Optimal Power Allocation of Cooperative Transmission 93
In other words, for each packet from node i,arelayj is selected that mini-
mizes
p
i,j
(t)+q
i,j
(t) among those in i’s cooperative region at t.IfR
i
(t)=∅,
r
i
(t)=null.
Note that the Min-Total-Power selection rule is myopic in nature since
the selection is based only on the projected power consumptions of itself and
other potential relay nodes for the upcoming transmission at each
t, but not on
the past energy consumptions of itself or other nodes. However, it is easy to
see that, though simple, the Min-Total-Power rule is optimal (among all relay
selection rules) in the sense that it minimizes the total energy consumption
of the network,
i∈N
E
i
(t
1
: t
2
) for any time interval [t
1
,t
2
], and hence
maximizes ...