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???????????? ??????????? ? ????? ?????????? ?????????
??????????? ??????????????? ????????? ??????????????? ?????????? ??????? ????????????????? ??????????? "???????? ??????????????? ???????? ??????????? ???????????" ??????? ????????????? ??????????????? ????????? ? ???????????
???????? ??????
?? ?????
"?????? ??????"
??????? 12.
????????: ??.??. ???-11-01 ?.?.????????????
????????: ????????? ?.?.????????
??? 2012
??????????
?.
1 ??????????2 2 ???????3
2.1 ????????? ????????? ?? ?????? ????????? ???? 3-10
2.2 ????? ????? ????11-12
2.3 ??????????? ??????? ?????????? ?????13-15
2.4 ?????????? ??????? ??????16
2.5 ?????? ????????17-20
3 ?????????? 21
4 ?????? ??????????22
5 ??????????23-29
???????
2.1 ????????? ????????? ?? ?????? ????????? ????
???????? ??????????? ??? ?????????? ?????? ????? ???????? ????????? ??????? ? ???? ??????????? ???????????????? ????? (??????? 1).
??????? 1 -???? ?????
???? ?????1234567891011???.
??.
???1
2
0,41
3
0,22
4
0,83
6
0,94
1
0,55
2
0,15
7
0,66
3
0,96
7
0,57
5
0,87
3
0,4 ? ??????? 1 ??????????: "???." - ?????? ???? ?????, "??." - ?????. ??? ???????? ??????? ?????????:
- ????????? ???? ???????;
- ?????????? ??????? ?????????, ????????????? ? ????????;
- ?????????? ??? ???????????? ???? ?? ???? ? ? ???? ?;
- ?????????? ???????????? ??????? ??????? ?? ???? ?? ?=5 ? ?=7 ?? ??????? ??????;
- ????? ???????????? ???????;
- ???????? 2 - 3 ????????? ??????? ??? ?????????? ? ?????????? ?? ?????????;
- ?????????? ????????? ???????? ??????? ? ??????????? ?????????? ? ?????? ?? ?????.
???????
? ??????? ???????? ?????? ???????? ???? ??????? (??????? 1). ???? - ??? ?????????????? ??????, ??????????? ?? ????????? ?????? ? ?????. ????????? ???? ???? ????????? ????? ?? ????? ? ?????? ???????, ??? ???? ?? ???????????:
P1=|V5-V7|=r57=0,6;
P2=|V5-V2-V4-V1-V3-V6-V7|=
=r52*r24*r41*r13*r36*r67=0,1*0,8*0,5*0,2*0,9*0,5=0,0036.
??????? 1 - ???? ???????
?????????? ??????? ????? ??????? ? ????? ??????? ? ???????? ??????? (??????? 2):
??????? 2 - ???? ???????
?????? ???????? ??????? ?????????, ????????? ???? ??????? (??????? 2):
??????? 2 - ??????? ??????????
V1V2V3V4V5V6V7V10001000V21000100V31000011V40100000V50000001V60010000V70000110 ??? ?? ???????? ??????? ????????????? (??????? 3):
??????? 3 - ??????? ????????????? r12r13r24r36r41r52r57r63r67r73r75V111-1V2-11-1V3-11-1-1V4-11V511-1V6-111V7-1-111??????? ??? ???????????? ??????? ????? ??????? ? ????????? ?? ????:
K1=|V5-V2-V4-V1-V3-V6-V7-V5|=r52*r24*r41*r13*r36*r67*r75=0,1*0,8*0,5*0,2*
*0,9*0,5*0,8=0,00288;
K2=|V7-V5-V7|=r75*r57=0,8*0,6=0,48;
K3=|V2-V4-V1-V2|=r24*r41*r12=0,8*0,5*0,4=0,16;
K4=|V7-V3-V6-V7|=r73*r36*r67=0,4*0,9*0,5=0,18;
K5=|V3-V6-V3|=r36*r63=0,9*0,9=0,81.
