |
| The number of mobile sinks |
| The set of sensors |
| The set of mobile sinks |
| Radius of area of the WSN |
| Location profile of sensor n |
| Location profile of mobile sink in time |
| Distance between sensor and sensor |
| Distance between mobile sink and sensor in time |
| The set of nearest sensor from sensor |
| Binary variable to express the near sensor of |
| Density value |
| Ground-to-air propagation model from sensor to mobile sink in time |
| Ground-to-ground propagation model from sensor to sensor |
| Free-space propagation model |
| Environmental factor of the propagation model |
| Center frequency |
| Transmission power of sensor |
| Minimum received signal strength to decode |
| The number of clusters |
| The set of clusters |
| Binary variable to express the cluster header of cluster |
| The set of cluster headers |
| Binary variable to express the member node of cluster |
| Summation of distance between the cluster header and all member nodes of cluster |
| Binary variable to express the path of mobile sink from cluster header to cluster header |
| Total trajectory length of mobile sink |
| Unit energy consumed per unit distance |
| The amount of consuming energy of the th mobile sink |
| The amount of consuming energy of the cluster header |
| The amount of consuming energy of sensor node when its cluster header is |
| Scaling factor |
| A list of density value of sensors in an ascending order |
| A list of residual battery of sensors in a descending order |
| Rank of sensor in |
| Rank of sensor in |
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