ÿþ<html><head> <title>"C::5;L #?@02;5=85 8==>20F8>==K<8 ?@>3@0<<0<8. >@BD5;L ?@>5:B>2</title> <meta http-equiv="Content-Type" content="text/html; charset=windows-1251"> <LINK REL=StyleSheet href="../style.css" TYPE="text/css"> </head> <body bgcolor="white"> <table width=95% border=0 cellspacing=0 cellpadding=0 align="center"> <tr><td colspan=2 class="head" align="right"><a href="http://www.donntu.edu.ua" target="_blank">>="#></a><a href="http://masters.donntu.edu.ua" target="_blank">!B@0=8FK <038AB@>2</a></td></tr> <tr> <td width=160px valign="top" class="menu" > <table width="160px" border=0 > <tr><td align="center"><a href="../index.htm" class="nav">8>3@0D8O</a></td></tr> <tr><td align="center" ><img src="../images/line.gif" width="120" height="10" border=0 ></td></tr> <tr><td align="center"><a href="../diss/index.htm" class="nav">2B>@5D5@0B</a></td></tr> <tr><td align="center" ><img src="../images/line.gif" width="120" height="10" border=0></td></tr> <tr><td align="center"><a href="../links/search.htm" class="nav">>8A:</a></td></tr> <tr><td align="center" ><img src="../images/line.gif" width="120" height="10" border=0></td></tr> <tr><td align="center"><a href="../links/index.htm" class="nav">!AK;:8</a></td></tr> <tr><td align="center" ><img src="../images/line.gif" width="120" height="10" border=0></td></tr> <tr><td align="center"><a href="../library/index.htm" class="active" >81;8>B5:0</a></td></tr> <tr><td align="center" ><img src="../images/line.gif" width="120" height="10" border=0></td></tr> <tr><td align="center"><a href="../ind/index.htm" class="nav">=4. 7040=85</a></td></tr> </table> </td> <td class="container" > <img src="../images/lib.gif" width="236px" height="150px" border=0 alt="81;8>B5:0" vspace=5 hspace=5> <p align= left > AB>G=8:: <a href="http://www.ii.spb.ru/2005/ins_inn_material/baza_2/portfolio_projects.pdf ">http://www.ii.spb.ru/2005/ins_inn_material/baza_2/portfolio_projects.pdf</a> <br>"C::5;L ..</p> <h3 align= centre >#?@02;5=85 8==>20F8>==K<8 ?@>3@0<<0<8. >@BD5;L ?@>5:B>2</h3> <p><b>1. ?@545;5=85 «?>@BD5;O» ?@>5:B>2 </b> <br><br>>=OB85 «?>@BD5;L» 8A?>;L7C5BAO 4;O E0@0:B5@8AB8:8 3@C??K =5A:>;L:8E ?@>5:B>2. <br><br>@8=F8?K >1J548=5=8O <>3CB 1KBL @07;8G=K<8. <br><br> @O45 A;CG052 2>7=8:05B =5>1E>48<>ABL 2 D>@<8@>20=88  ?>@BD5;O , 2 :>B>@>< C?>@O4>G5= A>AB02 ?@>5:B>2 2 2845 @53;0<5=B8@>20==>9 >G5@54=>AB8 8;8 ?@>872>4AB25==>-B5E=>;>38G5A:>3> 548=AB20. ;O B0:>3> ?>@BD5;O 2>?@>A A>AB020 @5H05BAO =0 >A=>25 >?B8<870F8>==>3> @0AG5B0. <br><br>@8<5@0<8 >?B8<870F8>==KE 7040G B0:>3> @>40 >:07K20NBAO: - 2K1@0BL >G5@54=>ABL ?@>5:B>2  ?>@BD5;O A CG5B>< 7040==>3> C@>2=O =0G0;L=>3> :0?8B0;a 8 ?>B>:0 2>72@0B0 A@54AB2 2=CB@8 «?>@BD5;O»; - 2K1@0BL A>AB02 ?@>5:B>2 «?>@BD5;O», >15A?5G820NI89 =081>;LHCN C45;L=CN ?@81K;L=>ABL ?@8 7040==>< >1J5<5 8=25AB8F89. <br><br>@85=B0F8O =0 @01>BC A «?>@BD5;5<» ?@>5:B>2 2KB5:05B 87 ?@8=F8?0 4>AB865=8O MDD5:B0 >B A8=5@388, :>340 F5;>5 >:07K205BAO 1>;55 2K3>4=K< AC<<K G0AB59. <br><br>1J5:B82=K<8 ?@8G8=0<8 A>AB02;5=8O  ?>@BD5;O ?@>5:B>2 <>3CB 1KBL:<ul> <li> >@30=8G5A:89 @>AB D8@<K;</li> <li> B5E=>;>38G5A:>5 0 AB0489 ?