А Б В Г Д Е Ж З И К Л М Н О П Р С Т У Ф Х Ц Ч Ш Э Ю Я

 

Реферат: Вычислительная техника в управлении на примерре управления международных связей ВГУЭС.

 


 

Вычислительная техника в управлении на примерре управления международных связей ВГУЭС.

 Gi?(V,X) ?en. 1 Caaa?a1 Aey iai?eaioe?iaaiiiai a?aoa G, annioee?iaaiiiai n a?aoii Gi? auienaou (ia?aioia?iaaa aa?oeiu) : a) iii?anoai aa?oei V e iii?anoai ?aaa? X, G(V,X); a) nienee nia?iinoe; a) iao?eoo eioeaaioiinoe; a) iao?eoo aania. a) Aey a?aoa Gi? auienaou iao?eoo nia?iinoe. Ioia?aoey aa?oei - ni. ?en 1 a) V={0,1,2,3,4,5,6,7,8,9} X={{0,1},{0,2},{0,3},{1,2},{1,4},{1,5},{1,6},{1,7},{2,3},{2,5},{3,8},{3,9},{4,5},{4,6},{5,3},{5,6},{5,8},{6,9},{7,8},{7,9},{8,9}} A aaeuiaeoai ?aa?a aoaoo iaicia?aouny iiia?aie a oeacaiiii ii?yaea ia?eiay n ioey. a) A0={1,2,3}; A1={0,2,4,5,6,7}; A2={0,1,3,5}; A3={0,2,5,8,9}; A4={1,5,6}; A5={1,2,3,4,6,8}; A6={1,4,5,9}; A7={1,8,9}; A8={1,3,5,7,9}; A9={3,6,7,8}; a) Ioia?aoey aa?oei e ?aaa? niioaaonoaaiii i. a)
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 a) Iieacaia aa?oiyy iieiaeia iao?eou, o.e. iao?eoa aania iai?eaioe?iaaiiiai a?aoa neiiao?e?ia ioiineoaeuii aeaaiie aeaaiiaee.
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 a) Iao?eoa nia?iinoe aey a?aoa Gi?.
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 Caaa?a 2 Iaeoe aeaiao? D(G), ?aaeon R(G), eiee?anoai oaio?ia Z(G) aey a?aoa G ; oeacaou aa?oeiu, yaey?ueany oaio?aie a?aoa G. D(G)=2 R(G)=2 Z(G)=10 Ana aa?oeiu a?aoa G(V,X) yaey?ony oaio?aie. Caaa?a 3 Ia?aioia?iaaou aa?oeiu a?aoa G, eniieucoy aeai?eoiu: a) "iienea a aeoaeio"; a) "iienea a oe?eio". Enoiaiay aa?oeia - . a)  a)  Caaa?a 4 Eniieucoy aeai?eoi I?eia iaeoe inoia ieieiaeuiiai aana a?aoa G. auienaou eia oeeaaee ia ieineinoe iaeaaiiiai aa?aaa, i?eiya ca ei?iaao? aa?oeio .  Aan iaeaaiiiai aa?aaa - 14. Eia oeeaaee aa?aaa: 000011000001111111. Caaa?a 5 Eniieucoy aeai?eoi Aaeeno?a iaeoe aa?ai e?ao?aeoeo iooae ec aa?oeiu  a?aoa G.  Aan iaeaaiiiai iooe - 8. Caaa?a 6 Eniieucoy aeai?eoi Oi?aa - Oaeea?niia, iaeoe iaeneiaeuiue iioie ai acaaoaiiie aaoiie?niie i?eaioe?iaaiiie naoe {Gi? ,  , w}. Oeacaou ?ac?ac ieieiaeuiiai aana. Iineaaiaaoaeuiinou ianuuaiey naoe (ianuuaiiua ?aa?a ioia?aiu e?o?a?eaie): 1-e oaa  2-e oaa  3-e oaa  4-e oaa  5-e oaa  6-e oaa  7-e oaa  Ieii?aoaeuii eiaai:  Eae aeaii ec ?enoiea, ?aa?a {6,9},{7,9},{3,9}, ieoa?uea aa?oeio , ianuuaiiu, a inoaaoaany ?aa?i {8,9}, ieoa?uaany io aa?oeiu 8, ia ii?ao iieo?eou aieuoaa cia?aiea aaniaie ooieoee, oae eae ianuuaiiu ana ?aa?a, ieoa?uea aa?oeio 8. A?oaeie neiaaie - anee ioa?ineou ana ianuuaiiua ?aa?a, oi aa?oeia  iaainoe?eia, ?oi yaeyaony i?eciaeii iaeneiaeuiiai iioiea a naoe. Iaeneiaeuiue iioie a naoe ?aaai 12. Ieieiaeuiue ?ac?ac naoe ii ?eneo ?aaa?: {{0,1},{0,2},{0,3}}. Aai i?iioneiay niiniaiinou ?aaia 16 Ieieiaeuiue ?ac?ac naoe ii i?iioneiie niiniaiinoe: {{6,9}, {7,9}, {3,9}, {3,8}, {5,8}, {7,8}}. Aai i?iioneiay niiniaiinou ?aaia 12. Caaa?a 7 (Caaa?a i ii?oaeuiia) Auienaou noaiaiio? iineaaiaaoaeuiinou aa?oei a?aoa G. a) Oeacaou a a?aoa G Yeea?iao