Методи та алгоритми покомпонентного діагностування цифрових пристроїв, що базуються на реконфігурації їх структури: Автореф. дис… канд. техн. наук /

3

A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao

Naa/oe Oaia?a Ieaenaiae??aia

OAeE 681.518

IAOIAeE OA AEAI?EOIE IIEIIIIIAIOIIAI

Ae?AAIINOOAAIIss OeEO?IAEO I?ENO?I?A, UI AACOTHOUeNss

IA ?AEIIO?AO?AOe?? ?O NO?OEOO?E

Niaoe?aeuei?noue 05.11.16 – ?ioi?iaoe?eii-aei??thaaeuei? nenoaie

Aaoi?aoa?ao aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

A?iieoey — 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia ia eaoaae?? ?ioaeaeooaeueieo nenoai A?iieoeueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo I?i?noa?noaa ina?oe Oe?a?ie

Iaoeiaee ea??aiee:

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio, THoei/oe Na?a?e Aaneeueiae/,
A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, i?ioani? eaoaae?e
?ioaeaeooaeueieo nenoai

Io?oe?ei? iiiiaioe:

aeieoi? oaoi?/ieo iaoe, i?ioani? Eieacthe A?eoi? Ieeieaeiae/,
Oaoiieia?/iee oi?aa?neoao Iiae?eey (i.Oiaeueieoeueeee), caa?aeoaa/
eaoaae?e eiii’thoa?ieo nenoai.

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio Ee/ae Aaneeue Ia?oeiiae/,
A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, i?ioani? eaoaae?e
i?e?iaeaeo?ii?ee, i?aoaoi?ee oa ca’yceo.

I?ia?aeia onoaiiaa:

Aea?aeaaiee oi?aa?neoao “Euea?anueea iie?oaoi?ea”, eaoaae?a “Iao?ieia?y,
noaiaea?oecaoe?y oa na?oeo?eaoe?y”, I?i?noa?noai ina?oe Oe?a?ie,
i.Euea?a.

Caoeno a?aeaoaeaoueny “ 16 ” ea?oiy 1999 ?. i 12 aiaeei? 30 oaeeei ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 05.52.02 o A?iieoeueeiio
aea?aeaaiiio oaoi?/iiio oi?aa?neoao? ca aae?anith:

286021, i.A?iieoey, Oiaeueieoeueea oina, 95.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? A?iieoeueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ca aae?anith: 286021, i.A?iieoey,
Oiaeueieoeueea oina, 95.

Aaoi?aoa?ao ?ic?neaiee “ 11 ” aa?aciy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee _____________________ THoei/oe
N.A.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Ae??oaiiy aeooaeueieo caaea/ ianiaiai aeioneo
aenieiye?nieo ia?niiaeueieo eiii’thoa??a ??ciiiai?oieo oei?a, noai?aiiy
oa inai?iiy na??eiiai aeioneo iiaeo i?eeaae?a oa cania?a aaoiiaoecaoe??
ia?aaeaa/a? i?enooi?noue a?aeiia?aeiiai iiooaeiiai ae?aaiinoe/iiai
caaacia/aiiy aeaeo?iieo ae?ia?a ia an?o aoaiao ?o aeeoo?aiai oeeeeo.
Iaiao?aei?noue oaeiai caaacia/aiiy iiynith?oueny oei, ui /ei i?ci?oa
aeyaey?oueny iani?aai?noue, oei a?eueoa eioo?a o?aoeoueny ia ?? onoiaiiy
e oei nooo?a?oa ?? aieea ia ye?noue i?eno?i?a, ui aeaioiaeythoueny. Naia
oeei iiynith?oueny caoe?eaaeaiiy, ui i?iyaey?oueny oe?ieei eieii
oao?aoe?a ye a?o/eciyieo i?aei?e?inoa, oae ? caei?aeiieo o??i, aei
noai?aiiy oa ai?iaaaeaeaiiy aaoiiaoeciaaii? ae?aaiinoe/ii? aia?aoo?e.
sseui aei iaaeaaia aaoiiaoeciaai? ae?aaiinoe/i? onoaiiaee
aeei?enoiaoaaeenue aeey aeyaeaiiy iani?aaiinoae o?eueee a neeaaeieo
nenoaiao niaoe?aeueiiai i?ecia/aiiy oa nenoaiao, ui aei?iai eiooothoue,
oi ca?ac aac ieo ia iaoiaeeoueny i? iaeia i?aei?e?inoai. Naia iania?noue
aeei?enoaiiy ae?aaiinoe/ii? aia?aoo?e oa?aeoa?ia aeey no/anieo
i?aei?e?inoa, ui aeioneathoue caniae ia/enethaaeueii? oaoi?ee.

Iaiao?aeii a?aecia/eoe, ui oaiaeaioe??, ye? aaea aeaaii
iai?oeeeny aeey ae??oaiiy caaea/ i?aeaeuaiiy aoaeoeaiino? no/anieo
cania?a ae?aaiinooaaiiy, aeacothoue ia aeioe?euei?noue neioaco
eiio?ieai?eaeaoieo ia’?eo?a (iaoiae LSSD, BILBO e o. ?.). Aoaeo
aeinyaa?oueny aeaeiiiiceoe??th ia’?eoo ia eiiiiiaioe, ui ? aecia/a?
oaeee ?ioaa?aeueiee iieaciee i?ioeano eiio?ieth, ye aeeaeia
ae?aaiinooaaiiy oeeo?iaeo i?eno?i?a. Aiaeia?/i? ieoaiiy aeooaeuei? ? a
nenoaiao iieiiiiiaioiiai ae?aaiinooaaiiy, ye?, caaaeyee eiino?oeoeaiiio
aeinooio aaaaoiaieue/aoiai ciiaeo aei aioo??oi?o aoce?a oeeo?iaiai
i?eno?ith, aieiae?thoue a?eueo oe?ieeie iiaeeeainoyie ?aae?caoe??
??ciiiai?oieo i?aeoiae?a aei iiooeo i?noey aeaoaeo?a, i?ae a?aeii?
iaoiaee. Iaeiae iiaeeeaino? iiae?aieo cania?a iaiaaeai? oiio, ui iiaea/a
oanoiaeo aieea?a o aocee ca’ycaieo i?ae niaith aeaiaio?a ia? nai?
iniaeeaino? ? aecia/a? nooi?iue aeaeiiiiceoe?? oeeo?iaiai ia’?eoo
aeine?aeaeaiiy, a ioaea, e oi/i?noue cacia/aiiy i?noey aeaoaeo?a.
?nioth/? aeai?eoie e iaoiaee ae?aaiinooaaiiy iathoue oae? iaaeie?ee, ye
cia/ia o?oaeii?noe?noue ?ic?iaee i?ia?ai ae?aaiinooaaiiy, aeniea
neeaaei?noue oa aa?o?noue aei??thaaeueieo cania?a, a?aenooi?noue
iiaeeeaino? aeyaeaiiy iani?aaiinoae ooieoe?iioaaiiy aoce?a i?eno?i?a, ui
ae?aaiinoothoueny, ca aeiiiiiaith nenoai no?oeoo?iiai ae?aaiinooaaiiy,
iaaeinoaoiuei aeine?aeaeai? ieoaiiy ii?aeiaiiy ??cieo iaoiae?a
ae?aaiinooaaiiy i?eno?i?a. Oeyoe ye?niiai ae?aaiinooaaiiy oeeo?iaeo
i?eeaae?a ne?ae ooeaoe a aoaeoeaiiio ii?aeiaii? no?oeoo?iiai ?
iieiiiiiaioiiai iaoiae?a ae?aaiinooaaiiy. Oaeaee?noue ? iiaiioa
ooieoe?iiaeueieo ia?aa??ie no?oeoo?iiai i?aeoiaeo, aeiiiaiai?
iiaeeea?noth aeinyaiaiiy iaeneiaeueii? aeeaeie iiooeo i?noey aeaoaeo?a
iaoiaeaie iieiiiiiaioiiai ae?aaiinooaaiiy, iiaeii? caaacia/eoe
i?aeaeuaiiy aoaeoeaiino? oa yeino? oeeo?iaeo i?eno?i?a. Oaeei /eiii,
?ic?iaea a?eueo aoaeoeaieo iaoiae?a e aeai?eoi?a aioo??oiueinoaiiiai
ae?aaiinooaaiiy eeoa?oueny aeooaeueiith iaoeiaith i?iaeaiith oaoi?/ii?
ae?aaiinoeee.

?icaeoie icia/aieo iaoiae?a ia? iniaeeaa cia/aiiy aeey ?icaeoeo
iaoee ? ae?iaieoeoaa a Oe?a?i?, ai aeicaiey? noai?thaaoe aio/e?
iiaeoeuei? nenoaie eiio?ieth. E??i oiai, oae? iaoiaee e aeai?eoie
ciaoiaeyoue oe?iea canoinoaaiiy o ?iaeaia?i?e i?aeoeoe? i?e aiae?c?
aeioe?eueiino? aeei?enoaiiy eiie?aoii? no?aoaa?? ae?aaiinooaaiiy, yea ?
iaea?eueo aoaeoeaiith a aeiaaeeo, ui ?icaeyaea?oueny. Aeiaeaoeia?
cao?aoe ia aaoaeiaai? nenoaie ae?aaiinoeee ieoieyoueny ca ?aooiie
i?aeaeuaiiy iaae?eiino? nenoai, ui ooieoe?iiothoue, ? i?iaeiaaeaiiy
oa?i?io aenieoaoaoe?? aac i?io?eaeoe/iiai iaeyaeo, ui iniaeeai
aeooaeueii a ca’yceo c iaiao?aei?noth oaoiieia?/iiai i?ia?ano Oe?a?ie a
aaeoc? ?ioi?iaoe?eiiai caaacia/aiiy ae?iaieoeoaa ye?nieo
?aae?iaeaeo?iieo ae?ia?a.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa
aeeiioaaeanue ca?aeii c oaiaoe/iei ieaiaie aeeiiaiiy IAeAeE? ?c eioo?a
aea?aeaaiiai athaeaeaoo A?iieoeueeiai iie?oaoi?/iiai ?inoeoooo oa
A?iieoeueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo, ocaiaeaeaiei
I?i?noa?noaii ina?oe Oe?a?ie “?ac?aaioea eiiieaena n?aaenoa
eiiaeie?iaaiiiai aeeaaiinoe?iaaiey yeaeo?iiiie aia?aoo?u ia yoaiao a?
i?iecaiaenoaa e yenieoaoaoeee” (? aea?ae. ?a?no?. 0193U027484), a oaeiae
c oaiaoe/iei ieaiii i?iaaaeaiiy IAeAeE? o A?iieoeueeiio iie?oaoi?/iiio
?inoeooo? ia ainiaeiaia??ieo canaaeao c III “Ia?nae” (i.Iineaa)
“Enneaaeiaaiea e ?ac?aaioea yooaeoeaiuo iaoiaeia e n?aaenoa eiio?iey,
eniuoaiee e aeeaaiinoeee nai?i/ii-iiioaaeiiai i?iecaiaenoaa” (? aea?ae.
?a?no?. 01890077568) oa c IAe? AOO II “Oa?i?iae” (i.A?iieoey)
“Enneaaeiaaiea iaoiaeia e n?aaenoa iaania/aiey eiio?ieai?eaiaeiinoe
aiaeiaiauo e oeeo?iauo aeieia” (?aea?ae. ?a?no?. 01890077569).

