OA?NIINUeEEE AeA?AEAAIEE OAOI?*IEE OI?AA?NEOAO

Ii?aoiiaa Oaoyia ?aai?aia

OAeE 681.32.06

Iiaeae? oa aeai?eoie eiiieaeoaoe?? a nenoaiao

c aaaaoiaa??aioieie oaoiieia?yie

Niaoe?aeuei?noue 05.13.06 — Aaoiiaoeciaai? nenoaie oi?aae?iiy

oa i?ia?aneai? ?ioi?iaoe?ei? oaoiieia??

A A O I ? A O A ? A O

aeena?oaoe?? ia caeiaoooy iaoeiaiai

nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe

Oa?nii 1998

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia a Oa?niinueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?

Iaoeiaee ea??aiee eaiaeeaeao oaoi?/ieo iaoe, aeioeaio

?iaaeuenueeee O?aioe Ai?eniae/,

Oa?niinueeee aea?aeaaiee oaoi?/iee oi?aa?neoao,

caa. eaoaae?ith ?ioi?iaoeee oa ia/enethaaeueii? oaoi?ee

Iaoeiaee eiinoeueoaio eaiaeeaeao aeiiii?/ieo iaoe, i?ioani?

O?oo Aieiaeeie? ?aaeieeiiae/,

Oa?niinueeee aea?aeaaiee oaoi?/iee oi?aa?neoao,

caa. eaoaae?ith iae?eo oa aoaeeoo

Io?oe?ei? iiiiaioe:

– aeieoi? oaoi?/ieo iaoe, i?ioani? Iao?ia Aaeoa?ae Aai?a?eiae/,
Oa?e?anueeee aea?aeaaiee oaoi?/iee oi?aa?neoao ?aae?iaeaeo?ii?ee,
caa?aeoaa/ eaoaae?e nenoaiioaoi?ee

– eaiaeeaeao oaoi?/ieo iaoe, aeioeaio Oa?nothe Aieiaeeie? A?eai?iae/,
Oa?niinueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, eaoaae?a i?ia?aiiiai
caaacia/aiiy AII.

I?ia?aeia onoaiiaa:

Aea?aeaaiee aa?ieini?/iee oi?aa?neoao ?i. I.?. AEoeianueeiai “OA?”

Caoeno a?aeaoaeaoueny “15” n?/iy 1999 ?. i 13 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee E 67.052.01 i?e Oa?niinueeiio aea?aeaaiiio
oaoi?/iiio oi?aa?neoao? ca aae?anith, Oa?nii, Aa?eneaanueea oina, 24

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Oa?niinueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ca aae?anith: i. Oa?nii,
Aa?eneaanueea oina, 24.

Aaoi?aoa?ao ?ic?neaiee __________ 1998 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Eino?i A.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Oaiaeaioe?? ia?aoiaeo aei “iino?iaeono??aeueiiai noni?euenoaa”
aeicaieythoue iii?oeoe a i?iieneiaino? ae?iaieoeoaa i?aaeiao?a aaeeoeo
ia?inoee ia?aoiaeo a?ae ianiaiai ae?iaieoeoaa aei ?iaeea?aeoae?ciaaieo
caiiaeaiue, aea ia iniia? aenieeo oaoiieia?e. a iiaeo oiiaao aacia?a?ai?
? aeineoue ?noioi? ci?ie a iio?aaao ee??io?a (caiiaiee?a, niiaeeaa/?a
i?iaeoeoe??) ? aeeeeeai? oeei iiaeeo?eaoe?? oaoiieia?e ae?iaieoeoaa
noathoue cae/aeiei yaeuai, ioaea, i?aei?e?inoaa, i?aaio/e aeaeeoe ?
caa?aaoe eiieo?aioicaeaoi?noue, ciooai? aacia?a?aii ia?aaoaeiaoaaoe
oaoiieia??, ae?iaieoeoai, no?aoaa?th ? oaeoeeo. Oiio iaaoaathoue
aaaeeeaiai cia/aiiy ieoaiiy ooieoe?iioaaiiy, aeei?enoaiiy ?ioi?iaoe?eieo
oaoiieia?e ia i?aei?e?inoaao c aaaaoiaa??aioieie noaiaie ae?iaieoeoaa,
aaaaoiaa??aioieie oaoiieia?/ieie e?i?yie, neeaaeaeueieie eiiaa??aie, ui
aeicaieyoue caaacia/oaaoe oia?aaeaeoth/a caaeiaieaiiy ??ciiiai?oieo ?
c?inoath/eo iio?aa ee??io?a. Ana oea ? aeeeeea? iaiao?aei?noue ?ic?iaee
?yaeo oai?aoe/ieo iieiaeaiue, ?ic?iaee iiaeo iaoiae?a, iiaeaeae,
aeai?eoi?a, i?ia?ai, iiaeo ?ioi?iaoe?eieo oaoiieia?e.

