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The transmission power consumed by each relay node (3) can be expressed as E t r x r, i x r, i H = tr F i H s r, i B B H H s r, i H + I N r F i H, i = 1, ⋯, K, (6).
The transmission power consumed by each relay node can be expressed as E [ tr ( x r, i x r, i H ) ] = tr F i H sr, i B B H H sr, i H + I N r F i H, i = 1, …, K (7).
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We have also investigated, using a new heuristic for the Traveling Salesman Problem with Neighborhood (TSPN), the possibility of further reducing the MDC trajectory length by finding, for each relay node, a suitable point in its neighborhood to be visited by the MDC, while guaranteeing some feasible network lifetime.
The transmit power of each relay node is denoted by E i.
Furthermore, we assume that the power of each symbol transmitted by the relay node is, which satisfies, similarly as above, (10).
We consider a system in which the packet exchange among multiple wireless users is forwarded by a relay node.
With the harvested energy at the relay node, one wireless information node and one wireless energy harvest node are served simultaneously by the relay node in the second resource block.
We compute the trust of the relay nodes by (a) computing the number of messages forwarded by the relay nodes by analyzing the overheard messages of source node and watchdog nodes, (b) checking the contents of the message forwarded by the relay node, and (c) by investigating if the relay node generate its own control messages.
The service provided by this relay node is the data service in this context.
During the BC stage, source nodes estimate the broadcast symbol by the relay node (estimated sum of two symbols).
For this case, the ergodic rate of D2D communication aided by the relay node are given in the following corollary.
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