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith aeena?oaoe?eii? ?iaioe ?
oaeineiiaeaiiy oa iiaeaeueoee ?icaeoie iieiiiiiaioiiai iaoiaeo
ae?aaiinooaaiiy oeeo?iaeo ia’?eo?a aeine?aeaeaiiy ca ?aooiie ?ic?iaee
aoaeoeaieo iaoeiieo i?ioeaaeo? iiooeo aeaoaeo?a c o?aooaaiiyi e?eoe/ieo
cia/aiue oaieio?ce/ieo ia?aiao??a i?ioeano iaaaaeaiiy oanoiaeo neaiae?a,
aia?aoieo cania?a oanooaaiiy, ui iai?aaeai? ia ca?eueoaiiy aeeaeie
ae?aaiinooaaiiy, a oaeiae iaoiae?a, ui aacothoueny ia ?aeiio?ao?aoe??
no?oeoo?e ia’?eoo aeine?aeaeaiiy, i?e iaaeiiouaii? aoi?eiieo aeaoaeo?a.
A ?aieao aeeeaaeaiiai aeua, aeey aeinyaiaiiy iinoaaeaii? iaoe a
aeena?oaoe?ei?e ?iaio? iaiao?aeii ae??oeoe ianooii? ieoaiiy:

1. Ia i?aenoaa? aiae?co oaieio?ce/ieo iniaeeainoae i?ioean?a iaaaaeaiey
oanoiaeo neaiae?a o aioo??oi? aocee oeeo?iaiai ia’?eoo aeine?aeaeaiiy
?ic?iaeoe iiaeae? i?ioeano ?o aacaeaoaeoiiai oanooaaiiy.

2. ?ic?iaeoe iaoiaeeeo oa aoaeoeai? i?ioeaaeo?e ae?aaiinooaaiiy, ui
aeicaieyoue ia iniia? oi?ioaaiiy i?i?iaeueieo eiiiiiaioieo no?oeoo?
i?enei?eoe i?ioean aacaeaoaeoiiai ae?aaiinooaaiiy anueiai oeeo?iaiai
i?eno?ith.

3. ?ic?iaeoe iaoiaeeeo ae?aaiinooaaiiy eiiiiiaio?a oeeo?iaeo i?eno?i?a
ia iniia? oi?ioaaiiy no?oeoo? ?c canoinoaaiiyi ooo/ieo eaiae?a ia?aaea/?
oanoiai? ?ioi?iaoe??.

4. ?ic?iaeoe aeai?eoi aiae?co oanoii?eaeaoiino? oeeo?iaeo i?eno?i?a.

5. ?ic?iaeoe aia?aoi? caniae oa i?ia?aiia caaacia/aiiy aeey nenoai, ui
iniiaai? ia ?aeiio?ao?aoe?? no?oeoo?e oeeo?iaeo i?eno?i?a.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. Iaoeiaa iiaecia ?iaioe iieyaa?
a iaea?aeaii? ianooiieo ?acoeueoao?a:

1. Cai?iiiiiaaia iaoaiaoe/ia iiaeaeue, ui iieno? oaieio?ce/i? i?ioeane
iaaaaeaiiy oanoiaeo aieea?a o eiio?ieuei? oi/ee oeeo?iaiai ia’?eoo
aeine?aeaeaiiy c o?aooaaiiyi /aniaiai oaeoi?o.

2. Aia?oa ?ic?iaeaia iaoiaeeea ei?aeoe?? i?ia?ai oanoiaiai eiio?ieth
eiiii- iaio?a c iaoith iioei?caoe?? i?ioeano aacaeaoaeoiiai
ae?aaiinooaaiiy ii /ano.

3. ?ic?iaeaii iiaeeo?eiaaiee -aeai?eoi iiooeo aaeoi??a ii/aoeiaeo oiia
ae?aaiinooaaiiy noiniaii nenoai cacia/aiiai eeano, ?aae?caoe?y yeiai
caaacia/eoue aacaeaoaeoia iaaaaeaiiy oanoiaeo neaiae?a o aioo??oi?
eiio?ieuei? oi/ee oeeo?iaiai i?eno?ith.

4. Cai?iiiiiaaia iiaa iaoiaeeea ae?aaiinooaaiiy oeeo?iaeo ia’?eo?a c
iaoith ni?iuaiiy ? i?enei?aiiy i?ioean?a oanoiaiai iiooeo i?noey
aeaoaeo?a, yea iniiaaia ia ci?i? no?oeoo?e ia’?eoo aeine?aeaeaiiy ia /an
ae?aaiinooaaiiy ca ?aooiie aaaaeaiiy aeiaeaoeiaeo ooo/ieo eaiae?a
ia?aaea/? oanoiai? ?ioi?iaoe??.

5. ?ic?iaeaii aeai?eoi aiae?co oanoii?eaeaoiino? eiiiiiaioieo no?oeoo?
oeeo?iaeo ia’?eo?a, yeee aeicaiey? ia i?aenoaa? aiae?co neeaaeiino?
?aae?caoe?? aacaeaoaeoiiai oanoiaiai eiio?ieth oeeo?iaeo i?eno?i?a
i?eeiaoe ??oaiiy i?i canoinoaaiiy a eiaeiiio eiie?aoiiio aeiaaeeo
iaea?eueo aoaeoeaiiai iaoiaeo iieiiiiiaioiiai ae?aaiinooaaiiy aeey
nenoai cacia/aiiai eeano: oaeiai, ui aaco?oueny ia ?aeiio?ao?aoe??
no?oeoo?e ia’?eoo aeine?aeaeaiiy, iio?aaiaioiiai, aai iaoiae?a
eiio?ieai?eaeaoiiai i?iaeooaaiiy.

6. Cai?iiiiiaai? no?oeoo?ia noaia nenoaie iieiiiiiaioiiai
ae?aaiinooaaiiy oa noaia aeieo eiio?ieth oeeo?iaeo ?ioaa?aeueieo noai,
?ic?iaeaii i?ia?aiia caaacia/aiiy, ui ?aae?co? cai?iiiiiaai? iaoiaee ?
aeai?eoie.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. I?aeoe/ia cia/aiiy
?iaioe iieyaa? a oiio, ui aia?aoi? e i?ia?aii? caniae nenoai
iieiiiiiaioiiai ae?aaiinooaaiiy, ye? ?ic?iaeai? ia iniia? iaoiae?a, ui
aoee cai?iiiiiaai?, aeicaieeee ca?eueoeoe aeeaeio iiooeo aeaoaeo?a
oeeo?iaeo i?eno?i?a, a oaeiae a 1,15–1,5 ?ac nei?ioeoe caaaeueiee /an
?aae?caoe?? ?o i?ia?aie oanoiaiai eiio?ieth a oiiaao na??eiiai
ae?iaieoeoaa. ?ic?iaeai? i?ia?aii? caniae noiniaii iaoiaeee e
aeai?eoi?a iieiiiiiaioiiai ae?aaiinooaaiiy iiaeooue aooe aeei?enoai? a
?iaeaia?i?e i?aeoeoe?, ye aeey io?eiaiiy eiie?aoieo ?acoeueoao?a
ooieoe?iioaaiiy oeeo?iaeo i?eno?i?a, oae ? aeey i?iaiicoaaiiy
?acoeueoao?a ?o ae?aaiinooaaiiy. Cai?iiiiiaai? no?oeoo?i? noaie nenoaie
iieiiiiiaioiiai ae?aaiinooaaiiy oa aeieo eiio?ieth oeeo?iaeo
?ioaa?aeueieo noai aeathoue iiaeeea?noue i?aeoe/ii ?aae?coaaoe nenoaie
ae?aaiinooaaiiy, ui i???ioiaai? ia aeei?enoaiiy ?ic?iaeaieo iaoiae?a.
Io?eiai? iaoeia? ?acoeueoaoe ai?iaaaeaeaii ia iaoeiai-ae?iaie/iio
eiiieaen? “I?eeaaeiaoae?aiee caaiae” (i.A?iieoey). Ai?iaaaeaeaiiy
i?aeoaa?aeaeo?oueny a?aeiia?aeiei aeoii.

Iniaenoee aianie caeiaoaa/a. An? iniiai? iieiaeaiiy
aeena?oaoe?eii? ?iaioe, cai?iiiiiaai? iaoiaee e aeai?eoie
ae?aaiinooaaiiy a?aeiinii nenoai cacia/aiiai eeano, ?ic?iaeai?
caeiaoaa/ai naiino?eii.

Ai?iaaoe?y ?acoeueoao?a. Aeeeaaeai? a aeena?oaoe?ei?e ?iaio?
?acoeueoaoe aeine?aeaeaiue aeiiia?aeaeeny ia 7 iaoeiaeo eiioa?aioe?yo,
na?aae ieo: iaoeiai-oaoi?/ia eiioa?aioe?y c i?aeia?iaeiith o/anoth
“I?eai?ino?iaiea-96” (Noaeae, 1996?.), i?aeia?iaeiee neiiic?oi “Iaoea e
i?aae?eieiaoaeuenoai” (Euea?a, 1997?.), iaoeiai-oaoi?/i? eiioa?aioe?? o
AAeOO a 1995-1998?.?., iaoeiai-oaoi?/ia eiioa?aioe?y
“I?eai?ino?iaiea-97” (Neia?c, 1997?.).