???????? ??????? ???????? (??????? 4):
??????? 4 - ??????? ???????? r12r13r24r36r41r52r57r63r67r73r75?101111100101?200000010001?310101000000?400010000110?500010001000?? ??????? ?????? ????????? ????????????? ????????, ??????????? ????? ?? i-?? ???? ? j-?? ???? ? ?????? ???? ?????? ?????:
w???=?�?(p?i*?i)/?,
??? pi - ??? i-?? ???? ?? ????? ? ??????;
?i - ????? i-?? ????;
? - ???????????? ?????.
???????????? ????? ??????????? ?? ???????:
?=1-?�"K" i+?�"K" n*"K" m-?�"K" p*"K" r*"K" l,
??? ?�"K" i - ????? ???? ????????;
?�"K" n*"K" m ????? ???????????? ??? ?? ?????????? ????????;
?�"K" p*"K" r*"K" l - ????? ???????????? ????? ?? ?????????? ????????.
?i ??????????? ?? ??? ?? ???????, ??? ? ???????????? ? ??????? ??????? ??????? i-?? ????. ?=1-(0,00288+0,48+0,16+0,18+0,81)+( 0,48*0,16+0,16*0,18+0,81*0,16+
+0,48*0,81)-( 0,48*0,16*0,81)=-0,730064.
????? ???????? ?????? 1-?? ???? ???? ????? ????? ??? (??????? 3):
??????? 3 - ???? ??? ?????? 1-?? ????
?1=1-( K3+ K5)+( K3*K5)=1-(0,16+0,81)+ (0,16*0,81)=0,1596.
????? ???????? ?????? 2-?? ???? ???????? ?? ????????, ????????????? ????? 2-?? ????? ???????. w???=(0,6*0,1596+0,0036*1)/-0,730064=-0,1360977.
?????? ???????? ???????.
?H(s)=H0(s)-H???(s),
H(s)= - ?(Pi*log2Pi),
??? Pi - ??????????? ?????????? ??????? ? ??? ??? ???? ?????????.
?Pi =1.
??? ??????? ????????? ???????? ??????? ????? ????????????? ????????? ?????????? ????? ???????????.
???????? ??????????? ????? ????????? ?????????? S (??????? 4).
??????? 4- ??????????? ????? ?????????
??? ?????????? ?????????:
?7=?6=?5=?4=?3=?2=?1=1/7;
H0(s)=-1* log2(1/7)= 2,807.
??????? ??????????? ??? ???????? ????????? ??????????? ?????????? ??????? ? ??? ??? ???? ?????????:
dPi /dt=S?j*Pj - S?i*Pi,
??? ? - ????????????? ???????? ?? ?????? ????????? ? ?????? (????? ????? ??????????????? ???).
??? ??????? ????????? ??????? ??????? ??????? ???????????:
dP1 /dt=?41*P4 - (?13+?12)*P1;
dP2 /dt= ?12*P1+?52*P5 - ?24*P2;
dP3/dt= ?63*P6+?13*P1+?73*P7- ?36*P3;
dP4 /dt=?24*P2 -?41*P4;
dP5 /dt=?75*P7 - (?52+?57)*P5;
dP6 /dt=?36*P3 - (?63+?67)*P6;
dP7 /dt= ?57*P5+ ?67*P6 - (?73+?75)*P7.
??? ??? ?? ??????? ?????????????? ?????, ?? ????? ???????, ??? ???????? ????????? ???????????? ????? ????. ???????? ??, ??? ????? ???? ???????????? ????? ??????? ???????? ???????:
{�("0,5P4- 0,6P1=0," @"0,4P1+0,1P5 - 0,8P2=0," @"0,8P2 -0,5P4=0," @"0,8P7 - 0,7P5=0," @"0,9P3 - 1,4P6=0," @" 0,6P5+ 0,5P6 -1,2P7=0," @"?7+?6+?5+?4+?3+?2+?1=1." )�
????? ?????? ??????? ? scilab-5.4.0 3 ?????????, ??? ????? ????? ??????? ??????? ????????????? ??????? ? ?????? A, ? ?????? ?????? ????? ??????? ? ?????? b.