oaiu. Anee oaeiaie oaie ia nouanoaoao, oi a a?aoa G aiaaaeou iaeiaiuoaa ?enei ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa ii?ii auei oeacaou Yeea?iao oaiu. a) Oeacaou a a?aoa G Yeea?ia oeee. Anee oaeiai oeeea ia nouanoaoao, oi a a?aoa G aiaaaeou iaeiaiuoaa ?enei ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa ii?ii auei oeacaou Yeea?ia oeee. Noaiaiiay iineaaiaaoaeuiinou aa?oei a?aoa G: (3,6,4,5,3,6,4,3,4,4) a) Aey nouanoaiaaiey Yeea?iaie oaie aiionoeii oieuei aaa aa?oeiu n ia?aoiuie noaiaiyie, iiyoiio iaiaoiaeii aiaaaeou iaii ?aa?i, nea?ai ia?ao aa?oeiaie 4 e 7. Iieo?aiiay Yeea?iaa oaiu: 0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3. Noaia Yeea?iaie oaie (aiaaaeaiiia ?aa?i iieacaii ioieoe?ii):  a) Aiaeiae?ii ioieoo a) aiaaaeyai ?aa?i {3,0}, caiueay Yeea?iao oaiu (i?e yoii auiieiyy oneiaea nouanoaiaaiey Yeea?iaa oeeea - ?aoiinou noaiaiae anao aa?oei). ?aa?i {3,0} e?aoiia, ?oi ia i?ioeai?a?eo caaaie?, ii i?e iaiaoiaeiinoe ii?ii aaanoe ?aa?a {0,7} e {4,3} aianoi ?aiaa aaaaaiiuo. Iieo?aiiue Yeea?ia oeee: 0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3,0. Noaia Yeea?iaa oeeea (aiaaaeaiiua ?aa?a iieacaiu ioieoe?ii):  Caaa?a 8 a) Oeacaou a a?aoa Gi? Aaieeuoiiia ioou. Anee oaeie ioou ia nouanoaoao, oi a a?aoa Gi? eciaieou i?eaioaoe? iaeiaiuoaai ?enea ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa Aaieeuoiiia ioou ii?ii auei oeacaou. a) Oeacaou a a?aoa Gi? Aaieeuoiiia oeee. Anee oaeie oeee ia nouanoaoao, oi a a?aoa Gi? eciaieou i?eaioaoe? iaeiaiuoaai ?enea ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa Aaieeuoiiia oeee ii?ii auei oeacaou. a) Aaieeuoiiia ioou (?aa?a n eciaiaiiie i?eaioaoeae iieacaiu ioieoe?ii):  a) Aaieeuoiiia oeee (?aa?a n eciaiaiiie i?eaioaoeae iieacaiu ioieoe?ii):  Caaa?a 9 (Caaa?a i eiiieaiy?a?a) Aai iieiue i?eaioe?iaaiiue neiiao?e?aneee a?ao  n aa?oeiaie x1, x2,...xn.Aan aoae xixj caaai yeaiaioaie Vij iao?eou aania. Eniieucoy aeai?eoi iaoiaa aaoaae e a?aieo, iaeoe Aaieeuoiiia eiioo? ieieiaeuiiai (iaeneiaeuiiai) aana. Caaa?o ia iaeneiaeuiia cia?aiea Aaieeuoiiiaa eiioo?a naanoe e caaa?a ia ieieiaeuiia cia?aiea, ?anniio?aa iao?eoo n yeaiaioaie ,aaa . Auiieieou ?enoiie. Enoiaiay oaaeeoa.
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 Oaaeeoa A 14
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 A?iaei ii ia?aoiao x2-x3: Oaaeeoa 23 =14+0=14
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 Oaaeeoa 23 =14+1=15
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 I?iaie?aai ii 23. A?iaei ii ia?aoiao x3-x6: Oaaeeoa 23E36 =14+0=14
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Oaaeeoa 2336 =14+6=20
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 I?iaie?aai ii 2336. A?iaei ii ia?aoiao x4-x5: Oaaeeoa 23E3645 =14+0=14
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 Oaaeeoa 233645 =14+1=15
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 I?iaie?aai ii 233645. A?iaei ii ia?aoiao x5-x1: Oaaeeoa 23364551 =14+1=15
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x1
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1