Ioae?eaoe??. ?acoeueoaoe aeena?oaoe?eii? ?iaioe iioae?eiaai? a 3
noaooyo, 5 iaoa??aeao ? oacao iaoeiaeo eiioa?aioe?e.

Ianya ? no?oeoo?a aeena?oaoe??. Aeena?oaoe?eia ?iaioa
neeaaea?oueny ?c anooio, /ioe?ueio ?icae?e?a, caeeth/aiiy, aeiaeaoe?a e
nieneo aeei?enoaii? e?oa?aoo?e c 85 iaeiaioaaiue. ?iaioa aeeeaaeaia ia
225 noi??ieao ae?oeiaaiiai oaenoo ? neeaaea? 195 noi??iie iniiaiiai
oaenoo, c ieo — 63 ?enoiee, 8 oaaeeoeue e 8 aeiaeaoe?a, ui i?noyoue
i?aeoe/io ?aae?caoe?th cai?iiiiiaaieo iaoiaeee ? aeai?eoi?a, a oaeiae
?acoeueoaoe ?o ?iaioe o aeaeyae? i?ia?aiiiai caaacia/aiiy oa aeo
ai?iaaaeaeaiiy ?acoeueoao?a aeine?aeaeaiue.

INIIAIEE CI?NO ?IAIOE

O anooi? ?ice?eoi noai iaoeiai? i?iaeaie, ?? cia/ou?noue, iaa?oioiaaii
iaiao?aei?noue i?iaaaeaiiy iaoeiaeo aeine?aeaeaiue, ?o aeooaeuei?noue oa
aeioe?euei?noue aeey ?icaeoeo oaoi?/ii? ae?aaiinoeee. Aeeeaaeaii ca’ycie
i?iaaaeaieo aeine?aeaeaiue c oaiaoe/ieie ieaiaie i?iaaaeaiiy IAeAeE? o
A?iieoeueeiio iie?oaoi?/iiio ?inoeooo? oa A?iieoeueeiio aea?aeaaiiio
oaoi?/iiio oi?aa?neoao?. Noi?ioeueiaaii iaoo aeena?oaoe?eii? ?iaioe,
aecia/aii iaoeiao iiaecio iaea?aeaieo ?acoeueoao?a oa ?o i?aeoe/ia
cia/aiiy.

A ia?oiio ?icae?e? i?iaaaeaii aiae?c o?ce/ieo aeanoeainoae i?iyao ?
iiooeo aeaoaeo?a a oeeo?iaeo i?eno?iyo. Oaeineiiaeaiiy oaoiieia??
aeaioiaeaiiy ?ioaa?aeueieo noai oneeaaeieei eiio?ieue ? ae?aaiinooaaiiy
ye aaeeeeo ? iaaeaaeeeeo ?ioaa?aeueieo noai (A?N ? IA?N), oae ?
i?eno?i?a, iiaoaeiaaieo ia ?o aac?. Aiae?c iieacaa, ui aaaaoi aeae?a
aeaoaeo?a ?ioaa?aeueieo noai (?N) aeyaeythoueny i?e i?aeaeuaii?
oaiia?aoo?e aai iai?oae aeeaeaiiy. Aeyaeaiiy icia/aieo aeaoaeo?a
o?aaeeoe?eieie caniaaie ia aea? aaaeaieo ?acoeueoao?a. I?ioean iiooeo
aeaoaeo?a aoaeue-yei? ?N noi?iaiaeaeo?oueny ?ic?a??aii ia?aoiae?a
ie?aieo eiai aeo?aeieo o?aicenoi??a ? i?aeaeuaiiyi oaiia?aoo?e e?enoaeo
? ei?iona i?e?inoaie. Iaea?eueoa ?iia??i?noue iioeiaeaeaiiy a
?acoeueoao? i?io?eaiiy no?oio a ?aaeei? i?eioniai? ci?ie ??ai?a neaiae?a
oa?aeoa?ia aeey aeo?aeieo eaneaae?a i?eno?ith, aeey yeeo aeeiio?oueny
i?eioniaa ci?ia ??ai?a aeo?aeieo neaiae?a. ?acoeueoaoe aeine?aeaeaiue
aeeiai?ee ci?ie oaiia?aoo?e ?-i-ia?aoiae?a i?e aioo??oiueinoaiiiio
ae?aaiinooaaii? ?N iieacothoue, ui caaacia/aiiy caaeaieo oa?aeoa?enoee
?N iiaeeeaa, yeui ia?aa??ea aocea aioo??oiueinoaiiei iaoiaeii
aeeiio?oueny ca /an, ui ia ia?aaeuo? e?eoe/ia cia/aiiy, coiiaeaia
ia??iaeii a??ia?aeiiai eiio?ieth. A caaaeueiiio aeiaaeeo /an
a??ia?aeiiai eiio?ieth aecia/a?oueny ni?aa?aeiioaiiyi i?ae aeiaeaoeiaith
iiooaei?noth, ui i?aeaiaeeoueny aei aocea, ? aeanoea?noth oeeo?iai? ?N
?icn?thaaoe oeth iiooaei?noue. Ne?aenoaii ?icaaeaino i?ae iai?oaith, ui
i?aeaiaeeoueny oa iiooaei?noth, ui ?icn?th?oueny, ? ?ioaineaia
i?aeaeuaiiy oaiia?aoo?e ?-i-ia?aoiae?a, yea iiaea i?ecaanoe aei
?oeioaaiiy aioo??oiuei? no?oeoo?e ?N ? iiyae a ia’?eo? ae?aaiinooaaiiy
aoi?eiieo aeaoaeo?a.

A ?iaio? i?iaaaeaii ii??aiyeueiee aiae?c iaoiae?a oanoiaiai
ae?aaiinooaaiiy oeeo?iaeo i?eno?i?a (OeI): no?oeoo?iiai, iieiiiiiaioiiai
? eiia?iiaaiiai. Eiio?ieue OeI iaoiaeii iieiiiiiaioiiai ae?aaiinooaaiiy
cae?enith?oueny oeyoii aeaeiiiiceoe?? (?icaeooy an??? noaie ia
neeaaeia?), a i?ney oeueiai ia?aa??ee eiaeii? /anoeie (eiiiiiaioo) noaie
iaoiaeii noeioethaaiiy aioo??oi?o oi/ie oeeo?iaiai i?eno?ith
?iioeuenieie neaiaeaie, ui caaacia/othoue iaiao?aei? noaie ia aoiaeao
oeeo?iaeo eiiiiiaio?a, ui oanoothoueny, ? ioe?ioe? a?aeaoe?a ia ?o
aeoiaeao. A ?iaio? i?iaiae?ciaai? oaoi?/i? ??oaiiy, ui ?aae?cothoue
iaoiaee aacaeaoaeoiiai eiio?ieth oeeo?iaeo i?eno?i?a oa i?eaaaeaii
ia?aaaae e iaaeie?ee nenoai iieiiiiiaoiiai ae?aaiinooaaiiy. Ia iniia?
i?iaaaeaiiai aiae?co iaoiae?a oanoiaiai ae?aaiinooaaiiy oeeo?iaeo
ia’?eo?a aeine?aeaeaiiy noi?ioeueiaai? iniiai? caaea/? aeine?aeaeaiue a
aeena?oaoe?ei?e ?iaio?.

Ae?oaee ?icae?e i?enay/aii ieoaiiyi ?ic?iaee iaoiaeeee ? aeai?eoio
caaacia/aiiy oiia aacaeaoaeoiiai eiio?ieth oeeo?iaeo ia’?eo?a, ui ?
iaeiei c iniiaieo aoai?a cai?iiiiiaaiiai iaoiaeo iieiiiiiaioiiai
ae?aaiinooaaiiy OeI, yeee aaco?oueny ia ?aeiio?ao?aoe?? ?o no?oeoo?e.

I?iaaaeaii aiae?c iniiaieo oaieio?ce/ieo i?ioean?a, ui i?io?eathoue i?e
iaaaaeaii? oanoiaeo neaiae?a o aioo??oi? eiio?ieuei? oi/ee ??cieo
oeeo?iaeo ia’?eo?a aeine?aeaeaiiy caniaaie iieiiiiiaioiiai
ae?aaiinooaaiiy. Aecia/aii iniiai? ?ic?aooieia? oa?aeoa?enoeee
oaieio?ce/ieo i?ioean?a, ui i?io?eathoue o aeo?aeieo eaneaaeao ca’ycaieo
i?ae niaith aeaiaio?a no?oeoo?e oeeo?iaeo ia’?eo?a. Anoaiiaeaii, ui
aeno?aiaeuei? ia?aiao?e iiaea/? oanoiaeo neaiae?a o aioo??oi? aocee
ca’ycaieo i?ae niaith aeaiaio?a ia’?eoo aeine?aeaeaiiy iaiaaeai?
cia/aiiyie iiooaeiino? Pa?ai, oaiia?aoo?e Ta?ai ? /ano t? max. Icia/ai?
ia?aiao?e aecia/athoue aacaeaoaeoiee oa?aeoa? iaaaaeaiiy neaiae?a
aaeoi?o onoaiiai/iiai iaai?o (OI) Lioi, ui caaacia/o? aaeoi? ii/aoeiaeo
oiia ae?aaiinooaaiiy (IOAe) aeey eiaeiiai aeaiaioo OeI. I?e oeueiio,
iaeneiaeueii aeiionoeia oaiia?aoo?a ?ic?a??ao, a, ioaea, ? /an
i?eioniai? ci?ie ??aiae oanoiaiai neaiaeo, ui iaaiaeeoueny, t?ic,
iaiaaeai? cia/aiiyi, i?e yeiio niinoa??aa?oueny aiiiaeueia ci?ia
oa?aeoa?enoee o?aicenoi??a. Oiiae caaacia/aiiy oaieiaiai ?aaeeio
i?e?inoai na?aaeiuei? ? aaeeei? iiooaeiino? aecia/athoueny ye:

