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(17), <b>>F5=:0 F5;59</b>).

<br><br>A;8 =0G0;L=K9 @07<5@ ?@>5:B0 ?@87=0= ?@85<;5<K<, ?@>2>48BAO B5AB8@>20=85 =0

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<br><br><b>B>3>20O >F5=:0 (18).</b> A;8 ?@>5:B =5 ?>4E>48B ?>4 B5:CICN AB@0B538N D8@<K, B> 4>

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=5A<>B@O =0 2AN ?@82;5:0B5;L=>ABL ?@>5:B0, >= >B:;>=O5BAO.





<br><br><i>3.2. 07=0G5=85 <>45;8, B8?K <>45;59 </i>

<br><br>07=0G5=85 <>45;8 2K1>@0 ?@>5:B0 A>AB>8B 2 B><, GB>1K ?><>GL 53> @C:>2>48B5;N

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8AA;54>20B5;59 A8AB5< 8 8A?>;L7CNBAO 4;O @5H5=8O 7040G8 >?B8<0;L=>3> @0A?@545;5=8O

A@54AB2.



<br><br><b>3.3. -:>=><8G5A:85 ?>:070B5;8 </b>

<br><br>#AB0=>2;5=85 ?@8>@8B5B0 2>7<>6=KE 20@80=B>2 ?@>5:B0 =0 AB048OE ">F5=:0" 8 "2K1>@

?@>5:B0 8 @0A?@545;5=85 @5AC@A>2" >ACI5AB2;O5BAO =0 >A=>25 @07;8G=KE M:>=><8G5A:8E

?>:070B5;59.  0AA<>B@8< =5:>B>@K5 87 =8E.

<br><br><i>>:070B5;L -=A>D0, 8;8 ?>:070B5;L :0G5AB20 ?@>5:B0 = rdp(T+B)E/ AC<<0@=K5

0?2;>658O</i>, 345 r - 25@>OB=>ABL CA?5H=>3> 7025@H5=8O @01>B =04 ?@>5:B><, d -

25@>OB=>ABL CA?5H=>3> 2=54@5=8O, p - 25@>OB=>ABL CA?5H=>9 @50;870F88, T 8 B -

B5E=8G5A:85 8 M:>=><8G5A:85 ?>:070B5;8 8 E - ?@82545==0O 25;8G8=0 4>E>40 >B ?@>5:B0.

<br><br><i>>:070B5;L ;LA5=0, 8;8 7=0G8<>ABL ?@>5:B0 = rdpSPn / AB>8<>ABL ?@>5:B0</i>, 345 S -

3>4>2>9 >1J5< ?@>4068 ?@>4C:F88, P - 4>E>4 >B @50;870F88 548=8FK ?@>4C:F88, n -

4>;3>25G=>ABL ?@>5:B0 2 3>40E. 

<br><br><i>>:070B5;L %0@B0, 8;8 2>72@0B :0?8B0;0 = pG/[R+D+F+W]</i>, 345 G -

?@82545==0O 25;8G8=0 20;>2>9 ?@81K;8, R - ?@82545==K5 ?@O<K5 70B@0BK =0

8AA;54>20B5;LA:85 @01>BK, D - ?@82545==K5 ?@O<K5 70B@0BK =0 2=54@5=85, F -

?@82545==K5 ?@O<K5 70B@0BK >A=>2=>3> :0?8B0;0, W - >1>@>B=K9 :0?8B0;.

<br><br><i>>:070B5;L 8;;5@0, 8;8 8=45:A ?@>5:B0 = rdp ((E-R)/70B@0BK)</i>.

<br><br><i>>:070B5;L 8A<0=0, 8;8 >?@0240==K5 <0:A8<0;L=K5 :0?2;>65=8O = rp(V-X)</i>, 345

V - ?@82545==K9 4>E>4 >B ?@>5:B0, X - ?@82545==K5 70B@0BK =0 ?@>872>4AB2>, A1KB 8

B5E=8G5A:>5 >1A;C6820=85.

<br><br><i>>:070B5;L 8=0 8 !5=3C?B0:</i> 

345 V - ?@82545==0O <5@0 2>7<>6=>AB8 ?@>2545=8O 8AA;54>20=89, ci - 42865=85 G8AB>9

45=56=>9 =0;8G=>AB8 2 i-K9 3>4, r - >68405<0O 3>4>20O =>@<0 ?@81K;8, i - 8=45:A

2@5<5=8 2 3>40E 8 n - >1I55 G8A;> ;5B, 2 B5G5=85 :>B>@KE >68405BAO ?@81K;L.

