
Cross-Layer Designs in Energy Dynamic Networks 121
P
1
Predecessors Successors
p
1
...
Wakeup
Timeline
p
2
...
A
P
2
P
3
S
1
S
2
A A
S
1
S
1
S
2
Predecessors
Successors
A
Figure 4.7: Cross-traffic delay modeling.
one link between P
i
and A. Suppose the bi-directional link quality q denotes
the success ratio of a round-trip transmission (DATA and ACK) between node
A and node P
i
. The probability that the packet reaches node A at its i
th
at-
tempt can be expressed as P (i)=(1− q)
i−1
q. For a packet ready time t at
node P
i
, the expected transmission delay to reach node A is the sum of the
product of probability that the packet reaches node A at its i
th
attempt and
corresponding sleep latency ...