?a?ai ( Oe a?ai — O*a?ai)/RO ,
(1)

aea ?a?ai, Oe a?ai, O*a?ai — a?aie/ii aeiionoei? cia/aiiy a?aeiia?aeii:
iiooaeiino? ui ?icn?th?oueny; oaiia?aoo?e e?enoaeo i?e?inoaie;
oaiia?aoo?e iaaeieeoiueiai na?aaeiaeua (aeey na?aaei?o i?e?inoai), aai
oaiia?aoo?e ei?iono i?e?inoaie (aeey aaeeeeo i?e?inoai); RO – oaieiaee
ii??. Aiae?c iieacaa, ui oa?aeoa? i?ioeano iaa??aaiiy i?e?inoaie i?e
i?eionia?e ci?i? ??ai?a neaiae?a ia? aeaeyae:

Te a?ai — T* a?ai Pa?ai RO (1 — exp(-t? / ))
(2)

a i?ioeano ioieiaeaeaiiy:

Tioie = T* exp( ti/ ),
(3)

aea Oioie — oaiia?aoo?a, aei yei? iaiao?aeii i?iaiaeeoe ioieiaeaeaiiy
i?e?inoaie, T* — oaiia?aoo?a iaaeieeoiueiai na?aaeiaeua, t?(ti) – /an
iiaea/? ?iioeueno (iaoce) iiooaeiino?. Iaeneiaeueiee /an i?eioniai?
ci?ie ??ai?a neaiae?a t? max, c oi/ee ci?o iaiaaeaiiy ia?aa??ao
i?e?inoaie, iiaea aooe aecia/aiee ye:

t? max ln(1 — (Te a?ai – Tn a?ai)/
(Pa?aipicscalex100010009000003ce00000002001c0000000000050000000902000000
0005000000020101000000050000000102ffffff00050000002e01180000000500000031
0201000000050000000b0200000000050000000c02200200021200000026060f001a00ff
ffffff000010000000c0ffffffa6ffffffc0010000c60100000b00000026060f000c004d
61746854797065000050001c000000fb0220ff0000000000009001010000000402001054
696d6573204e657720526f6d616e002a82ed77c067ef777e030a4000000a00040000002d
01000008000000320ae00127010100000054041c000000fb0280fe000000000000900101
0000000402001054696d6573204e657720526f6d616e002a82ed77c067ef7774030aa800
000a00040000002d01010004000000f001000008000000320a800146000100000052000a
00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc0200
0000cc0102022253797374656d00772004668a07008a0100000a000600000007008a0100
000a00040000002d01000004000000f0010100030000000000 )).
(4)

?ic?iaeaii iaoiae aacaeaoaeoiiai iaaaaeaiiy neaiae?a oanoiaiai eiio?ieth
o aioo??oi? eiio?ieuei? oi/ee oeeo?iaeo ia’?eo?a. Ca?aeii
cai?iiiiiaaiiio iaoiaeo, i?ioean oanooaaiiy eiiiiiaio?a OeI, aeey yeeo
/an ?aae?caoe?? ?o i?ia?ai ae?aa- iinooaaiiy ia?aaeuo? ?ic?aoiaaia
cia/aiiy /ano aacaeaoaeoiiai iaaaaeaiiy neaiae?a, yaey? niaith
iine?aeiai?noue ia??iae?a i?e?iaeiueiai ?ic?a??ao iai?a- i?ia?aeieeiaeo
no?oeoo? i?e?inoai OeI (/an ?aae?caoe?? oanoiaeo aaeoi??a) ? ae- iooaieo
oei/aniaeo ?ioa?aae?a ?o ioieiaeaeaiiy (oanoia? aaeoi?e ia
iiaeathoueny). I?e oeueiio i?aeoiae? oi?iothoueny i?i?iaeuei?
eiiiiiaioi? no?oeoo?e ia’?eo?a ae?aa- iinooaaiiy c o?aooaaiiyi
caaacia/aiiy aaeoi??a aeaeo?e/iiai caoenoo aeaiaio?a. C iaoith
iioei?caoe?? i?ioeano ae?aaiinooaaiiy anoaiiaeaii, ui /an ?aae?caoe??
i?ia?ai oanoiaiai eiio?ieth anueiai OeI iiaea aooe ciaioaiee ca ?aooiie
iaaiiai oii?yaeeoaaiiy aaeoi??a oanoiai? iao?eoe? oiai aai ?ioiai
eiiiiiaioo OeI.

Iaoae caaeaii oanoiao iao?eoeth Oi
=tpqppicscalex100010009000003d100000003001500000000000500000009020000000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,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, aea n(m) —
a?aeiia?aea? e?eueeino? ?? ?yaee?a (noiai/ee?a), a tpq0,1 oa?aeoa?eco?
cia/aiiy oanoiaeo neaiae?a. Iaoae oaeiae eiaeiiio oanoiaiio neaiaeo
tpqTi a?aeiia?aea? aeayeee ?ioa?aae /ano eiai ?aae?caoe?? a i?ioean?
ae?aaiinooaaiiy i-iai eiiiiiaioo i?eno?ith: pq=1 aai pq=0, aea 1(0) —
/an iiaea/? neaiaeo eia?/ii? iaeeieoe? (eia?/iiai ioey). Oiae?
aoaeue-yeiio noiai/eeia? tqTi oanoiai? iao?eoe? eiiiiiaioo a?aeiia?aea?
oii?yaeeiaaia iine?aeiai?noue (1,2,…,k) oei/aniaeo ?ioa?aae?a, ui
a?aeiia?aeathoue ia’?aeiaiei a?oiai neaiae?a eia?/ii? iaeeieoe? aai
eia?/iiai ioey, e aeey aoaeue-yeiai c ieo aeeiio?oueny ??ai?noue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,
aea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; k —
e?euee?noue ?ioa?aae?a ?icaeooy. I?e oeueiio yeui ?nio? oi/a a iaeei
aaeoi?-noiai/ee iao?eoe? Oi, aeey yeiai ni?aaaaeeeaa oiiaa
ocaiaeaeaiino?, eiee ( tj) ( t?ic), oi oaeee aaeoi? tj Ti (a, ioaea,
? anth iao?eoeth Ti) iaiao?aeii ei?aeooaaoe, ai aeeiiaiiy oe??? oiiae
i?ecaiaeeoue aei neooaoe??, i?e ye?e ii?ooothoueny ia?aiao?e
aacaeaoaeoiiai oaieiaiai ?aaeeio oanoiaiai eiio?ieth aeaiaio?a
i?eno?ith. I?ioean ei?aeoe?? iieyaa? a oii?yaeeoaaii? iiiaeeie
aaeoi??a-?yaee?a
(Oi=t??picscalex100010009000003d1000000030015000000000005000000090200000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) oaeei
/eiii, uia /enei neooaoe?e, i?e yeeo aeeiio?oueny iaa?aeiia?aei?noue
oiia? ocaiaeaeaiino?, aoea caaaeaia aei i?i?ioio. Ia i?aenoaa? iaoiaeo
ei?aeoe?? oanoiaeo iao?eoeue ?ic?iaeaii aeai?eoi ?o oii?yaeeoaaiiy.

?ic?iaeaii iaoiae iiooeo aaeoi??a onoaiiai/ieo iaai??a (OI), ?aae?caoe?y
yeeo caaacia/o? iaiioeiaeaeoth/a iaaaaeaiiy oanoiaeo neaiae?a o
aioo??oi? eiio?ieuei? oi/ee ia’?eoo aeine?aeaeaiiy. A iniia?
cai?iiiiiaaiiai iaoiaeo eaaeeoue iiaeeo?eiaaiee -aeai?eoi.

A e c i a / a i i y. I?i?iaeueiei eiiiiiaioii Vi V iaceaa?oueny o?aaiaio
no?oeoo?e ia’?eoo aeine?aeaeaiiy, aeey yeiai aeeiiothoueny oiiae
ae?aaiinoe/iiai aenia?eiaioo ? Vi= min.

A caaaeueiiio aeiaaeeo eiiiiiaioii OeI iiaea aooe o?aaiaio noaie,
i?e/iio, yeui a neeaae eiaeiiai eiiiiiaioo aoiaeeoue o?eueee iaeei
aeaiaio, oi oea a?aeiia?aea? iaeneiaeuei?e aeeaei? iiooeo aeaoaeo?a
i?eno?ith, a nai i?ioean ae?aa- iinooaaiiy ? iiaeaiaioiei. C oi?iaeueii?
oi/ee ci?o aoaeaii aaaaeaoe, ui eiaeiiio aeaiaioo viV noaie OeI
a?aeiia?aea? iiiaeeia ao?aeieo oanoiaeo aaeoi??a Di=dik=(dki,1, dki,2,…,
dki,m)1 k
picscalex100010009000003d70000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00280011200000026060f001a00ffffffff00001000
0000c0ffffffadffffff400100004d0200000b00000026060f000c004d61746854797065
0000600015000000fb0200ff0000000000009001000000000402001054696d6573204e65
7720526f6d616e00007a040000002d01000008000000320a170115010100000027001500
0000fb0200ff0000000000009001010000000402001054696d6573204e657720526f6d61
6e00007a040000002d01010004000000f001000008000000320a5002c000010000006900
15000000fb0240fe0000000000009001010000000402001054696d6573204e657720526f
6d616e00007a040000002d01000004000000f001010008000000320ae001390001000000
72000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000
bc02000000cc0102022253797374656d00cc040000002d01010004000000f00100000300
00000000, iiaea/a yeeo anoaiiaeth? ia aeoiae? aeaiaioo eia?/io
iaeeieoeth, aea dki — aaeoi? ao?aeieo neaiae?a aeaiaioo vi, a

O, ui a?aeiia?aea? neaiaeo eia?/iiai ioey;

dki,j = 1, ui a?aeiia?aea? neaiaeo eia?/ii? iaeeieoe?;

, ui a?aeiia?aea? aaeaeoaeiio noaio j-iai aoiaeo aeaiaioo vi.
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- iiiaeeia aoiae?a aeaiaioo vi.