1 ??????: ??? ?????? ??????? \ :
2 ??????: ??????? ???????? ???????:
3 ?????? - ????? ??????:
?????? ????????: ?1=0.0884956, ?2=0.0663717, ?3=0.2477876, ?4=0.1061947, ?5=0.1769912, ?6=0.1592920, ?7=0.1548673.
H???(s)= - ?(Pi*log2Pi)= -(0.0884956*log20.0884956+0.0663717*
*log20.0663717+0.2477876*log20.2477876+0.1061947*log20.1061947+
+0.1769912*log20.1769912+0.1592920*log20.1592920+0.1548673*
*log20.1548673=2.69268.
?H(s)=2,807-2.69268=0.11432>0.
????????? ???????? ????????? ??????????????? ????????? ????? 2.69268, ??????????????, ????????? ???????? ????????? 0.11432, ? ??? ??? ???????? ??????? ?????? ????, ?? ??????? ????????? ? ???????.
2.2 ????? ????? ????
?????????? ????? ????? ???? ??? ??????? ?? ??????? (??????? 5).
??????? 5
?
??????1???????? ?????2???????3??????????4?????????? ??????????
???????? ????? ?????????? ?? ????? ????????? ???????, ??? ??? ??????????? ????????? ???????:
- ????????????? (????????, ???????? ????? ? ?????? ? ????? ???????? ????? ? ?????? ?);
- ???????? (????????, ???????? ????? ? ????? ???????? ???? ???????? ????? ? ????? ????????).
??????? ?????????? ?? ????? ???????????? , ??? ??? ??? ???? ??????????? ?????? ??????? ??????????????? (????????, ? ???? ? ???? ?????????? ??????? - ?????????).
?????????? ?????????? ?? ????? ??????????, ??? ??? ??? ???? ??????????? ????????? ???????:
- ????????????? (????????, ?????????? ? ???????????? ???????? ???? ?????);
- ???????? (????????, ?????????? ??????? ?????? ?????????? ???????);
- ?????????? (????????, ????????????? ?????????? ? ???? ?????????? ?? ?????????????, ???? ???????? ??????)
?????????? ??? ?????????? ?? ????? ?????????, ??? ??? ??????????? ????????? ???????:
- ????????????? (????????, ?????????? ??? ??????? 1 ????? ??????????? ??? ??????? 2);
- ???????? (????????, ?????????? ??? ? ?????? ????, ??? ?????????? ??? ? ???????).
2.3 ??????????? ??????? ?????????? ?????
??????? ??????????? ???????????? ?????????? ??????? ?????????? ?????. ????????-???????????? ????? ????? ???????? ???????????? ? ???? ????? (??????? 6). ?????? ?????? ????????????? ???????????? ???????????? (??????? 7). ??????????? ?????????? ????? ???????? ?????? 0.
????????? ??????? ?????????? ????? ?????? ???? ????????? ? ?????? ????????????? ?????? ???????.
??????? 6 ???? ????? ???.12233455666678889101011??.3130400335894571127119 ??????? 7
??????123456789101110,80,40,50,1110,90,80,60,7 ???????
??? ?????? ???????? ???? ??????? (??????? 5).
??????? - 5 ???? ??????? ???????? ???????, ??? ????? ?????????? ??????????? ????? ?????? ?? ??????, ? ? ????????? ??????? ????? ????? ?????????? ????? ????????? ?? i-?? ?????? (??????? 8).
??????? 8
?0?1?2?3?4?5?6?7?8?9?10?11
?01000000000001?11101100000004?21111100000005?31001100000003?41000100000002?51001110000004?611111111110111?71000100100003?811111101110110?91111100001006?101111100101119?111111100001017 ?? ?????? ??????? 8 ??????? ?????????????????? ????? ???????????? ?? ???????? ???????? ????????? ????? (??????? 6).
??????? 6 - ?????????????????? ????? (?? ???????????).
