Spherical location problems with restricted regions and polygonal barriers [Elektronische Ressource] / Dedigama Dewage Mangalika Jayasundara

Mangalika Jayasundara

Description

DreznerDedigamanaturalium,DewGradesageDr.MangalikdesahaftenJayherasundara01.LoderProblemsrer.withter:W.RegionsDr.andderPebruaryolygonalakBarriershenVDoktoronF(DoacrerumhDr.bnat.)hhProf.MathematikHorstderUnivProf.ersit?tZviKaiserslauternDatumgenehmigteDisputation:DissertationFzur2005ErlangungtheirAhCKNOvWLEDGMENTSyImewouldts.likwehtomexpresstmFinallyyforsincerealsogratitudewhiletowmedyalwsupeervisorhome.Prof.ADBDr.AADHorsttheW.thanksthahersuppforlikmakingBhanthishispreparinghatmospherewasorkandportossible.vHisysfeelveingaluablefamilysuggestionsamandgratefulgreatDevsuppandortAhasService)bsuppeenspamgoWowdvandforwthistowyorketojithbandewthesis.done.orkingIaswellanfortfriendlytounreservexpresssuppmwhicyhathanksealsoatomadeProf.toDr.likZvibDreznerinforyhisatgoIoalsoderywilltoand(AsianeortelopmentoBank)readDand(Germanevaluatehangemforythesis.ort.Man,yecialthankstogoytousbandallasanofRanameerayhisariousatortsOptimizationGroup,IAouldGethanksher,minsontheukUnivNaersitanayforofKaiserslauternunderstandingforItheasgotheodiv. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Sujets

• Mathematics
• Management

Informations

• Publié par: technische_universitat_kaiserslautern
• Publié le: 01 janvier 2005
• Nombre de lectures: 16
• Langue: English

Extrait

Dedigama
Dew
age
naturalium,
Drezner
Grades
Mangalik
Dr.
a
des
Ja
haften
y

asundara
her

01.
Lo


der
Problems

with
rer.

ter:
Regions
W.
and
Dr.
P
der
olygonal
ebruary
Barriers
ak
V
hen
on
Doktor
F

ac
(Do
h
rerum
b
Dr.

nat.)
h
h
Mathematik
Prof.
der
Horst
Univ

ersit?t
Prof.
Kaiserslautern
Zvi
genehmigte
Datum
Dissertation
Disputation:
zur
F
Erlangung
2005A
CKNO
WLEDGMENTS
I
usband
friendly
ery
w
ana
ould
to
lik
hange
e
I
to
orking
express
ha
m
y
y
Bank)
sincere
,
gratitude
his
to
m
m
I
y
ell
sup
supp
ervisor
a
Prof.
b
Dr.
I
Horst
(Asian
W.
(German


her
to
for
Rana
making
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this
e

uk
h

w
the
ork
as
p
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unreserv
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whic

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v
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suggestions
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Finally
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all
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m
tha
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for
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v
Optimization
supp
Group,
and
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ts.
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w

lik
her,
to
in
also
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y
Univ
Bhan
ersit
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his
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Lo
of
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1
date
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3.3.1
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23
.
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Con
for
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exit
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3.4
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24
.
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W
W
el
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57
.
ulation
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with
.
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.
59
25
for
2.3

Appro
.
ximate
.
Algorithm
.
Using

Candidate
terSphereLo
Lists
a
[14
℄
℄
.
.
.
.
.
.
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.
.
.
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.
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64
.
Cen
.
Problem
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.
.
er
31
2.
2.4
.
Steep
es
est
.
Descen
.
t
.
Algorithm
.
for
.
W
.
eb
.
erSphereLo
.

.
[32
.
℄
.
.
.
.
.
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.
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.
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3.3
.
Based
.
F
33

2.5
Up
Big
T
Region-Small
hnique
Region
℄
Algorithm
.
[18]
.
.
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.
57
.
The
.
vior
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the
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lems
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40
.
3.
.

.
Cen
.
ter
.
Problem
.
.
.
.
.
.
3.3.2
.
orm
.
of
.
Problem
.

.
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3.3.3
.
Examples
.
Solving
.
terSphereLo
.
.
.
.
.
.
ey
.
Surv
.
Literature
.
and
60
Applications

1.1
hes
1
Cen


tro
on
In
Hemisphere
1.
℄
70
.
P
.
Algorithm
.

.
terSphereLo
.
Problem
.
Pro
.

.
to
.
nd
.
the
.
Global
.
Optim
.
um
.
for
.
Cen
.
terSphereLo
.

.
[13
.
℄
.
46
4.
3.2

En
ter
.

.
.
69
.

.
for
Problem
Cen
eb


using
7
el
.
and
umeration
.
T
ec
4.1
hnique
Results
for

Determining
terSphereLo
Global
Problem
Optim
Lev
um
Sets
of
Lev
Cen
Curv
terSphere-
.
Lo
.

.
℄
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
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.
.
.
.
.
.
.
.
CONTENTS
4.2
45
olynomial
3.1
for
An

Iterativ

e
76P Ex fik i k
I Mij ij
Ex Ex ∂Ri j
w (> 0) = 1i
. . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Regions
.
.
the
.
.
P
.
in
.
78
.
.
.
from
.
.
.
P
.
W
.

.
.
.
endix
.
.
.
Computation
82
Unit
5.2
6.

5.1
the
Lo

.
v
terSphereLo
ex
Conclusions
BarrierSphereLo
.

.
Problem
.
to
of
a
P
Set
Computation
of
.
Sub

problems
Con
85
of
5.3
.
BarrierW
.
eb
Results
erSphereLo
P

Barriers
Problem
Problems
on
5.
the
.
Surface
ts
of
Problem
a

Hemisphere
109
.
F
.
.
.
.
.
.
.
.
.
.
90
.
5.3.1
with
of
8.


Barrier
ts
Con
In
v
77
ex
.
Hull
to
.
oin
.
a
.
ts
.
on
.
Surface
.
the
.
Sphere
.
.
.
.
.
104
.

.
the
.
aths
.
Shortest
.
81
.
olygonal
.
with
.

.

.
79
.
.
93
.
5.3.26
Line
eigh

with
h

Pro
Cen

4.3
on
.
a
7.

and
Surface
uture
.
h
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
95
.
5.4
.
Algorithm
.
for
and
BarrierW
117
eb
App
erSphereLo


erp
Problem
of
on
oin
a
tersection
Hemisphere
of
.
4.2.2
.
.
.
.
.
.
.
.
.
on
102
t
5.5
P
BarrierW
Pro
eb
of
erSphereLo
4.2.1

ten