Ciaoiaeaeaiiy aaeoi?o Lioi caiaeeoueny aei aecia/aiiy i?i?iaeueii?
i?aeiiiaeeie Eiw E iaeaeeae/eo aioo??oi?o eiio?ieueieo oi/ie (ui
a?aeiia?aeathoue i?ia?aeieeai OeI), iiaea/a a ye? neaiae?a eia?/iiai
ioey anoaiiaeoue aaeoi? Lioi aeey aeaiaioo vi. A iiaeaeueoiio, aeey
c?o/iino?, aoaeaii aaaaeaoe, ui EiwE0=, aeey eiaeiiai aeaiaioo viV, aea
E0E — i?aeiiiaeeia aeoa, ui a?aeiia?aeathoue aeaiaeai e?a?aiai ?ic’?io
OeI. Iaoaiaoe/ia caaea/a ciaoiaeaeaiiy aaeoi?o Lioi aeey eiaeiiai
aeaiaioo vi i?eno?ith caiaeeoueny aei ia/eneaiiy oa?i?a dikD, aoeaaeo
ooieoe?e, ui aoiaeyoue a AeIO. Aiie ?aae?cothoue aeaiaioe vjViw ia’?eoo,
ui aeine?aeaeo?oueny, aea Viw=vj(ljEiw)(I? li=vj) — iiiaeeia aeaiaio?a
OeI, aoiaee yeeo aaciina?aaeiuei ca’ycai? c iiiaeeiith aeoa Eiw; dik —
aaeoi? neaiae?a, aeey yeiai aeeiio?oueny oiiaa (di k, di k )(dik ,1), ui
aeinyaa?oueny i?e ?aae?caoe?? -aeai?eoio oeyoii cai?ie an?o di,k=1 ia
cia/aiiy di,k=. Ia i?aenoaa? iaoiaeo caaacia/aiiy oiia iaiioeiae-
aeoth/iai eiio?ieth OeI ?ic?iaeaii aeai?eoi ?o aacaeaoaeoiiai
ae?aaiinooaaiiy.

O?ao?e ?icae?e i?enay/aiee ?ic?iaoe? iieiiiiiaioiiai iaoiaeo
ae?aaiinooaaiiy oeeo?iaeo i?eno?i?a a oiiaao iaiioeiaeaeoth/iai
eiio?ieth, ui aaco?oueny ia ?aeiio?ao?aoe?? ?o no?oeoo?e. Iaoae
no?oeoo?a ca’ycaieo i?ae niaith aeaiaio?a i?eioeeiiai? oeeo?iai? noaie
ia’?eoo aeine?aeaeaiiy i?aaenoaaeaia o aeaeyae? i???ioiaaiiai a?aoa
G(V,E), aea
V=Viipicscalex100010009000003d100000003001500000000000500000009020000000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-iiiaeeia
eiiiiiaio?a OeI,
E=ejjpicscalex100010009000003d100000003001500000000000500000009020000000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 — iiiaeeia
aeoa, ui a?aeiia?aeathoue ooieoe?iiaeueiei ca’yceai (iicia/eii ?o ye
eiio?ieuei? oi/ee EO) i?ae eiiiiiaioaie OeI. Iinoaaeii oaeiae o
a?aeiia?aei?noue eiaei?e c aeoa ekE, aea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, a?aoa G
i?aeiiiaeeio cia/aiue oanoiaeo neaiae?a lk0, 1,, ui iaiao?aei? (i?e
iiaea/? ?o a aeaio EO) aeey caaacia/aiiy oiia aeaeo?e/iiai caoenoo
eiiiiiaio?a OeI, aea 0(1) — ceaiaee eia?/iiai «0” (eia?/ii? “1»), =o1 —
aaeaeoae? cia/aiiy neaiaeo a aeai?e EO. Iicia/eii iiiaeeio aeoa, ui
aoiaeyoue (aeoiaeyoue) a(c) aa?oeio vi, ye A+(Vi)(A-(Vi)), a oaeiae
caaaeueio iiiaeeio aeoa, ?ioeeaeaioieo aa?oei? vi, ye A(Vi), aea
A(Vi)=A+(Vi)A-(Vi). Oiae? Liio=(l1,l2,..,lr) IOAe i-ai eiiiiiaioo ViV
aoaeaii aaaaeaoe caaeaiei, lp Li io lp=1, aea r=A+(Vi),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, Vi — i-ee
eiiiiiaio OeI,Vi 1. Iiooe i?aeiiiaeeie (iaeaeeae/eo) aioo??oi?o EO
(iicia/eiiei ?o ye ESE,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), a oaeiae
cia/aiue a?aeiia?aeieo oanoiaeo neaiae?a, iiaea/a yeeo a a?aeiia?aei?
(ES) EO caaacia/o? anoaiiaeaiiy aaeoi?o Liio. *an onoaiiaee i(t) aaeoi?o
Lioi a iniiaiiio aecia/a? nooi?iue aeaeiiiiceoe?? ia’?eoo aeine?aeaeaiiy
? iaiaaeaiee cia/aiiyi t?ic aeey cacia/aiiai eeano noai iieiiiiiaioiiai
ae?aaiinooaaiiy.

A e c i a / a i i y. I?ae nooiaiai aeaeiiiiceoe?? ia’?eoo aoaeaii
?icoi?oe iiiaeeio eiiiiiaio?a ?icaeooy a?aoa G, aeey yeeo oanooaaiiy
aeeiio?oueny iacaeaaeii iaeei a?ae iaeiiai, a oaeiae ni?aaaaeeeai, ui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, aea(Vi, Vj) V, a Vi Vj =, ij. Oiae?, /an tik ?aae?caoe??
i?ia?aie oanoiaiai eiio?ieth eiiiiiaioo ViV, c o?aooaaiiyi
oaiia?aoo?iiai ?aaeeio iaaaaeaiiy neaiae?a, iiaeia aecia/eoe, ye ti k =
t?ic — i(t).

A e c i a / a i i y. I?ae aeiaaeeiith zi eiiiiiaioo Vi V aoaeaii
?icoi?oe oaea /enei ca’ycaieo i?ae niaith aeaiaio?a i?aeiiiaeeie iVi*,
aea
i=Vpppicscalex100010009000003f600000003001500000000000500000009020000000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, a
oaeiae Vp(Vqi)(A-(Vp)A+(Vq)), pq, a q1,zi (aeiyoie neeaaeathoue aeaiaioe
Vzi i, aeey yeeo A-(Vzi) A+(Vi*), aea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), i?e
yeiio /an ianoaiiae aaeoi?o Lioi iaeneiaeueiee. Oiae?, /an i(t)
aecia/eoueny, ye
i(t)picscalex1000100090000039c010000020015000000000005000000090200000000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, aea p — /an cao?eiee neaiaeo p-ai aeaiaioo i?aeiiiaeeie i;
zi- aeiaaeeia eiiiiiaioo Vi, a kp — /enei ?iioeuen?a, ui iiaeathoueny ia
ao?ae p-ai aeaiaioo. Oiae?, ciath/e /an i ?aae?caoe?? iaeiiai oanoiaiai
aaeoi?o eiiiiiaioo Vi, ciaoiaeeii /enei (i) oanoiaeo aaeoi??a, ui
iiaeooue aooe iiaeai? ca /an tik , ye i=tik/i.

A e c i a / a i i y. Iacaaii ae?ac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 iieacieeii nooiaiy oanoi-
i?eaeaoiino? eiiiiiaioo ViV, aea Ti — iiiaeeia oanoiaeo aaeoi??a
eiiiiiaioo Vi.

Ia’?eo aoaeaii aaaaeaoe iiai?noth oanoii?eaeaoiei, noiniaii
nenoai iieiiiiiaioiiai ae?aaiinooaaiiy (NIAe), yeui i?e caaeaiiio
cia/aii? aeeiio?oueny oiiaa ViVi 1. A aeiaaeeo, eiee 1 iaiao?aeii
canoiniaoaaoe iaoiaee eiio?ieai?eaeaoiiai i?iaeooaaiiy. I?aaiaiiy aei
ciaioaiiy caaaeueiiai /ano oanoiaiai eiio?ieth ia’?eoo i?eionea? oaeee
aa??aio oi?ioaaiiy eiiiiiaioii? no?oeoo?e, i?e yeiio ae?ac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 1 ?
aeeiio?oueny aeey aoaeue-yei? aeae?eaii? i?aeiiiaeeie aeaiaio?a ia’?eoo.
?ic?iaeaii ocaaaeueiaiee aeai?eoi oi?ioaaiiy eiiiiiaioii? no?oeoo?e
ia’?eoo i?e caaeai?e neeaaeiino? eiiiiiaio?a, ui ia iiaeiia
ia?aaeuoaaoe, iai?eeeaae, cia/aiiy (caaeaia iaiaaeaiiy ia
oanoii?eaeaoi?noue). Aaaaeaiiy ooo/ieo eaiae?a ia?aaea/? oanoiai?
?ioi?iaoe?? a no?oeoo?o ia’?eoo aeine?aeaeaiiy ia /an i?iaaaeaiiy
ae?aaiinoe/iiai aenia?eiaioo (AeA) aeicaiey? aeei?enoaoe iniaeeaino?
o?ce/ieo i?ioean?a, ui iiaeooue i?io?eaoe i?e aca?iiae?? eia?/ieo
aeaiaio?a, ui neiiooiaai? iaaiei /eiii. Oeae i?aeo?ae iaea?eueo
aoaeoeaiee, eiee caieeaiiy aeayei? i?aeiiiaeeie aioo??oi?o eiio?ieueieo
oi/ie aeicaiey? oi?ioaaoe, iai?eeeaae, no?oeoo?e, ui aaia?othoue
(o?aaiaioe noai OeI, ioiieai? eiioo?aie cai?ioieo ca’yce?a), aai
ooai?th? o?aaiaioe iine?aeiaii c’?aeiaieo aeaiaio?a o?eueee ia ia??iae
i?iaaaeaiiy oanoiaiai eiio?ieth ia’?eoo aeine?aeaeaiiy. A ?iaio?
cai?iiiiiaai? ??ci? aeai?eoie oi?ioaaiiy ooo/ieo no?oeoo?, ui
aaia?othoue, ai i?ioean aaia?aoe?? a eieao OeI iiaeia aeeeeeaoe aeaiia
niiniaaie: c aeei?enoaiiyi aaoaeiaaiiai aaia?aoi?a a caniaao
ae?aaiinooaaiiy, a oaeiae i?aai?caoe??th i?ioeano oi?ioaaiiy
iine?aeiaiino? ?iioeuen?a a ooo/ii neiiooiaaieo aeaiaioao OeI.
I?iaiae?ciaaii iniaeeaino? ooieoe?iioaaiiy cacia/aieo ooo/ieo no?oeoo?
eiiiiiaio?a.