F5=:0 7=0G5=89 ci 8 r O2;O5BAO AC1J5:B82=>9 8 >A=>2K205BAO =0 ?@>H;>< >?KB5 8

?@54?>;0305<>< 1C4CI5< :><?0=88. -B>B ?>:070B5;L <>65B 1KBL 8A?>;L7>20= B0:65 2

A;CG05 ?5@5<5==>9 =>@<K ?@81K;8.

<br><br><b>3.4. >45;8 @0A?@545;5=8O :0?2;>65=89</b>

<br><br>#AB0=02;8205BAO =5O2=0O ?@8>@8B5B=>ABL 2>7<>6=KE 20@80=B>2 ?@>5:B0 2 A>>B25BAB288 A

@07<5@0<8 2K45;O5<KE A@54AB2.  >1I5< 2845 7040G0 <>65B 1KBL AD>@<C;8@>20=0

A;54CNI8< >1@07><:

<br><br>=09B8  (1)

<br><br>?@8 >3@0=8G5=88  (2)



<br><br>345 xj - 70B@0BK =0 ?@>5:B, B - 25;8G8=0 >1I53> 1N465B0 4;O 2A5E 2>7<>6=KE ?@>5:B>2 j=1,...,n 8 vj(xj ) - F5;520O DC=:F8O, :>B>@0O <>65B 1KBL =5;8=59=>9, ;8=59=>9 ;81>

>4=>7=0G=>9.

<br><br>>A:>;L:C 2 2K@065=88 (1) <>3CB 8A?>;L7>20BLAO @07=>>1@07=K5 ?>:070B5;8 F5==>AB8, B>

<br><br>2 A;CG05 >68405<KE ?>:070B5;59 F5==>AB8 >=> ?@8=8<05B 284  

<br><br>345 pj(xj) - 25@>OB=>ABL ?>;CG5=8O >F5=:8 vj. @C385 <>45;8 8A?>;L7CNB AC<<0@=K5

>F5=:8, 2K@065==K5 2 10;;0E. ><8<> >3@0=8G5=8O (2) >1KG=> 22>48BAO 5I5

>3@0=8G5=85 2840  ,

<br><br>345 b-j 8 b+j - 25@E=89 8 =86=89 ?@545;K 70B@0B =0 ?@>5:B. A;8 @0AA<0B@8205BAO

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AD>@<C;8@>20=0, =0?@8<5@, A;54CNI8< >1@07><:

<br><br>=09B8  

<br><br>?@8 >3@0=8G5=88  

<br><br>345 i=1,...,m - ?5@8>4K 2@5<5=8.

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<>45;8. !>3;0A=> B0:><C ?>4E>4C, =5>1E>48<> =09B8 B0:>9 =01>@ xj (xj =0 8;8 1) 4;O

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<br><br>?@8 >3@0=8G5=88  

<br><br>345 Rj - @5AC@AK, 2K45;5==K5 j-<C ?@>5:BC, B - >1I55 :>;8G5AB2> @5AC@A>2; 7=0G5=85 xj

(?5@5<5==0O 2K1>@0) 7028A8B >B B>3>, 2K1@0= (xj=1) 8;8 =5B (xj=0) j-9 ?@>5:B. ;O @5H5=8O

MB>9 7040G8 8A?>;L7CNBAO <5B>4K F5;>G8A;5==>3> ?@>3@0<<8@>20=8O.



<br><br>#>BB5@A 8A?>;L7>20; <5B>4 & A 1C;52K<8 ?5@5<5==K<8 4;O <0:A8<870F88 AC<<0@=>9

>68405<>9 ?>;57=>AB8 >B 2A5E ?@>5:B>2.

<br><br> 

j=1,..., n; xj =0,1.



<br><br>345   8  - <0B5<0B8G5A:>5 >6840=85 8 48A?5@A8O G8AB>9 ?@81K;8 >B j-3> ?@>5:B0 8  -  :>MDD8F85=B @8A:0. 0:A8<870F8O ?@>872>48BAO ?@8 >3@0=8G5=8OE =0 @07<5@

D8=0=A8@>20=8O 4;O :064>3> ?5@8>40, A>3;0A=> :>B>@K< 25@>OB=>ABL ?@52KH5=8O

?@545;0  Bq =5 4>;6=0 1KBL 1>;LH5 7040==>9 25;8G8=K  , B.5.

 

<br><br>345 q=1,...,Q - ?;0=8@C5<K5 ?5@8>4K 8 t - ?5@5<5==0O, E0@0:B5@87CNI0O >1I85 70B@0BK

=0 2A5 ?@>5:BK, 2K?>;=O5<K5 2 q-K9 ?5@8>4.

