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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

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