Age-Energy Tradeoff in Dual-Hop Status Update Systems with the m-th Best Relay Selection

This paper focuses on the age and energy tradeoff of a generalized m-th best relay selection scheme in a dual-hop status update system, where the destination associates to the relay with the m-th smallest number of receptions. By considering the short blocklength packet and retransmission, the expressions of the average age of information (AoI) and the average energy cost (EC) are derived and analyzed. Then, the weighted sum of average AoI and average EC is introduced and is minimized to tradeoff the average AoI and average EC. Numerical results show that for the generalized m-th best relay selection scheme, the optimal block length can be found to achieve the age and energy tradeoff. In addition, the best relay is not always the most suitable one to update the status especially when the weight coefficient of EC is much larger than that of AoI.

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