x6

00







 Oaaeeoa 23364551 =14+6=20
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 Ieii?aoaeuii eiaai Aaieeuoiiia eiioo?: 2,3,6,4,5,1,2.  I?aaa?aai ?acaeaiee:   Caaa?a 10 (Caaa?a i iacia?aieyo) Aai iieiue aaoaieuiue a?ao Knn n aa?oeiaie ia?aie aiee x1, x2,...xn.e aa?oeiaie a?oaie aiee y1, y2,...yn..Aan ?aa?a {xi,yj} caaaaony yeaiaioaie vij iao?eou aania. Eniieucoy aaiaa?neee aeai?eoi, iaeoe niaa?oaiiia ia?ini?aoaiea ieieiaeuiiai (iaeneiaeuiiai aana). Auiieieou ?enoiie. Iao?eoa aania aaoaieuiiai a?aoa K55 :
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 Ia?aue yoai - iieo?aiea ioeae ia io?ai, o. e. ioee o?a anou ai anao no?ie e noieaoao. Aoi?ie yoai - iaoi?aaiea iieiiai ia?ini?aoaiey.
y1
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 O?aoee yoai - iaoi?aaiea iaeneiaeuiiai ia?ini?aoaiey.
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X
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 ?aoaa?oue yoai - iaoi?aaiea ieieiaeuiie iii?u.
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 Iyoue yoai - aicii?iay ia?anoaiiaea iaeioi?uo ioeae.
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 ?aoaiea n iaioeaaui cia?aieai. Ia?aoia ei aoi?iio yoaio. Iieiia ia?ini?aoaiea:
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 Iaeneiaeuiia ia?ini?aoaiea:
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1
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X
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 Ieieiaeuiay iii?a:
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6

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4
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 Ia?anoaiiaea ioeae:
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y2
y3
y4
y5


x1
3
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6

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 Iieiia ia?ini?aoaiea:
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y2
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3
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6

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7

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 Iaeneiaeuiia ia?ini?aoaiea:
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y2
y3
y4
y5


x1
3
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X

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1
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X
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 Ieieiaeuiay iii?a:
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3






 Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5


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1

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1
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2
7
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3






 Iieiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
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0
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0
0


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x3
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1
1


x4
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3
5
0










 Iaeneiaeuiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
5
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X

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X
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X