@>F5AA0;</li> <li> @0A?@545;5=85 @8A:0;</li> <li> 548=AB2> ?0@B=5@>2.</li></ul>  >@BD5;L ?@>5:B>2 ?>72>;O5B @0AA<0B@820BL MDD5:B82=>ABL =5 >B45;L=>3> ?@>5:B0, 0 2A59 3@C??K :0: 548=>3> :><?;5:A=>3> ?@>5:B0. <br><br><b>2. !8=5@35B8G5A:89 MDD5:B 2 «?>@BD5;5» ?@>5:B>2</b> <br><br>> >?@545;5=8N .%0:5=0, 02B>@0 MB>3> B5@<8=0, A8=5@35B8:0 >7=0G05B  A>2<5AB=>5 459AB285 . 2>4O B5@<8=, %0:5= E>B5; ?>4G5@:=CBL @>;L :>>?5@0B82=KE ?@>F5AA>2 ?@8 >1@07>20=88 AB@C:BC@, 87CG05<KE A8=5@35B8:>9. #?><O=CBK5 AB@C:BC@K O2;ONBAO >B:@KBK<8, ?>A:>;L:C <>3CB >1<5=820BLAO A >:@C60NI59 A@54>9 M=5@3859, 25I5AB2>< 8 8=D>@<0F859. <br><br>06=K< 2 A8=5@35B8:5 O2;O5BAO =>2K9 ?@8=F8? 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A;8 =5>1KG=K5 8;8 7=0G8B5;L=K5 ?@58<CI5AB20 >4=>3> ?@>5:B0 AB>;L 2KA>:8, GB> @C:>2>4AB2> ?@8=8<05B @5H5=85 A:>@@5:B8@>20BL ?>@BD5;L=CN AB@0B538N, 8;8 2 B5E A;CG0OE, :>340 ?@8=8<05BAO @5H5=85 >1 >B2;5G5=88 =0 =53> G0AB8 @5AC@A>2, ?@>5:B 2:;NG05BAO 2 <b>?;0= ?@>5:B>2 (19).</b>  ?@>B82=>< A;CG05, =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 CAB0=>28BL ?@8>@8B5B 8 >ACI5AB28BL =0:>?;5=85 ?>4E>4OI8E ?@>5:B>2. !CI5AB2C5B B@8 >A=>2=KE B8?0  <>45;59 MB>3> ?@>F5AA0, 2 >A=>25 :>B>@KE ;560B >F5=:8 M:A?5@B>2, M:>=><8G5A:85 ?>:070B5;8 8 >1J5< @0A?@545;5=8O :0?8B0;>2;>65=89. 5@2K5 420 B8?0 <>45;59 1K;8 @07@01>B0=K 8 8A?>;L7CNBAO 3;02=K< >1@07>< @C:>2>48B5;O<8-?@0:B8:0<8 4;O @5H5=8O 7040G8 CAB0=>2;5=8O ?@8>@8B5B>2 ?@>5:B>2; GB> :0A05BAO <>45;59 @0A?@545;5=8O :0?8B0;>2;>65=89, B> >=8 2 >A=>2=>< O2;ONBAO ?@5@>30B82>9 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 =5A:>;L:> ?5@8>4>2 2@5<5=8, B> 7040G0 @0A?@545;5=8O :0?2;>65=89 <>65B 1KBL 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. <br><br>>7<>6=> 8A?>;L7>20=85 <0B5<0B8G5A:>3> ?@>3@0<<8@>20=8O 2 A;CG05 >F5=>G=>9 <>45;8. !>3;0A=> B0:><C ?>4E>4C, =5>1E>48<> =09B8 B0:>9 =01>@ xj (xj =0 8;8 1) 4;O :064>3> 87 n ?@>5:B>2, ?@8 :>B>@>< 4>AB8305BAO <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 G8AB>9 ?@81K;8, ?>;CG05<>9 >B =0CG=KE 8AA;54>20=89 8 @07@01>B>:, B.5. 7040G0 A2>48BAO : =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, <br><br>345 - <0:A8<0;L=0O >68405<0O ?@81K;L >B j-3> ?@>5:B0, >ACI5AB2;O5<>3> 70 420 ?5@8>40 2@5<5=8, 8 Á - :>MDD8F85=B 48A:>=B8@>20=8O. <br><br><b>4. 1I55 >?8A0=85 7040G8 D>@<8@>20=8O «?>@BD5;O»</b> <br><br>040GC D>@<8@>20=8O «?>@BD5;O» ?@>5:B>2 C4>1=> ?@54AB028BL 2 2845 @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 =5>1E>48<> 2K?>;=8BL 2 @0<:0E «?>@BD5;O» (?@>3@0<<K). 040G8 MB>3> :;0AA0 2>7=8:0NB B>340, :>340 8<5NI8EAO 2 =0;8G88 @5AC@A>2 =5 E20B05B 4;O 2K?>;=5=8O :064>3> ?@>5:B0 =081>;55 MDD5:B82=K< >1@07><. >MB><C F5;LN @5H5=8O 7040G8 MB>3> B8?0 O2;O5BAO >BKA:0=85 B0:>3> @0A?@545;5=8O @5AC@A>2 ?> ?@>5:B0<, ?@8 :>B>@>< ;81> <8=8<878@CNBAO >1I85 70B@0BK, A2O70==K5 A 2K?>;=5=85< ?@>5:B>2, ;81> <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 </p> </td> </tr> <tr><td colspan=3 align="center" class="foot"> <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> </tr> </table> </body> </html>