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1614 JOURNAL OF COMPUTERS, VOL. 8, NO. 6, JUNE 2013<br />
covered by those active nodes at some time.<br />
As shown <strong>in</strong> Figure 6, the network coverage is<br />
reduc<strong>in</strong>g with the network runn<strong>in</strong>g us<strong>in</strong>g both the two<br />
algorithms. The higher the network coverage required,<br />
the shorter survival time of the network. Dur<strong>in</strong>g the <strong>in</strong>itial<br />
operation, the two algorithms have ma<strong>in</strong>ta<strong>in</strong>ed a higher<br />
coverage rate. But with the operation of network, more<br />
and more nodes exhausted their energy, the network<br />
coverage also decreased. Furthermore, the coverage rate<br />
of ECBS is always higher than LDAS at the same round<br />
dur<strong>in</strong>g the whole runn<strong>in</strong>g time.<br />
100<br />
80<br />
(a)<br />
LDAS<br />
the number of active nodes<br />
160<br />
140<br />
120<br />
100<br />
80<br />
60<br />
40<br />
θ=90%,LDAS<br />
θ=85%,LDAS<br />
θ=90%,ECBS<br />
θ=85%,ECBS<br />
60<br />
20<br />
network coverage<br />
1<br />
0.95<br />
0.9<br />
0.85<br />
0.8<br />
0.75<br />
0.7<br />
0.65<br />
40<br />
20<br />
0<br />
-20 0 20 40 60 80 100 120<br />
(b)<br />
ECBS<br />
Figure 5 The coverage condition on No.100 round<br />
0.6<br />
θ=90%,LDAS<br />
θ=85%,LDAS<br />
0.55<br />
θ=90%,ECBS<br />
θ=85%,ECBS<br />
0.5<br />
0 200 400 600 800 1000 1200 1400 1600 1800<br />
runn<strong>in</strong>g rounds<br />
Figure 6 Comparisons of network coverage ratio<br />
The network coverage (η) is the ratio of the area<br />
covered by those active nodes to the whole monitor<strong>in</strong>g<br />
area dur<strong>in</strong>g the nodes schedul<strong>in</strong>g scheme runn<strong>in</strong>g<br />
process.<br />
Aactive<br />
∩ A<br />
η () t =<br />
(5)<br />
A<br />
A is the whole monitor<strong>in</strong>g area, and A active is the area<br />
0<br />
0 200 400 600 800 1000 1200 1400 1600 1800<br />
runn<strong>in</strong>g round<br />
Figure 7 Comparisons of active nodes<br />
Figure 7 shows the number of active nodes dur<strong>in</strong>g the<br />
network runn<strong>in</strong>g. As can be seen from Figure 7 and<br />
Figure 6, the number of active nodes by ECBS is always<br />
less than the number that used by LDAS when the<br />
coverage ratio meet<strong>in</strong>g the requirement. Because there<br />
are more active nodes <strong>in</strong> the early operation by LDAS,<br />
too much energy were consumed. The active nodes<br />
decreased with more and more nodes run out of their<br />
energy. And the coverage percentage dropped from 98%<br />
to 50% quickly. But the number of active nodes used by<br />
ECBS algorithm is kept stability <strong>in</strong> the whole runn<strong>in</strong>g<br />
process. Us<strong>in</strong>g the less active nodes to meet a high<br />
coverage, thus the energy has been saved and the lifetime<br />
has been prolonged.<br />
B. Network Lifetime<br />
Accord<strong>in</strong>g to the def<strong>in</strong>ition 4 <strong>in</strong> this paper, network<br />
lifetime is the runn<strong>in</strong>g time of the network meet<strong>in</strong>g the<br />
required coverage. As illustrated <strong>in</strong> Figure 8, the network<br />
lifetime is only 70 rounds with no schedul<strong>in</strong>g scheme. Set<br />
θ≥90%, us<strong>in</strong>g LDAS schedul<strong>in</strong>g scheme the lifetime is<br />
850 rounds and the first dead node occurred on No.104<br />
round. But by ECBS schedul<strong>in</strong>g scheme, the lifetime<br />
extends to 1520 rounds and the first dead node occurred<br />
on No.382 round. Set θ≥85%, the lifetime is 1020 rounds<br />
and the first dead node occurred on No.117 round by<br />
LDAS. But by ECBS algorithm, the lifetime extends to<br />
1750 rounds and the first dead node occurred on No.402<br />
round. ECBS algorithm can prolong the network lifetime<br />
efficiently. And the lower required coverage, the longer<br />
the network lifetime.<br />
© 2013 ACADEMY PUBLISHER