X


 Ieieiaeuiay iii?a:
y1
y2
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y4
y5


x1
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0


x2
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3


x3
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1


x4
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1

x5
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 Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5


x1
5
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0
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0


x2
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3


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2
1
1


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4
3
1
1

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3
5
0










 Iieiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
5
0
0
0
0


x2
0
4
6
5
3


x3
2
0
2
1
1


x4
0
5
4
3
1
1

x5
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3
5
0










 Iaeneiaeuiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
5
0
0
0
0
X

x2
0
4
6
5
3
X

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1
1
X

x4
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3
1


x5
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4
3
5
0
X


X
X
X

X


 Ieieiaeuiay iii?a:
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y2
y3
y4
y5


x1
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0
0
0
0


x2
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4
6
5
3
3

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0



2






 Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5


x1
6
0
0
0
0


x2
0
3
5
4
2
3

x3
3
0
2
1
1


x4
0
4
3
2
0
1

x5
1
4
3
5
0



2






 Iieiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
6
0
0
0
0


 x2
0
3
5
4
2
3

x3
3
0
2
1
1


x4
0
4
3
2
0
1

x5
1
4
3
5
0



2






 Iaeneiaeuiia ia?ini?aoaiea:
y1
y2
y3
y4
y5


x1
6
0
0
0
0
X

x2
0
3
5
4
2
X

x3
3
0
2
1
1
X

x4
0
4
3
2
0


x5
1
4
3
5
0
X


X
X
X

X


 Ieieiaeuiay iii?a:
y1
y2
y3
y4
y5


x1
6
0
0
0
0


x2
0
3
5
4
2
4

x3
3
0
2
1
1


x4
0
4
3
2
0
1

x5
1
4
3
5
0
5


2



3


 A ?acoeuoaoa eiaai:
y1
y2
y3
y4
y5


x1
6
0
0
0
0


x2
0
1
3
2
2
4

x3
3
0
2
1
1


x4
0
2
1
0
0
1

x5
1
4
3
5
0
5


2



3


Enoiaiue a?ao  Iieo?aiiue a?ao:  Aan iaeaaiiiai niaa?oaiiiai ia?ini?aoaiey = 12. Caaa?a 11 ?aoeou caaa?o 10, eniieucoy aeai?eoi aaoaae e a?aieo (ioi?aanoaea aa?oeiu xi e yj). Oaaeeoa A (enoiaiay). No?iee - xi , noieaou - yj. =0
1
2
3
4
5


1
2
01
03
02
02


2
06
7
9
8
6


3
01
1
3
2
2


4
04
8
7
6
4


5
03
7
6
8
3










 A?iaei ii ia?aoiao x2 - y1: Oaaeeoa A21 =0+8=8
2
3
4
5


1
00
02
01
00


3
01
2
1
1
1

4
4
3
2
02
4

5
4
3
5
03
3








Oaaeeoa 21 =0+6=6
1
2
3
4
5


1
2
01
03
02
00


2

1
3
2
01
6

3
01
1
3
2
2


4
04
8
7
6
4


5
03
7
6
8
3










 I?iaie?aai ii 21: A?iaei ii ia?aoiao x4 - y1: Oaaeeoa 21A41 =6+4=10
2
3
4
5


1
00
02
01
00


2
1
3
2
01


3
01
2
1
1
1

5
4
3
5
03
3








Oaaeeoa 2141 =6+4=10
1
2
3
4
5


1
2
01
03
02
00


2

1
3
2
01


3
01
1
3
2
2


4

4
3
2
02
4

5
03
7
6
8
3










 I?iaie?aai ii A21: A?iaei ii ia?aoiao x5 - y5: Oaaeeoa A21A55 =8+2=10
2
3
4


1
00
01
00


3
01
2
1


4
2
1
01
2







Oaaeeoa A2155 =8+3=11
2
3
4
5


1
00
02
01
00


3
01
2
1
1


4
4
3
2
02


5
1
01
2

3








 I?iaie?aai ii A21A55: A?iaei ii ia?aoiao x3 - y2: Oaaeeoa A21A55A32 =10+0=10
3
4


1
01
00


4
1
01







 Aaeaa ?aoaiea i?aaeaii: x1 - y3 e x4 - y4. Yoi ia oaaee?eo ioaieo. A eoiaa eiaai niaa?oaiiia ia?ini?aoaiea n ieieiaeuiui aanii:  I?aaa?aai ?acaeaiee: 

 

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