??? ??? ?????????? ????????? ?? ???? ?????? ?????? ?? ?????????????????? ????? , ??????? ??? ???? ??????? ??? ????? ?????????? ??????????? ????? ?????? ?? ?????? ? ???????????? ?????? ??????, ? ? ????????? ??????? ????? ????? ??????????? ?? ?????? i-?? ?????? ?? ?????????? 0 ??????.
??????? 9
?0?1?2?3?4?5?6?7?8?9?10?11
?00000000000000?10100,40,500000001,9?2010,80,40,500000002,7?30000,40,500000000,9?400000,500000000,5?50000,40,50,10000001?6010,80,40,50,1110,90,800,77,2?700000,500100001,5?8010,80,40,50,1010,90,800,76,2?9010,80,40,500000,8003,5?10010,80,40,500100,80,60,75,8?11010,80,40,500000,800,74,2 ???????? ?? ?????? ?????????? ???????, ???????? ?????????????????? ????? ?? ???????? ??????? (??????? 7).
??????? 7 - ?????????????????? ????? (?? ???????). ????? ???????, ????? ??????? ?????, ??? ??? ?????? ????? ????????? ?? 7,2 ???.
2.4 ?????????? ??????? ??????
??????????? ?????? ???????, ??????????? ???????? ???????? (??????? 10). ????????? ??????????????, ?????????????? ? ???????????? ?????? ???????, ??????????????? ??????????? IDEF (IDEF0, IDEF1X).
???????????? ?????? ?????????????? ? ???? ???? ?????, ??? ??????? ???????????? ??? ????????? ?????????? (?????????), ???? ????????????, ???????? ??????????????, ???????????, ? ????? ??????? ????????? ????????? (??????????? ?????).
??????? 10
????????????? ??????? ?? ???????? ???????
?????????????? ?????? ??????? IDEF0 (??. ?????????? 1). ?????????????? ?????? ??????? IDEF1X (??. ?????????? 2).
???????????? ?????? ??????? ? ???? ???? ????? (??. ?????????? 3).
2.5 ?????? ????????
??????? ??????? ???????? ?????????? ????? ???????? (???????).
??????? ??????????????? ?????? ?????? ???????
1) ????: ?????? ??????.
2) ??????????? ??????????? (?????????):
?1 - ???
?2 - ????
?3 - ?????????
?4 - ???? ?????? (?????????).
???????? ??????? ???????????: ?1?2?3?4?111/351/3?23153?31/51/511/8?431/381
?????? ???????????:
?????????? ????????? ????????????? ????????? a1=(1*1/3*5*1/3)0,25=0,86334,
a2=2,59,
a3=0,2659,
a4=1,6818.
S=5,4,
a1'=0,1599,
a2'=0,4796,
a3'=0,0492,
a4'=0,3114.
3) ??????????? ??????????? (????????):
?1 - ??????? (??? ??????), ??????????, 15000?, 10 ???;
?2 - ??????? ( ? ????? ???????), ?????, 20000?, 8 ???;
?3 - ??????? (? ????? ???????), ??????, 14000?, 12 ???;
?4 - ??????? ( ? ????? ????????), ?????, 18000?, 14 ???.
???????? ??????? ???????????:
?????? ?? ???? ?1:
A1 A2 A3A4A1 11/951/5A2 9191A31/51/911/9A4 5191
�1=0,5774,
�2=3,
�3=0,2229,
�4=2,59,
S=6,39,
�1'=0,09,
�2'=0,4695,
�3'=0,1084,
�4'=0,4053.
?????? ?? ????? ?2:
A1 A2 A3A4A1 161/52A2 1/611/55A35519A4 1/21/51/91�1=0,88 ,
�2=0,6389,
�3=3,873 ,
�4=0,3247,
S=5,7166,
�1'=0,1539,
�2'=0,1118,
�3'=0,6775,
�4'=0,0568.
?) ?????? ?? ????????? ?3:
A1 A2 A3A4A1 151/23A2 1/511/91/8A32914A4 1/381/41�1=1,6549,
�2=0,2296,
�3=2,913 ,
�4=0,9036,
S=5,7,
�1'=0,29 ,
�2'=0,04,
�3'=0,5111,
�4'=0,1585.
d) ?????? ?? ????? ?????? ?4:
A1 A2 A3A4A1 151/51/7A2 1/511/81/9A35811/5A4 7951
�1=0,6148,
�2=0,2296 ,
�3=1,6818,
�4=4,2129 ,
S=6,739,
�1'=0,09,
�2'=0,34,
�3'=0,2496,
�4'=0,625.
