%PDF-1.4
%
3 0 obj
<< /pgfprgb [/Pattern /DeviceRGB] >>
endobj
9 0 obj
<< /S /GoTo /D (Outline0.1) >>
endobj
12 0 obj
(Discrete Time Model)
endobj
13 0 obj
<< /S /GoTo /D (Outline0.1.1.3) >>
endobj
16 0 obj
(The Model)
endobj
17 0 obj
<< /S /GoTo /D (Outline0.1.2.7) >>
endobj
20 0 obj
(The Problem)
endobj
21 0 obj
<< /S /GoTo /D (Outline0.1.3.8) >>
endobj
24 0 obj
(The Literature)
endobj
25 0 obj
<< /S /GoTo /D (Outline0.1.4.9) >>
endobj
28 0 obj
(MDP Model)
endobj
29 0 obj
<< /S /GoTo /D (Outline0.1.5.11) >>
endobj
32 0 obj
(Optimal Policy)
endobj
33 0 obj
<< /S /GoTo /D (Outline0.1.6.13) >>
endobj
36 0 obj
(Case B=1 : explicit computations)
endobj
37 0 obj
<< /S /GoTo /D (Outline0.2) >>
endobj
40 0 obj
(Continuous Time Model)
endobj
41 0 obj
<< /S /GoTo /D (Outline0.2.1.20) >>
endobj
44 0 obj
(Puterman Modeling)
endobj
45 0 obj
<< /S /GoTo /D (Outline0.2.2.22) >>
endobj
48 0 obj
(Koole Modeling)
endobj
49 0 obj
<< /S /GoTo /D [50 0 R /Fit ] >>
endobj
54 0 obj <<
/Length 769
/Filter /FlateDecode
>>
stream
xUKs0WԱV~4m)!zj{xĘvﻒS8Xo]tpBv
;$qŰ10e
UMNn_cQuڟu2*Řxd[HqX4o%n:πڧɯLq,,CY5U8렳oN(QuvtrDB14 AsAأ;%?,g*bZ['Fͣ(4-\o+DZQ-g)WyU`-ԣͤRq
,/<3(K[4 Z"ь6L8w6Ctpˬ$UvyИe3BXTZ,FS
QsY|wռSNTxHnZ;zFws'euKĕ*RSjtyV([(*ÂNa0r\gXE6"ԇLhS%NWEE֩@$OsAhaVyBo'+ W4;~1j0HǷJIg[0
>
/Parent 61 0 R
/Annots [ 52 0 R ]
>> endobj
8 0 obj <<
/R 22050
/Length 8
/Filter /FlateDecode
>>
stream
x
endstream
endobj
52 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [143.992 0.498 218.837 7.804]
/A << /S /GoTo /D (Navigation24) >>
>> endobj
55 0 obj <<
/D [50 0 R /XYZ 10.909 263.492 null]
>> endobj
59 0 obj <<
/D [50 0 R /XYZ 351.926 0 null]
>> endobj
60 0 obj <<
/D [50 0 R /XYZ 351.926 0 null]
>> endobj
53 0 obj <<
/ColorSpace 3 0 R /Pattern 2 0 R /ExtGState 1 0 R
/Font << /F18 56 0 R /F16 57 0 R /F19 58 0 R >>
/ProcSet [ /PDF /Text ]
>> endobj
81 0 obj <<
/Length 1119
/Filter /FlateDecode
>>
stream
xXKs6W!&Й^7izl˺5=2mqF$m4Rdv_$Agd2R)O0CWk.KL:Cg7{N1C
g֩*ڋEV,L nW8eh +SEaNx7X+0,
sNEM?mw" H /-)/ Qe!X(jAaP
ژh:4 c
+%'cιՒc^KƕS qAd W",scEM貊lُށLbF%<
qI8ݝ6+p5خL0fXj1?Y,IW5vMV/mJi5na//_Nz
Wm|lbniYU|5ipAc_l$2I;/2>%ѝ@Y!lj¦
|k/,q,*7 ÁCi#lc5
8 },Niu%ďcWhm fҏ=
RAFxeW,#
j vP f>H,i {s0qY
ͪ6j}7$
r{0;ׁڊ8`wUǻko7]PM^nƗy^}+!9-Ra#Z5_E9-y.th M¿xj=2,۽N>Jͤ-0GpTo+6s!M60&ט]) O٢L.v!rRbDi>{X.P'>"9JRjLާB+3=o¸@h%DH1O6k $S"3O[:Z6~
Lh͜wv_W*
endstream
endobj
80 0 obj <<
/Type /Page
/Contents 81 0 R
/Resources 79 0 R
/MediaBox [0 0 362.835 272.126]
/Trans << /S /R >>
/Parent 61 0 R
/Annots [ 64 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R 75 0 R 76 0 R 77 0 R 78 0 R ]
>> endobj
63 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 12.606 12.606]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 87 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
87 0 obj <<
/Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0.0 6.3031] /Coords [3.87885 9.21223 0.0 6.3031 6.3031 6.3031] /Function << /FunctionType 3 /Domain [0.0 6.3031] /Functions [ << /FunctionType 2 /Domain [0.0 6.3031] /C0 [0.72 0.72 0.895] /C1 [0.4 0.4 0.775] /N 1 >> << /FunctionType 2 /Domain [0.0 6.3031] /C0 [0.4 0.4 0.775] /C1 [0.226 0.226 0.541] /N 1 >> << /FunctionType 2 /Domain [0.0 6.3031] /C0 [0.226 0.226 0.541] /C1 [0.18999 0.18999 0.415] /N 1 >> << /FunctionType 2 /Domain [0.0 6.3031] /C0 [0.18999 0.18999 0.415] /C1 [1 1 1] /N 1 >> ] /Bounds [ 2.13335 4.26672 5.81822] /Encode [0 1 0 1 0 1 0 1] >> /Extend [true false] >> >>
/ProcSet [ /PDF ]
>> endobj
65 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 5.139 5.139]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 88 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
88 0 obj <<
/Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0.0 2.5697] /Coords [1.67305 3.6656 0.0 2.5697 2.5697 2.5697] /Function << /FunctionType 3 /Domain [0.0 2.5697] /Functions [ << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.88 0.88 0.955] /C1 [0.4 0.4 0.775] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.4 0.4 0.775] /C1 [0.14 0.14 0.49] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.14 0.14 0.49] /C1 [0.09999 0.09999 0.34999] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.09999 0.09999 0.34999] /C1 [1 1 1] /N 1 >> ] /Bounds [ 0.797 1.59401 2.1918] /Encode [0 1 0 1 0 1 0 1] >> /Extend [true false] >> >>
/ProcSet [ /PDF ]
>> endobj
64 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [23.246 208.686 121.33 218.921]
/A << /S /GoTo /D (Navigation3) >>
>> endobj
66 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 195.137 86.087 204.705]
/A << /S /GoTo /D (Navigation3) >>
>> endobj
67 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 181.588 95.602 191.156]
/A << /S /GoTo /D (Navigation7) >>
>> endobj
68 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 168.038 102.118 177.607]
/A << /S /GoTo /D (Navigation8) >>
>> endobj
69 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 154.489 92.572 164.057]
/A << /S /GoTo /D (Navigation9) >>
>> endobj
70 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 138.819 103.724 150.508]
/A << /S /GoTo /D (Navigation11) >>
>> endobj
71 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 125.27 197.719 136.959]
/A << /S /GoTo /D (Navigation13) >>
>> endobj
72 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [43.852 116.432 172.551 124.651]
/A << /S /GoTo /D (Navigation13) >>
>> endobj
73 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [43.852 105.473 67.174 113.692]
/A << /S /GoTo /D (Navigation14) >>
>> endobj
74 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [43.852 92.771 159.844 102.733]
/A << /S /GoTo /D (Navigation16) >>
>> endobj
75 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [23.246 69.501 135.602 79.736]