Iaoa aeine?aeaeaiue. Iaoith aeaiiai aeena?oaoe?eiiai aeine?aeaeaiiy ?
aeiii?aoethaaiiy aeaiaio?a i?eeeaaeii? oai??? ? i?iaeaiii-i???ioiaaiiai
?ino?oiaioa??th iiaeaethaaiiy caaea/ eiiieaeoaoe?? ae?iaie/eo nenoai
(AN) c aaaaoiaa??aioieie noaiaie ae?iaieoeoaa o aeaeyae? iaoaiaoe/ieo
iaoiae?a, iiaeaeae, aeai?eoi?a, i?ia?ai, ?ioi?iaoe?eieo oaoiieia?e, ui
aeiioneathoue ioe?ieo aaee/eie iiaeeo?eaoe?e ieaiiaeo caaaeaiue
eiiieaeooth/eo. Oe? aeaiaioe oai??? ? ?ino?oiaioa??e i???ioiaai? ia
?ica’ycaiiy caaea/ iieno iiiaeeie aeiionoeieo aa??aio?a eiiieaeoaoe??
ae?ia?a, i?eeiyooy ??oaiue c ieoaiue ?ano?n?a ia iniia? i?iaiicieo
ioe?iie, i?eeiyooy ??oaiue c aeei?enoaiiyi aeaiaio?a ooo/iiai ?ioaeaeoo,
?ic?iaee no?eeeo aeai?eoi?a i?eeiyooy ??oaiue.

Caaea/? iaoeiaiai aeine?aeaeaiiy. Iinoaaeaia iaoa aecia/eea ianooii?
caaea/?: aeine?aeaeaiiy cania?a iieno iiiaeeie aa??aio?a eiiieaeoaoe??
ae?ia?a; ?ic?iaeo iaoaiaoe/ieo iiaeaeae eiiieaeoaoe?? aeey nenoai c
aaaaoiaa??aioieie oaoiieia?/ieie noaiaie; aiae?c caaea/ ? oa?aeoa?ieo
iniaeeainoae oe?eueiaeo ooieoe?e oaoi?ei-aeiiii?/iiai ieaioaaiiy (OAI);
?ic?iaeo i?ioeaaeo? i?eeiyooy ??oaiue aeey caaea/ eiiieaeoaoe??;
?ic?iaeo aaaaoiaa??aioieo iiaeaeae eiiieaeoaoe?? c oe?ieeie
iiaeeeainoyie ia?aeiiieaeoaoe??; ?ic?iaeo i?ioeaaeo? i?eeiyooy ??oaiue
i?e ieaioaaii? ?ano?n?a ia iniia? i?iaiicieo ioe?iie; ai?iaaoe?th
?ic?iaeaieo iaoaiaoe/ieo iiaeaeae, aeai?eoi?a ? i?ia?ai a ?ioi?iaoe?eieo
ae?iaie/eo nenoaiao ? i?aenenoaiao ANO i?aei?e?inoa.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie. Iaoa ?iaioe, ?? iniiai? caaea/?
a?aeiia?aeathoue aea?aeaaiei iaoeiai-oaoi?/iei i?ia?aiai: 6. –
?ioi?iaoeea, aaoiiaoecaoe?y ? i?eeaaeiaoaeoaaiiy. 6.2.2. – ia?niaeoeai?
?ioi?iaoe?ei? oaoiieia?? ? nenoaie. 6.2.1. – ?ioaeaeooae?caoe?y
i?ioean?a i?eeiyooy ??oaiue, a oaeiae ieaiai iaeaaaeeea?oeo
iaoeiai-oaoi?/ieo ?ia?o ii I?i?noa?noao ina?oe Oe?a?ie, I?i?noa?noao
aeiiii?ee, Oa?niinueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoaoo.

Iaoeiaa a?iioaca iieyaa? a oiio, ui nai?/aniiai ? iaa?oue
oia?aaeaeoth/iai caaeiaieaiiy iiieoo ee??io?a iiaeia aeinyaiooe,
aeei?enoiaoth/e iaoaiaoe/i? iiaeae? oa ?ioi?iaoe?ei? oaoiieia?? i?e
eiiieaeoaoe?? ae?ia?a ae?iaie/eo nenoai c aaaaoiaa??aioieie
oaoiieia?yie.

Iaoiaee aeine?aeaeaiue. Aeey ?ica’ycaiiy iinoaaeaieo caaea/ a ?iaio?
aeei?enoiaothoueny iaoaiaoe/iee aia?ao oai??? eiia??iinoae, oai???
ia/?oeeo iiiaeei, oai??? iioeiaeueiiai oi?aae?iiy, oai??? oi?iae?caoe??,
i?yi? niinoa?aaeaiiy, noaoenoe/ia iiaeaethaaiiy, caniae e?i?eiiai
i?ia?aioaaiiy.