*aoaa?oee ?icae?e i?enay/aii ?ic?iaoe? i?ia?aiii-aia?aoieo cania?a
iieiiiiiaioiiai oanoiaiai eiio?ieth. ?ic?iaeaii aeai?eoi aiae?co
oanoii?eaeaoiino? eiiiiiaioii? no?oeoo?e oeeo?iaiai ia’?eoo, ui a?aoiao?
oiiieia?/i? iniaeeaino? aeeth/aiiy eiaeiiai aeaiaioo i?eno?ith, ui
aeine?ae- aeo?oueny a no?oeoo?? ia’?eoo (aocee ?icaaeoaeaiiy, eiioo?e
cai?ioi?o ca’yce?a). Ia i?aenoaa? i?iaaaeaiiai aiae?co oanoii?eaeaoiino?
no?oeoo?e ia’?eoo aeine?aeaeaiiy ?icaeyioo? iaoiaee aaaaeaiiy aia?aoii?
iaaeeeoeiaino? c iaoith i?aeaeuaiiy eiio- ?ieai?eaeaoiino? oeeo?iaeo
ia’?eo?a canoiniaii aeey nenoai iieiiiiiaioiiai ae?aaiinooaaiiy. A
?iaio? iaa?oioiaaii aea?? no?oeoo?ii? noaie NIAe c o?aooaai- iyi
?ic?iaeaieo a aeai?e aeena?oaoe?ei?e ?iaio? aeai?eoi?a ? iaoiaeee, ui
aeicaieeoue ca ?aooiie ?aeiio?ao?aoe?? no?oeoo?e ia’?eoo aeine?aeaeaiiy
(oeyoii eiiooaoe?? aioo??oi?o eiio?ieueieo oi/ie) oi?ioaaoe ooo/i?
o?aaiaioe noai, ui ni?i- uothoue ? i?enei?ththoue i?ioean oanoiaiai
eiio?ieth. ??oaiiy caaea/? i?iaeooaaiiy NIAe aeiaaa? ?oe ia eiii?ii?n
i?ae a?aeiieie iaoiaeaie i?iaeooaaiiy neeaaeieo ia’?eo?a ? aeina?aeii
?ic?iaieea nenoai oanoiaiai iiooeo aeaoaeo?a. ?ic?iaeaia i?ia?aiia ?
aia?aoia i?aeo?eiea nenoai iieiiiiiaioiiai ae?aaiinooaaiiy ni?eueii c
aaea ?nioth/eie iaoiaeeeaie oanoiaiai eiio?ieth OeI i?aeaeuo?
aoaeoeai?noue NIAe ca ?aooiie cae?eniaiiy aiae?co oiiieia?? ia’?eoo
aeine?aeaeaiiy ? aeai?o ?aoe?i- iaeueieo no?aoaa?e ae?aaiinooaaiiy
??cieo oeeo?iaeo i?eno?i?a. I?iaaaeaii ii??a- iyeueio ioe?ieo
aoaeoeaiino? canoinoaaiiy iaoiae?a aioo??oiueinoaiiiai oanoiaiai
eiio?ieth oeeo?iaeo i?eno?i?a c aeei?enoaiiyi i??i?eoaoii? ooieoe??:
iiaeaiaioiiai, iio?aaiaioiiai e oaeiai, ui aaco?oueny ia ?aeiio?ao?aoe??
no?oeoo?e ia’?eoo aeine?aeaeaiiy. I?iaaaeaii ioe?ieo aoaeoeaiino? NIAe
oeeo?iaeo i?eno?i?a. Ioe?iaii oae? aaaeeea? ia?aiao?e nenoai
iieiiiiiaioiiai ae?aaiinoo- aaiiy, ye? aacothoueny ia aeei?enoaii?
iaoiae?a e aeai?eoi?a, ui ?ic?iaeai? a oe?e aeena?oaoe?ei?e ?iaio?, ye
aeeaeia iiooeo aeaoaeo?a oa caaaeueiee /an ?aae?caoe?? i?ia?aie
oanoiaiai eiio?ieth oeeo?iaiai i?eno?ith.

AENIIAEE

Noeoii?noue ?acoeueoao?a aeine?aeaeaiue, ui i?eaaaeai? a
?iaio?, aeicaiey? oaeineiiaeeoe iaoiae iieiiiiiaioiiai ae?aaiinooaaiiy.
?acoeueoaoe, ui io?eiai? o aeena?oaoe?ei?e ?iaio?, ? aaaeeeaei
eaioethaii eieaeueieo ia?aae aio/eiai aaoiiaoeciaaiiai ae?aaiinooaaiiy
oeeo?iaeo i?eno?i?a, a yeeo aeeiio?oueny aea?? iioeiaeueieo no?aoaa?e,
iaoiae?a oa cania?a ae?aaiinooaaiiy a caeaaeiino? a?ae no?oeoo?e ia’?eoo
aeine?aeaeaiiy, oiiieia?? aeeth/aiiy eiai aeaiaio?a, iaoe
ae?aaiinooaaiiy oa ?ioeo oaeoi??a. Oea ia? aaeeea i?aeoe/ia cia/aiiy e
aeicaiey? ?ica’ycoaaoe aeooaeueio aeey aeiiii?ee Oe?a?ie caaea/o aeioneo
aenieiye?nieo ?aae?iaeaeo?iiieo ae?ia?a. Cai?iiiiiaai? aeai?eoie, ui
?aae?cothoue iaoiaee, ye? ?ic?iaeaii a ?iaio?, iiaeooue aooe aeei?enoai?
a ?iaeaia?i?e i?aeoeoe?, ye aeey ?ica’yceo caaea/ ae?aaiinooaaiiy
oeeo?iaeo i?eno?i?a, oae ? aeey i?iaiicoaaiiy ?o ?acoeueoao?a.
Cai?iiiiiaai? no?oeoo?i? noaie nenoaie iieiiiiiaioiiai ae?aaiinooaaiiy
oa aeieo eiio?ieth oeeo?iaeo ?ioaa?aeueieo noai aeathoue iiaeee- a?noue
i?aeoe/ii ?aae?coaaoe nenoaie ae?aaiinooaaiiy, ui i???ioiaai? ia
aeei?enoaiiy ?ic?iaeaieo iaoiae?a.

A aeena?oaoe?ei?e ?iaio? io?eiai? oae? iaoeia? oa i?aeoe/i?
?acoeueoaoe:

1. Ia iniiai aiaeico no/anieo oaoiieiaie aeaioiaeaiiy aeaiaioia
oeeo?iaeo i?eno?i?a ?ic?iaeaii iaoiaeeeo aacaeaoaeoiiai iaaaaeaiiy
oanoiaeo neaiaeia o aioo?ioii eiio?ieueii oi/ee ia’?eoia aeineiaeaeaiiy
c o?aooaaiiyi oaieioice/ieo ia?aiao?ia iiaea/i oanoiaeo aaeoi?ia, a
oaeiae /aniaiai oaeoi?a. Cai?iiiiiaaii iaoaiaoe/io iiaeaeue iieno
i?ioeano iineiaeiaiiai oanooaaiiy eiiiiiaioieo no?oeoo? oeeo?iaeo
ia’?eoia, ui ? iniiaith ?ic?iaee iiaeo oa oaeineiiaeaiiy a?aeiieo
iaoiaeee iieiiiiiaioiiai ae?aaiinooaaiiy OeI. A?aecia/aia iiaeaeue iiaea
aooe aeei?enoaia aeey aeaiaio?a ??cieo oaoiieia?e aeaioiaeaiiy. I?e
oeueiio iiaeoiaei niioacothoueny iiiiiaeueii eiiiiiaioi no?oeoo?e
ia’?eoia aeiaaiinooaaiiy c o?aooaaiiyi caaacia/aiiy aaeoi?ia

aeaeo?e/iiai caoenoo aeaiaioia (a oaeiae aac ieo).

2. Cai?iiiiiaaii iaoiae ei?aeoei? i?ia?ai oanoiaiai eiio?ieth
eiiiiiaioia c iaoith iioiiicaoei? i?ioeano aacaeaoaeoiiai
aeiaaiinooaaiiy ii /ano. Oaeee iiaeoiae ia?aaeaa/a? oii?yaeeiaoaaiiy
aaeoi?ia-?yaeeia iao?eoe? eiiiiiaioia, yeee ciaioo? /enei neooaoeie, ui
i?eioneathoue aeiooaii inoaiiae i?ioeano oanoiaiai eiio?ieth i aiaeico
?o oaieioice/ieo ia?aiao?ia. Aiae?c iieacaa, ui aeei?enoaiiy iaoiaeeee,
yeo ?ic?iaeaii, aeicaieeoue ca?eueoeoe aeeaeio iiooeo aeaoaeo?a
oeeo?iaeo i?eno?i?a, a oaeiae nei?ioeoe caaaeueiee /an ?aae?caoe??
i?ia?ai oanoiaiai eiio?ieth a 1,15 – 1,5 ?ac.