/A << /S /GoTo /D (Navigation18) >>
>> endobj
76 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 53.831 126.542 65.52]
/A << /S /GoTo /D (Navigation20) >>
>> endobj
77 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [34.155 40.282 108.118 51.971]
/A << /S /GoTo /D (Navigation22) >>
>> endobj
78 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/N/C[.5 .5 .5]
/Rect [143.992 0.498 218.837 7.804]
/A << /S /GoTo /D (Navigation1) >>
>> endobj
85 0 obj <<
/D [80 0 R /XYZ 351.926 0 null]
>> endobj
86 0 obj <<
/D [80 0 R /XYZ 351.926 0 null]
>> endobj
79 0 obj <<
/ColorSpace 3 0 R /Pattern 2 0 R /ExtGState 1 0 R
/Font << /F18 56 0 R /F19 58 0 R /F16 57 0 R /F38 82 0 R /F47 83 0 R /F54 84 0 R >>
/XObject << /Fm1 63 0 R /Fm2 65 0 R >>
/ProcSet [ /PDF /Text ]
>> endobj
109 0 obj <<
/Length 1343
/Filter /FlateDecode
>>
stream
xXKo6WT@8M,'zhzp%۵b7C2iN줏%y4~p8"AٺSS/ABW.SPS7;f(4jP꿲:cLruR7_4`Stڅ]XX39j(T#]2?g"
eSMaFh|~/>ӦZUÒKQY|;)1pLޠ8!m;h3
ۢmO}AT`.sΔT̘F%XSzT
L r%:/ߵb!m42Bj̥37+ξ$(W1
!&M3=:P`x0|@!˭=Ŋ@L&nJa"! P dOBH*[-as!s(NtlMlJA-F
*_NYvˍ>xtB,qFTe
xZ|C _W,ŕJZ*YfeLdP*e/e^+{RZ/
e"seKWz{*-nBRMbHµ7]j`5P?|09m
Cإ.vy68w(tss&2f褖)&xɘ:q3ckc.}Mŭ}3Q3EþiZ̪y]1B;嶺*_-|7hQޮA«&-պۭ&W!"`ѱ~N
dX{1r9O'bԤ mԷUl/"4 1NuԨ& y~ZOgܤ3RrDUe(yVc1HzՄ?Ûz* xy%
0Nc-6{=omT%r,"ɴM3
Hh]q }l l
R˦3WWORf[0d>c̤,~_!GoaMjb}3ꈿ26o"!5&zXݭC2.|x2sڢX<ȩ
~*yq^Ä\ˌ6kPPZTz>xsrtU1BdYOywg
endstream
endobj
108 0 obj <<
/Type /Page
/Contents 109 0 R
/Resources 107 0 R
/MediaBox [0 0 362.835 272.126]
/Trans << /S /R >>
/Parent 61 0 R
/Annots [ 106 0 R ]
>> endobj
101 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 5669.291 3.985]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 113 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
113 0 obj <<
/Shading << /Sh << /ShadingType 2 /ColorSpace /DeviceRGB /Domain [0.0 3.9851] /Coords [0 0.0 0 3.9851] /Function << /FunctionType 3 /Domain [0.0 3.9851] /Functions [ << /FunctionType 2 /Domain [0.0 3.9851] /C0 [0.92 0.92 0.97] /C1 [0.92 0.92 0.97] /N 1 >> << /FunctionType 2 /Domain [0.0 3.9851] /C0 [0.92 0.92 0.97] /C1 [0.84 0.84 0.94] /N 1 >> ] /Bounds [ 1.99255] /Encode [0 1 0 1] >> /Extend [false false] >> >>
/ProcSet [ /PDF ]
>> endobj
103 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 8 8]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 114 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
114 0 obj <<
/Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0 1] /Coords [4.00005 4.00005 0.0 4.00005 4.00005 4.00005] /Function << /FunctionType 2 /Domain [0 1] /C0 [0.5 0.5 0.5] /C1 [1 1 1] /N 1 >> /Extend [true false] >> >>
/ProcSet [ /PDF ]
>> endobj
104 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 16 16]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 115 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
115 0 obj <<
/Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0.0 8.00009] /Coords [8.00009 8.00009 0.0 8.00009 8.00009 8.00009] /Function << /FunctionType 3 /Domain [0.0 8.00009] /Functions [ << /FunctionType 2 /Domain [0.0 8.00009] /C0 [0.5 0.5 0.5] /C1 [0.5 0.5 0.5] /N 1 >> << /FunctionType 2 /Domain [0.0 8.00009] /C0 [0.5 0.5 0.5] /C1 [1 1 1] /N 1 >> ] /Bounds [ 4.00005] /Encode [0 1 0 1] >> /Extend [true false] >> >>
/ProcSet [ /PDF ]
>> endobj
102 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 5669.291 8]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 116 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
116 0 obj <<
/Shading << /Sh << /ShadingType 2 /ColorSpace /DeviceRGB /Domain [0.0 8.00009] /Coords [0 0.0 0 8.00009] /Function << /FunctionType 3 /Domain [0.0 8.00009] /Functions [ << /FunctionType 2 /Domain [0.0 8.00009] /C0 [1 1 1] /C1 [0.5 0.5 0.5] /N 1 >> << /FunctionType 2 /Domain [0.0 8.00009] /C0 [0.5 0.5 0.5] /C1 [0.5 0.5 0.5] /N 1 >> ] /Bounds [ 4.00005] /Encode [0 1 0 1] >> /Extend [false false] >> >>
/ProcSet [ /PDF ]
>> endobj
105 0 obj <<
/Type /XObject
/Subtype /Form
/BBox [0 0 5.139 5.139]
/FormType 1
/Matrix [1 0 0 1 0 0]
/Resources 117 0 R
/Length 15
/Filter /FlateDecode
>>
stream
xP(
endstream
endobj
117 0 obj <<
/Shading << /Sh << /ShadingType 3 /ColorSpace /DeviceRGB /Domain [0.0 2.5697] /Coords [1.67305 3.6656 0.0 2.5697 2.5697 2.5697] /Function << /FunctionType 3 /Domain [0.0 2.5697] /Functions [ << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.88 0.88 0.955] /C1 [0.4 0.4 0.775] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.4 0.4 0.775] /C1 [0.14 0.14 0.49] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.14 0.14 0.49] /C1 [0.09999 0.09999 0.34999] /N 1 >> << /FunctionType 2 /Domain [0.0 2.5697] /C0 [0.09999 0.09999 0.34999] /C1 [0.92 0.92 0.97] /N 1 >> ] /Bounds [ 0.797 1.59401 2.1918] /Encode [0 1 0 1 0 1 0 1] >> /Extend [true false] >> >>
/ProcSet [ /PDF ]
>> endobj
100 0 obj <<
/Type /XObject
/Subtype /Form
/FormType 1
/PTEX.FileName (./Figures/representationmodele.pdf)
/PTEX.PageNumber 1
/PTEX.InfoDict 118 0 R
/BBox [0 0 908 424]
/Resources <<
/ProcSet [ /PDF /Text ]
/ExtGState <<
/R7 119 0 R
>>/Font << /R8 120 0 R>>
>>
/Length 1760
/Filter /FlateDecode
>>
stream
xXn7Wͥ1 #G[r6&`Ǝ%Wl͞nE06eUFiz6_/QȨ$/S6iQ^)z&#))A\чvT(Đ()CPֶ/է )GC}=^ghZ#,Uk%tsh)ZbmSӑaެwL;m'kϞv;T=C:!~%E_|9AKp
:'ߧJڋTPxֶ{띠$ ,mrd}(;c)r>Y[ۋjNE*i]e# fa4ˡR$.Y^4
RrN G6qcg܄l-Fѡʴ
p=E&T =c:Z% EPT\aBܺ _T>C2wD((,v5>ED3Rk)898O(>'0PEyw$Թ;YO< T2H%\>$nf]s'୫h6l}!jМ}iRhT{1pY@359:%/0&) ku
^(nnZw)}&cslhA'`K`BQ P2=PQv 'DcqL. `\D!h*8{1m|\Jճ%#tT"N`6.NR,禶pH8x^ h"8" ًi{Rư٥4Jە-lLڸXfjn)e[ZMm ah^SNZCʲ!Ce
T|< yleV ]}ߞۈ (,Lƴ?Cƍ,qdYݲY[H9SݙbV
;#)
YA"eqDF(GZN@ҼȕUt.Kl*wEK9henbfrs$9G14?oUNvuk!nZ-e:ȑy},e G2J w9ff[vJq'(lbY6SF)6.sEW\іte*W\V,qx1H)#WY(1 txR9T\u\2p')#WkAШ*.<{R>ɲΫ}2#hZ^KJLMaB69)d~}JAU!1 R;