????????? ??????? ????????? (max) ? MathCad: :
?????? ?? ????????????? ????? 0,445 = A3. ???????? ?????????: ???????? ?????? ???????????? (?3 ??????? (? ????? ???????), ??????, 14000?, 12 ???).
??????????
??? ?????????? ??????? ????????? ??????? ???? ????????????? ??????????? ?????????? ?????????????????? ???????? ?????????? ??????? ??????. ???? ???? ?????????? ??????????? ?????????? ??????? ??? ???? ????????? ????????, ?? ??????? ??????? ???????? ??????. ? ??????? I ???? ??????????? ????????? ????????? ?? ?????? ????????? ????, ?????????? ????? ???????, ??????????? ???????????? ?????, ?????? ?????????, ????????????? ? ????????, ??????????? ???????????? ??????? ???????, ?, ??? ????, ??? ?????????? ?????? ????????? ???????? ???????, ? ???? ???????????, ??? ????????? ???????? ??????? ? ??????????? ??????? ??????????? ????????? ? ???????.
? ??????? II ??????? ???? ????, ? ????? ?????????? ? ?????????? ????? ???? ??? ??????? ?? ???????, ???????????? ????????? ?12.
? ??????? III ????????? ??????? ?????????? ????? ? ??????? ?????? ??????????? ????????????.
? ??????? IV ??????????? ?????? ???????, ??????????? ???????? ????????? ?12 ????????, ? ????? ????????? ??????????????, ?????????????? ? ???????????? ?????? ??????? ??????????????? ??????????? IDEF (IDEF0, IDEF1X), ? ???????????? ?????? ???? ???????????? ? ???? ???? ?????.
? ??????? V ??? ?????? ????? ??????? ???????? ? ????????? ????? ???????????? ??? ?????????? ????????, ????????????? ????????? ?2.
?????, ? ???? ?????????? ????????? ???????, ???? ??????? ? ??????? ????? ??????????? ???????? ??? MathCad 2001 Professional, scilab-5.4.0, Design/IDEF 3.7, PetriNetwork 2.0.
?????? ??????????
??????? ?.?. ??????-???????????? ??????? ? ?????????? ????????? ??????? ?? ????? "?????? ??????" - ???: ?????, 2006. - 16?.
??????? ?.?. ?????????? ?????????? ??????? ? ?????????????? IDEF-??????????: ????. ?????. -???: ?????, 2000. -32?. ??????? ?.?. ???????????? ???????? ? ???????????? ?????? "?????????? ?????????? ??????? ? ?????????????? IDEF-??????????" - ???: ?????, 2000. - 24?.
???????? ?.?., ??????? ?.?. ?????? ??????: ????. ???????. - ???: ?????, 2003. -100 ?.
?????????? 1 - ?????????????? ?????? ??????? IDEF0
?????????? 2 - ?????????????? ?????? ??????? IDEF1X .
?????????? 3 - ???????????? ?????? ??????? ? ???? ???? ?????
????? ???????? ??????? ??? ????????? ??????????? ? ????????????:
????? ???????: 1- ????????, 2 - ?????? ? ??, 3 -???????????, 4 - ???????? ??????, 5 - ??????? ??????, 6 - ??????, 7 - ??????, 8 - ?????? ? ???????, 9 ?????? ?? ????????, 10 - ??????, 11 - ??????????.
????? ?????????: 1 - ?????? ?? ???????, 2 - ?????? ?? ??, 3 - ??????, 4 -??????? ??????? ??????, 5 - ??????? ????? ??? ???????, 6 - ???????? ???????, 7 - ????????? ?????? ? ???????, 8 - ?????????? ? ?????? ?????????.
???? ????????????:
??? ????????? ?????????? (?????????): 2
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