Biomedical Engineering Reference
In-Depth Information
subject.to.the.following.constraints:
.
1.. Each.WLL.terminal.must.be.connected.to.only.one.repeater:
∑
x
=
1,
∀ ∈
i T
ij
j N
∈
.
2.. The.maximum.number.of.WLL.terminals.
max
c
.
that.can.be.connected.
to.one.repeater:
∑
x
≤
c
⋅
y
,
∀ ∈
j N
ij
max
j
i T
∈
.
3.. The. value. of. the. received. signal. strength. at. the. repeater. on. grid.
j
.
must. be. larger. than. or. equal. to.
P
r
. to. satisfy. the. coverage. perfor-
mance.∀
j
∈
N
:
(
P G
0
+
+
(
G
)
−
L
)
⋅
y
≥
P
,
∀ ∈
j N
b
r
j
j
j
r
.
4.. The. total. number. of. repeaters. to. be. installed. must. be. within. the.
range.of.[
R
min
,.
R
max
]:
∑
R
≤
y
≤
R
min
j
max
j N
∈
.
5.. The.total.number.of.terminals.|
T
|.supported.cannot.exceed.the.sum.
of.maximum.capacity.of.all.installed.repeaters:
∑
C
⋅
y
≥
| |
T
max
j
j N
∈
.
6.. A.repeater.cannot.be.installed.on.grid.
j
.where.a.terminal.is.located.
∀
j
∈
N
:
y
+
z
≤
1,
∀ ∈
j N
j
j
.
7.. The. integer. variables.
x
ij
,.
y
j
,. and.
z
j
. are. limited. to. be. 0. or. 1. only.
∀
i
∈
T
,.∀
j
∈
N
:
x y z
,
,
∈
{0, 1},
∀ ∈
i T
,
∀ ∈
j N
ij
j
j
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