Biomedical Engineering Reference
In-Depth Information
Table 8.1
List.of.Notations
Notation
Meaning
O
The.set.of.coordinates.inside.the.floor.plan.of.the.IC.factory.
M
The.set.of.the.maximum.allowable.base.stations.
B
The.set.of.installed.base.stations.
T
The.set.of.terminals.and.|T|.is.the.cardinality.of.T.
T
.
T
k
The.set.of.terminals.allocated.to.the.installed.base.station.
k
,.
k
∈
B
.
b
j
The.
j
th.bit.value.in.the.control.genes.
j
∈
M
.
s
The.maximum.allowed.power.loss.threshold.
pl
i
By.assigning.terminal.
i
to.an.installed.base.station.with.the.minimum.average.
total.path.loss,.this.minimum.average.total.path.loss.is.equal.to.
pl
i
,.
i
∈
T
.
o
k
The.coordinates.of.the.installed.base.station
k
,.
k
∈
B
.
a
i
a
i
.is.equal.to.1.if.
pl
i
.is.greater.than.
s
.and.0.otherwise,.
i
∈
T
.
c
ik
c
ik
.is.equal.to.1.if.terminal.
i
is.assigned.to.the.installed.base.station
k
.and.0.
otherwise,.
i
∈
T
,.
k
∈
B
.
Source:
Data.from.Chan,.T..M.,.Man,.K..F.,.Tang,.K..S.,.Kwong,.S.,.A.jumping-genes.paradigm.
for. optimizing. factory. WLAN. network,
IEEE Transactions on Industrial Informatics
,.
3(1),.33-43,.2007.
There.are.four.objectives.to.be.minimized:
.
1.. The.number.of.terminals.with.their.path.loss.greater.than.the.maxi-
mum.allowed.path.loss.threshold.
f
:
∑
f
=
a
i
.
(8.5)
1
.
i T
∈
.
2.. The.required.number.of.base.stations.
f
:
∑
f
=
b
j
.
(8.6)
2
j M
∈
.
.
3.. The.mean.of.the.path.loss.predictions.of.the.terminals.
f
:
∑
1
f
=
pl
i
.
(8.7)
3
T
.
i T
∈
.
4.. The.mean.of.the.maximum.path.loss.predictions.of.the.terminals.in.
the.set.of.allocated.terminals.of.each.base.station.
f
:
1
∑
(
)
.
(8.8)
f
=
max
pl
4
i
f
i R
∈
k
2
.
k B
∈
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