<br><br><b>>45;L  >75=0-!0C45@0</b> 8A?>;L7C5B 48=0<8G5A:>5 ?@>3@0<<8@>20=85 4;O <0:A8<870F88 

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: =0E>645=8N  

<br><br>?@8 >3@0=8G5=88   , j=1..n.

<br><br>345 Gj - ?@82545==0O 20;>20O ?@81K;L 2 A;CG05 CA?5H=>3> 7025@H5=8O ?@>5:B0, Pj(xj) - 25@>OB=>ABL CA?5E0, B - >1I89 1N465B 8 xj - :0?8B0;>2;>65=8O 2 j-K9 ?@>5:B. @8 MB><

22>4OBAO A;54CNI85 4>?>;=8B5;L=K5 >3@0=8G5=8O:

<br><br>Sjmax = 0:A8<0;L=K5 >1I85 70B@0BK =0 ?@>5:B,

<br><br>Sjmin = 8=8<0;L=K5 >1I85 70B@0BK =0 ?@>5:B,

<br><br>xj = 0B@0BK 2 ;N1>9 ?5@8>4 2@5<5=8 2K?>;=5=8O ?@>5:B0.

<br><br> 5::C@5=B=>5 C@02=5=85 8<55B 284

 

 x j d" 0,

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<br><br><b>4. 1I55 >?8A0=85 7040G8 D>@<8@>20=8O «?>@BD5;O»</b>

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@0A?@545;8B5;L=>9 7040G8.

<br><br> 0A?@545;8B5;L=K5 7040G8 A2O70=K A @0A?@545;5=85< @5AC@A>2 ?> ?@>5:B0<, :>B>@K5

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<0:A8<878@C5BAO ?>;CG05<K9 2 @57C;LB0B5 >1I89 4>E>4.

<br><br> 0A?@545;8B5;L=K5 7040G8 A =57028A8<K<8 ;8=59=K<8 DC=:F8O<8 70B@0B (8;8 4>E>40)

AB0;8 >1J5:B>< =081>;55 8=B5=A82=KE 8AA;54>20=89, B.:. 4;O 8E @5H5=8O @07@01>B0=K

MDD5:B82=K5 8B5@0B82=K5 <5B>4K , 8<5NBAO B0:65 <5B>4K @5H5=8O =5:>B>@KE

=5;8=59=KE @0A?@545;8B5;L=KE 7040G, 2 B.G. <5B>4K, >A=>20==K5 =0 ;8=59=>9

0??@>:A8<0F88.

<br><br> 0A?@545;5=85 @5AC@A>2 4;O >4=>3> ?5@8>40 2@5<5=8 <>65B 2;8OBL =0 @0A?@545;5=8O

@5AC@A>2 4;O ?>A;54CNI8E ?5@8>4>2, 0 <>65B =5 >:07K20BL =0 =8E =8:0:>3> 2;8O=8O.

A;8 :064>5 87 ?>A;54>20B5;L=>AB8 @0A?@545;5=89 =5 7028A8B >B 2A5E >AB0;L=KE, B> B0:0O

7040G0 =07K205BAO AB0B8G5A:>9, 2 ?@>B82=>< A;CG05 8<55< 48=0<8G5A:CN

@0A?@545;8B5;L=CN 7040GC. !B0B8G5A:85 7040G8 8AA;54>20=K 2 1>;LH59 AB5?5=8, G5<

48=0<8G5A:85, => 4;O @5H5=8O =5:>B>@KE B8?>2 48=0<8G5A:8E 7040G CA?5H=>

?@8<5=ONBAO <5B>4K ;8=59=>3> ?@>3@0<<8@>20=8O. ;O @5H5=8O =5:>B>@KE

48=0<8G5A:8E 7040G ?@8<5=ONBAO <5B>4K AB>E0AB8G5A:>3> ?@>3@0<<8@>20=8O.  B0:8E

7040G0E   >A=>20=> =0 25@>OB=>AB=KE >F5=:0E 1C4CI8E 7=0G5=89 ?0@0<5B@>2 (=0?@8<5@,

C45;L=KE 70B@0B, ?@>406=>9 F5=K, A?@>A0 8 B.4.), 8<5NI8E D8:A8@>20==>5 @0A?@545;5=85

25@>OB=>AB59.

<br><br>AB>G=8:: http://www.ii.spb.ru/2005/ins_inn_material/baza_2/portfolio_projects.pdf 

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<a href="../index.htm">8>3@0D8O</a> ::

<a href="../diss/index.htm"> 2B>@5D5@0B</a> ::

<a href="../links/search.htm"> >8A:</a> ::

<a href="../links/index.htm"> !AK;:8</a> ::



<a href="../library/index.htm"> 81;8>B5:0</a> ::

<a href="../ind/index.htm"> =4. 7040=85</a>

</td>

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</table>



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