3. ?ic?iaeaii iiaeeoieiaaiee -aeai?eoi c iaoith ooai?aiiy eiiiiiaioii?
no?oeoo?e oeeo?iaiai i?eno?ith ia iniiai aiaeiioaee onoaiiai/ieo
aaeoi?ia. I?e oeueiio aacaeaoaeoiinoue i?ioeano eiio?ieth aeinyaa?oueny
ca ?aooiie iiaea/i o aioo?ioii aocee ia’?eoo aeineiaeaeaiiy
niaoeiaeueieo neaiaeia onoaiiai/iiai aaeoi?o, ui caaacia/o? aeeiaii/io
?aaeicaoeith oanoiaeo aaeoi?ia ia aoiaeao ia’?eoo, yeee ia?aai?y?oueny.
I?ioe??//y iiaea/i oaeeo aaeoi?ia onoaiiai/iiai iaai?o iaoiiaeth?
ia?aai?eo aeaiiai aeaiaioo a neeaaei iioiai o?aaiaioo. ?ic?iaeaiee
iiaeeo?eiaaiee -aeai?eoi aeicaiey? aecia/aoe ii?o eiio?ieai?e aeaoiinoi
oeeo?iaeo ia’?eoia noiniaii nenoai iieiiiiiaioiiai aeiaaiinooaaiiy.

4. C iaoith ni?iuaiiy i i?enei?aiiy i?ioeania oanoiaiai iiooeo iinoey
aeaoaeoia cai?iiiiiaaii iaoiae ?aeiio?ao?aoe?? no?oeoo?e oeeo?iaeo
ia’?eoia ia /an i?iaaaeaiiy ae?aaiinoe/iiai aenia?eiaioo. Oaeee iiaeoiae
i?eionea? aiaeic oiiieiai? aeeth/aiiy aeaiaioia eiaeii? noaie, ui
aeineiaeaeo?oueny, i aaaaeaiiy oieueee ia /an aeiaaiinooaaiiy ia’?eoo
aeineiaeaeaiiy aeiaeaoeiaeo ooo/ieo eaiaeia ia?aaea/i oanoiai?
iioi?iaoei? iiae aioo?ioiiie eiio?ieueieie oi/eaie oeeo?iaeo i?eno?i?a.
Cacia/aia ?aeiio?ao?aoe?y oeeo?iaeo ia’?eoia aeicaiey? oi?ioaaoe ooo/ii
o?aaiaioe noai, ui ni?iuo? aia?aoii aeo?aoe caniaia aeiaaiin- ooaaiiy i
i?enei?th? i?eeiyooy ?ioaiiy a i?ioeani oanoiaiai eiio?ieth oeeo?iaiai
i?eno?ith.

5. Ia iiaenoaai cai?iiiiiaaieo aeai?eoiia i iaoiae?a ?ic?iaeaii aeai?eoi
aiaeico no?oeoo?e ia’?eoo aeineiaeaeaiiy, ui aeicaieeoue c o?aooaaiiyi
neeaaeiinoi ?aaeicaoei? aacaeaoaeoiiai oanoiaiai eiio?ieth oeeo?iaiai
ia’?eoo caaacia/eoe ?ic?iaeo eiio?ieai?eaeaoieo ia’?eoia noiniaaii
nenoai iieiiiiiaioiiai aeiaaiinooaaiiy.

6. Cai?iiiiiaaii no?oeoo?i? noaie nenoai iieiiiiiaioiiai ae?aaiinooaaiiy
oa aeieo eiio?ieth oeeo?iaeo ?ioaa?aeueieo noai, ye? aeathoue
iiaeeea?noue i?aeoe/ii ?aae?coaaoe nenoaie ae?aaiinooaaiiy, ui
i???ioiaai? ia aeei?enoaiiy cai?iiiiiaaieo iaoiae?a e aeai?eoi?a.

7. ?ic?iaeaii i?ia?aiii caniae nenoai oanoiaiai eiio?ieth: i?ia?aia, ui
?aae?co? aeai?eoi oii?yaeeoaaiiy aaeoi??a-?yaee?a oanoiaeo iao?eoeue;
i?ia?aia, ui ?aae?co? iiaeeo?eiaaiee -aeai?eoi c o?aooaaiiyi oaeoi?o
/ano; i?ia?aia, ui aiae?co? no?oeoo?o ia’?eoo aeine?aeaeaiiy. Oea
aeicaiey? noai?eoe ?ino?oiaio, yeee iiaeeeai oe?iei aeei?enoiaoaaoe a
?iaeaia?i?e i?aeoeoe?.

8. Cai?iiiiiaaii caniae ai?iaaaeaeaii ia iaoeiai-ae?iaie/iio eiiieaen?
“I?eeaaeiaoae?aiee caaiae”, ui aeicaieeei i?aeaeueoe ??aaiue yeino?
?aae?iaeaeo?iiieo ae?ia?a, ye? aeioneathoueny i?aei?e?ioaii, a oaeiae
ni?inoeoe ?aiiioi-a?aeeaaei/i? ?iaioe ianeoaiaoth/ei ia?niiaeii a oiiaao
?o na??eiiai oa ianiaiai ae?iaieoeoaa.

NIENIE IIOAE?EIAAIEO AAOI?II I?AOeUe CA OAIITH AeENA?OAOe??

1. Ia?aaici?eia N.?., Naa/oe O.I., Caoa?/aiei N.I., Iinea?ia N.I.
Iaoiaeeea aeaeiiiiceoe?? oeeo?iaeo ia’?eo?a c o?aooaaiiyi oaeoi?o /ano
aeey nenoai iieiiiiiaioiiai ae?aaiinooaaiiy// A?niee AI?. – 1997. — ?1.
– N.46-50.

Aeena?oaioii ?ic?iaeaii aeai?eoi oi?ioaaiiy eiiiiiaioii? no?oeoo?e
ia’?eoo aeine?aeaeaiiy c o?aooaaiiyi oaeoi?o /ano aeey
?ioi?iaoe?eii-aei??thaaeueieo nenoai iieiiiiiaioiiai ae?aaiinooaaiiy.

2. THoei/oe N.A., Ia?aaici?eia N.?., Naa/oe O.I. Iaoiaee aaeaioaoe??
i?ia?ai oanoiaiai eiio?ieth a nenoaiao iieiiiiiaioiiai
ae?aaiinooaaiiy//A?niee AI?. – 1997. — ?3. – N.48-51.

Ia iniia? aiae?co iniaeeainoae oanoiaeo iao?eoeue eiiiiiaio?a,
aeena?oaioii ?ic?iaeaii aeai?eoi ei?aeoe?? oanoiaeo iao?eoeue eiio?ieth
eiiiiiaio?a noai.

3. Ia?aaici?eia N.?., Naa/oe O.I., Ea?a/ ?.TH. Iniaeeaino? aeei?enoaiiy
iaoiaeo iieiiiiiaioiiai ae?aaiinooaaiiy//Aei??thaaeueia oa
ia/enethaaeueia oaoi?ea a

oaoiieia?/ieo i?ioeanao. – 1998. — ?1(3) – N.116-120.

Aeena?oaioii ?ic?iaeaii iaoiae oi?ioaaiiy i?i?iaeueieo eiiiiiaioieo
no?oeoo? c o?aooaaiiyi oaeoi?o /ano oa aeai?eoi oi?ioaaiiy aaia?oth/eo
no?oeoo? oeeo?iaiai i?eno?ith, i?iaaaeaii ii??aiyeueiee aiae?c no?aoaa?e
oanoiaiai eiio?ieth a?aeiinii caaaeueiiai /ano i?ioeaaeo?
ae?aaiinooaaiiy.

4. Naa/oe O.A., Ao?ooaei A.A., Aoiiei A.A. Aiaeec ?aaeeiia
ooieoeeiie?iaaiey o?aicenoi?ia//O?oaeu 3-ae iaaeaeoia?iaeiie
iao/ii-oaoie/aneie eiioa?aioeee “Eiio?ieue e oi?aaeaiea a oaoie/aneeo
nenoaiao”. — Aeiieoea. — 1995. – N.417.

Aeena?oaioii cai?iiiiiaaii oaieio?ce/io iiaeaeue iaaaaeaiiy i?eioniaiai
neaiaeo.

5. Ia?aaicieeia N.E., Naa/oe O.A. Iaania/aiea aacaeaoaeoiiai
oanoe?iaaiey oeeo?iauo noai//O?oaeu 3-ae iaaeaeoia?iaeiie
iao/ii-oaoie/aneie eiioa?aioeee “Eiio?ieue e oi?aaeaiea a oaoie/aneeo
nenoaiao”. — Aeiieoea. — 1995. – N.196.

Aeena?oaioii aecia/aii oiiae aacaeaoaeoiiai oanooaaiiy oeeo?iaeo
i?eno?i?a, a oaeiae iaeneiaeueiee /an iaaaaeaiiy neaiaeo o i?eioniaiio
?aaeei?.

6. Ia?aaicieeia N.E., Naa/oe O.A. Aiaeec iiaeaeae ia?ac?ooathuaai
eiio?iey oeeo?iauo noai//O?oaeu iao/ii–oaoie/aneie eiioa?aioeee n
iaaeaeoia?iaeiui o/anoeai “I?eai?ino?iaiea-96”. – Aeiieoea-Noaeae. —
1996. – N.21.

Aeena?oaioii aecia/aii no?aoaa?th ae?aaiinooaaiiy oeeo?iaeo i?eno?i?a,
a?aoiaoth/e neeaaei?noue caaacia/aiiy aaeoi?o ii/aoeiaeo oiia
ae?aaiinooaaiiy eiiiiiaio?a.

7. Ia?aaicieeia N.E., Naa/oe O.A. No?oeoo?iay aaeaioaoeey oeeo?iauo
ono?ienoa aeey nenoai iieiiiiiaioiiai aeeaaiinoe?iaaiey//O?oaeu
iaaeaeoia?iaeiie iao/ii-oaoie/aneie eiioa?aioeee “I?eai?ino?iaiea-97”. –
Aeiieoea-Neiaec. – 1997. – N.158-162.

Aeena?oaioii ?ic?iaeaii iaoiae, ui aaco?oueny ia ?aeiio?ao?aoe??
no?oeoo?e ia’?eoo aeine?aeaeaiiy ia /an i?iaaaeaiiy ae?aaiinoe/iiai
aenia?eiaioo.

8. Naa/oe O.A. Niinia oanoiaiai eiio?iey oeeo?iauo ono?ienoa a nenoaiao
iieiiiiiaioiiai aeeaaiinoe?iaaiey//Iaaeaeoia?iaeiue neiiiceoi “Iaoea e
i?aaei?eieiaoaeuenoai”: Oac. aeiee.– Aeiieoea – Eueaia. -1997. –
N.79-80.

