Biomedical Engineering Reference
In-Depth Information
Table 7.2
List.of.Not ations
Notations
Meaning
N
A.set.of.connecting.users. 1, 2, 3,
{
, N
}
W
Total.spread-spectrum.bandwidth
η
Background.noise.power
g bi
Link.gain.between.the.mobile.user. i .and.the.base.station. b .∀ i N
p i
Transmission.power.of.user. i .∀ i N
r i
Transmission.rate.of.user. i .∀ i N
min
Minimum.allowed.transmission.power.of.user. i .∀ i N
P i
P i
max
Maximum.allowed.transmission.power.of.user. i .∀ i N
min
R i
Minimum.allowed.transmission.rate.of.user. i .∀ i N
max
R i
Maximum.allowed.transmission.rate.of.user. i .∀ i N
Received.bit.energy-to-noise.density.ratio.of.user. i .∀ i N
E
N
b
o
i
Required.minimum.value.of.the.received.bit.energy-to-noise.density.ratio.of.
user. i .∀ i N
γ
i
T
A.constant.considered.to.be.larger.than.the.total.transmission.rate.of.| N |.users
λ
The.fixed.cost.per.unit.power.in.watts
p
λ
The.fixed.cost.per.unit.rate.in.kilobits.per.second
r
λ
The.fixed.cost.per.user.who.violates.the.QoS.requirement
x
x i
x i = 1.if.user. i .violates.the.QoS.requirement.and.0.otherwise,.∀ i N
Source: .
Data.from.Chan,.T..M.,.Man,.K..F.,.Tang,.K..S.,.Kwong,.S.,.A.jumping.gene.algorithm.
for.multiobjective.resource.management.in.wideband.CDMA.systems,. TheComputer
Journal ,.48(6),.749-768,.2005.
an.extra.objective.to.minimize.the.total.number.of.QoS.violating.users..Its.
purpose. is. to. direct. the. search. to. solutions. with. minimal. total. power. and.
maximal.total.rate.while.keeping.the.total.number.of.QoS-violating.users.at.
a.minimum..The.notations.used.are.given.in . Table 7.2 ,. and.the.three.objec-
tives.are.as.follows:
.
Total.transmission.power:.
f
= λ
p
.
(7.1)
1
p
i
i N
.
Total.transmission.rate:.
f
= λ ⋅
T
r
.
(7.2)
2
r
i
i N
f
= λ
x
.
Total.number.of.violating.users:.
.
(7.3)
3
x
i
i N
 
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