Naa/oe O.I. Iaoiaee oa aeai?eoie iieiiiiiaioiiai ae?aaiinooaaiiy
oeeo?iaeo i?eno?i?a, ui aacothoueny ia ?aeiio?ao?aoe?? ?o no?oeoo?e.-
?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
oaoi?/ieo iaoeca niaoe?aeuei?noth 05.11.16 —
?ioi?iaoe?eii-aei??thaaeuei? nenoaie. — A?iieoeueeee aea?aeaaiee
oaoi?/iee oi?aa?neoao, A?iieoey, 1999.

Aeena?oaoe?eia ?iaioa i?enay/aia ieoaiiyi oaeineiiaeaiiy e
iiaeaeueoiai ?icaeoeo iaoiae?a e aeai?eoi?a aacaeaoaeoiiai eiio?ieth
oeeo?iaeo ia’?eo?a aeine?aeaeaiiy ca ?aooiie ?ic?iaee aoaeoeaieo
iaoeiieo i?ioeaaeo? iiooeo aeaoaeo?a e aia?aoieo cania?a oanooaaiiy, ui
ni?yiiaai? ia ca?eueoaiiy aeeaeie ae?aaiinooaaiiy, a oaeiae
?aeiio?ao?aoe?? no?oeoo?e ia’?eoo aeine?aeaeaiiy ia /an i?iaaaeaiiy
ae?aaiinoe/iiai aenia?eiaioo i?e iaaeiiouaii? aoi?eiieo aeaoaeo?a. A
aeena?oaoe?? ?ic?iaeaii iiaeae? i?ioeano iaiioeiaeaeoth/iai oanooaaiiy
oeeo?iaeo i?eeaae?a, a oaeiae iaoiaee oa aeai?eoie ae?aaiinooaaiiy, ui
aeicaieythoue i?enei?eoe i?ioean aacaeaoaeoiiai oanooaaiiy anueiai
oeeo?iaiai i?eno?ith. Cai?iiiiiaaii aeai?eoi aiae?co oanoii?eaeaoiino?
oeeo?iaeo i?eno?i?a. Iniiai? ?acoeueoaoe ?iaioe ciaeoee ai?iaaaeaeaiiy a
i?iaeooaaii? iiaeo oei?a oeeo?iaeo i?eno?i?a ?c iie?auaiiith
ni?iiiaei?noth aei ae?aaiinooaaiiy.

Eeth/ia? neiaa: oeeo?iaee i?eno??e, iieiiiiiaioia
ae?aaiinooaaiiy, aacaeaoaeoiee eiio?ieue, iaoiae, aeai?eoi,
?aeiio?ao?aoe?y no?oeoo?e ia’?eoo aeine?aeaeaiiy.

Savchuk O. A. Iethods and algorithms of component-wise diagnosing of
digital devices, which are based on reconfiguration of their structure.
— Manuscript.

Thesis on competition of a scientific degree of the candidate of
engineering science on a speciality 05.11.16-Information-measure
systems.-Vinnitsa state technical university, Vinnitsa, 1999.

Dissertation is devoted to problems of improvement both further
development of methods and algorithms of the flawiess control of digital
objects of research at the expense of development of effective machine
procedures of searching of defects, hardware of testing directed on
increase of depth of diagnosing and also reconfiguration of their
structure on time of realization diagnostic experiment with inadmitance
secondary defects. In a thesis the models of process of not destroying
testing of digital devices are developed, and also methods and
algorithms of diagnosing, which allow to speed up process of flawiess
diagnosing of all digital device. The algorithm of the test-suitable
analysis of digital devices is offered. The basic results of work have
found industrial application in designing new types of digital devices
with the improved ability to diagnosing.

Key words: the digital device, the on-component diagnosing, the
flawiess control, technique, algorithm, reconfiguration of the structure
of research object.

Naa/oe O.A. Iaoiaeu e aeai?eoiu iieiiiiiaioiiai aeeaaiinoe?iaaiey
oeeo?iauo ono?ienoa, eioi?ua iniiaaiu ia ?aeiioeao?aoeee eo no?oeoo?u.-
?oeiienue.

Aeenna?oaoeey ia nieneaiea iao/iie noaiaie eaiaeeaeaoa
oaoie/aneeo iaoe ii niaoeeaeueiinoe 05.11.16 —
Eioi?iaoeeiiii-ecia?eoaeueiua nenoaiu. — Aeiieoeeee ainoaea?noaaiiue
oaoie/aneee oieaa?neoao, Aeiieoea, 1999.

Aeenna?oaoeeiiiay ?aaioa iinayuaia aii?inai oniaa?oainoaiaaiey e
aeaeueiaeoaai ?acaeoey iaoiaeia e aeai?eoiia aacaeaoaeoiiai eiio?iey
oeeo?iauo iauaeoia enneaaeiaaiey ca n/ao ?ac?aaioee yooaeoeaiuo iaoeiiuo
i?ioeaaeo? iienea aeaoaeoia e aiia?aoiuo n?aaenoa oanoe?iaaiey,
iai?aaeaiiuo ia oaaee/aiea aeoaeiu aeeaaiinoe?iaaiey, a oaeaea
?aeiioeao?aoeee no?oeoo?u iauaeoa enneaaeiaaiey ia a?aiy i?iaaaeaiey
aeeaaiinoe/aneiai aenia?eiaioa i?e iaaeiiouaiee aoi?e/iuo aeaoaeoia. A
aeenna?oaoeee i?aaeeiaeaia iaoaiaoe/aneay iiaeaeue, eioi?ay iienuaaao
oaieioece/aneea i?ioeannu ia?ac?ooathuaai oanoe?iaaiey oeeo?iauo
ono?ienoa. N oeaeueth iioeiecaoeee i?ioeanna aeeaaiinoe?iaaiey ii
a?aiaie onoaiiaeaii, /oi a?aiy ?aaeecaoeee i?ia?aii oanoiaiai eiio?iey
anaai oeeo?iaiai ono?ienoaa iiaeao auoue oiaiueoaia ca n/ao
ii?aaeaeaiiiai oii?yaei/eaaiey aaeoi?ia oanoiauo iao?eoe eiiiiiaioia
aeeaaiinoe?oaiiai oeeo?iaiai iauaeoa. I?aaeeiaeaiue iaoiae ei??aeoeee
i?ia?aii eiio?iey eiiiiiaioia oeeo?iauo ono?ienoa iicaieyao nie?aoeoue
/enei auioaeaeaiiuo ia?eiaeia ioeaaeaeaiey oanoe?oaiuo iee?inoai. A
iniiaa iaoiaea eaaeeo iia?aoeey auaeaeaiey iiaeiiiaeanoaa niaeaniaaiiuo
oanoiauo aaeoi?ia, niaieoiiinoue eioi?uo, oaeoe/anee, ii?aaeaeyao
oanoii?eaiaeiinoue oanoiaie iao?eoeu oiai eee eiiai eiiiiiaioa
aiaeece?oaiie noaiu. A aeenna?oaoeeiiiie ?aaioa ?ac?aaioai iaoiae iienea
aaeoi?ia onoaiiai/iuo iaai?ia, ?aaeecaoeey eioi?uo iaania/eaaao
aacaeaoaeoiia iaaaaeaiea oanoiauo neaiaeia ai aioo?aiiea eiio?ieueiua
oi/ee oeeo?iaiai iauaeoa enneaaeiaaiey. A iniiaa iaoiaea eaaeeo
iiaeeoeoee?iaaiiue -aeai?eoi, oeaeueth eioi?iai yaeyaony iaoiaeaeaiea
iiaeiiiaeanoaa aeeaeaeoeo aioo?aiieo oceia oeeo?iaiai ono?ienoaa aeey
?aaeecaoeee oneiaee aacaeaoaeoiiai iaaaaeaiey oanoiauo neaiaeia ia
aoiaeu eiiiiiaioa i?iaa?yaiiai ono?ienoaa. ?ac?aaioai iaoiae
?aeiioeao?aoeee no?oeoo?u oeeo?iauo ono?ienoa ia a?aiy i?iaaaeaiey
aeeaaiinoe/aneiai aenia?eiaioa n oeaeueth oi?iuaiey e onei?aiey
i?ioeannia oanoiaiai iienea ianoa aeaoaeoa. Niaianoii n ?aaeecaoeeae
oneiaee yeaeo?e/aneie caueou yeaiaioia, i?aaeeaaaaiay iaoiaeeea
iaania/eaaao oi?ie?iaaiea eneonnoaaiiuo o?aaiaioia noai aeey oanoiauo
i?iaa?ie ono?ienoa ca n/ao aaaaeaiey aeiiieieoaeueiuo eneonnoaaiiuo
eaiaeia ia?aaea/e eioi?iaoeee. Yooaeoeaiinoue iaoiaea iieacaia ia
i?eia?a oi?ie?iaaiey aaia?e?othueo no?oeoo? a oeeo?iaii iauaeoa.
I?aaeeiaeai aeai?eoi aiaeeca oanoii?eaiaeiinoe eiiiiiaoiuo no?oeoo?
oeeo?iauo ono?ienoa, eioi?ue iicaieyao ia iniiaaiee aiaeeca neiaeiinoe
?aaeecaoeee aacaeaoaeoiiai oanoiaiai eiio?iey oeeo?iauo ono?ienoa
i?eieiaoue ?aoaiea i i?eiaiaiee a eaaeaeii eiie?aoiii neo/aa iaeaieaa
yooaeoeaiiai iaoiaea iieiiiiiaioiiai aeeaaiinoe?iaaiey ioiineoaeueii
nenoai ?anniao?eaaaiiai eeanna. Iniiaiua ?acoeueoaou ?aaiou iaoee
i?eiaiaiea a i?iaeoe?iaaiee iiauo oeiia oeeo?iauo ono?ienoa n oeo/oaiiie
niiniaiinoueth e aeeaaiinoe?iaaieth.

Eeth/aaua neiaa: oeeo?iaia ono?ienoai, iieiiiiiaioiia
aeeaaiinoe?iaaiea, aacaeaoaeoiue eiio?ieue, iaoiaeeea, aeai?eoi,
?aeiioeao?aoeey no?oeoo?u iauaeoa enneaaeiaaiey.

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