Iaoeiaa iiaecia aeena?oaoe?eii? ?iaioe iieyaa? a ianooiiiio: 1) Ia
iniia? i?iaaaeaiiai aiae?co iniiaieo caaea/ oi?aae?iiy ? eiiieaeoaoe?? a
AN c aaaaoiaa??aioieie noaiaie ae?iaieoeoaa ? iaoiae?a ?oiueiai
iiaeaethaaiiy iieacaii, ui oe? caaea/? oi?ioeththoueny ye
aaaaoie?eoa??aeuei?, ?ica’ycothoueny a oiiaao iaaecia/aiino? iaoe,
ianoaa?eueiino? iieaciee?a nenoaie, oiia ooieoe?iioaaiiy ? ae?e
ciai?oiueiai na?aaeiaeua. 2) Aeiii?aoeueiaai? aeaiaioe i?eeeaaeii?
oai??? ? i?iaeaiii-i???ioiaaiiai ?ino?oiaioa??th iiaeaethaaiiy caaea/
eiiieaeoaoe?? ae?iaie/eo nenoai c aaaaoiaa??aioieie noaiaie ae?iaieoeoaa
o aeaeyae? iaoaiaoe/ieo iiaeaeae, aeai?eoi?a, i?ia?ai, ?ioi?iaoe?eieo
oaoiieia?e, ye? aeiioneathoue iiaeeea?noue io?eiaoe ioe?ieo aaee/eie
iiaeeo?eaoe?e ieaiiaeo caaaeaiue, aeicaieyth/eo i?iaiaeeoe ??ci? aeaee
ia?aeiiieaeoaoe??. 3) ?ic?iaeai? caniae iieno iiiaeeie aa??aio?a
eiiieaeoaoe?? ae?ia?a. 4) ?ic?iaeai? niiniae caaaeaiiy iiiaeeie
aa??aio?a eiiieaeoaoe?? ae?ia?a. 5) ?ic?iaeaii iiaeae? eiiieaeoaoe??
ae?ia?a ae?iaie/eo nenoai, aaaaoiaa??aioio iiaeaeue eiiieaeoaoe??, yea
a?ae??ciy?oueny oei, ui ia? aeiaeaoeia? iiaeeeaino? ci?ie eiiieaeoaoe??.
6) ?ic?iaeaia iiaeaeue i?eeiyooy ??oaiue a caaea/ao eiiieaeoaoe?? c
aeaiaioaie ooo/iiai ?ioaeaeoo. 7) ?ic?iaeai? i?ioeaaeo?e i?eeiyooy
??oaiue aeey caaea/ ieaioaaiiy ca noeoii?noth oaoi?ei-aeiiii?/ieo
iieaciee?a.

I?aeoe/ia oe?ii?noue ?iaioe iieyaa? a ianooiiiio: i?iaaaeai? oai?aoe/i?
aeine?aeaeaiiy noaee iniiaith aeey ?ic?iaee ?yaeo iaeao?a i?eeeaaeieo
i?ia?ai, i?aenenoai, iaoeiaeo ?aeiiaiaeaoe?e i?e ?ica’ycaii? caaea/
eiiieaeoaoe??. ?ic?iaeai? caniae, iaoaiaoe/i? iiaeae?, aeai?eoie,
?ioi?iaoe?ei? oaoiieia?? aeicaieythoue ae??ooaaoe oe?iea eiei i?iaeai
eiii’thoa?ecaoe?? caaea/ OAI AN. Aeei?enoaiiy iaoeiaeo iieiaeaiue,
?ioi?iaoe?eieo oaoiieia?e, ?aeiiaiaeaoe?e, iaoaiaoe/ieo iiaeaeae
aeicaiey? i?enei?eoe i?ioean ?ic?iaee iioeiaeueieo ieai?a, nei?ioeoe
oa?i?ie i?iaeooaaiiy, noai?thaaoe aaaaoiaa??aioi? nenoaie ieaioaaiiy,
cieceoe i?aai?caoe?ei? o?oaeiiu? i?ioeano ieaioaaiiy.

?aae?caoe?y ?acoeueoao?a ?iaioe. ?acoeueoaoe ?iaioe o aeaeyae?
i?aenenoai, iaeao?a i?eeeaaeieo i?ia?ai ai?iaaaeaeai? ia ?yae?
i?aei?e?inoa: Iiai-Eaoianeiio caaiae? “I?aaeaiaeaeo?iiao”, Oa?niinueeiio
caaiae? ea?aeaiieo aae?a, aeine?aeiiio caaiae? iaeaniiai i?aei?e?inoaa
“Iiaoo?aae?ioaoi?ea”, AO “Oa?niinuee? eiiaaeie”. Oai?aoe/i? ? i?aeoe/i?
?acoeueoaoe ?iaioe aeei?enoiaoaaeenue oaeiae i?e aeeiiaii? ?yaeo
ainiaeiaia??ieo iaoeiai-aeine?aeieo ?ia?o ia oaeoeueoao? aeiiii?ee
Oa?niinueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo. Iaoeia? iieiaeaiiy,
aeniiaee, ?aeiiaiaeaoe?? aeena?oaoe?eii? ?iaioe aeei?enoiaoaaeenue a
iaa/aeueiiio i?ioean? i?e i?aeaioiaoe? iaa/aeueieo eo?n?a “A?I
aeiiii?noa”, “Aaoiiaoecaoe?y ae?iaieoeoaa ? ANO”, “?ioi?iaoe?ei? nenoaie
a aeiiii?oe?”.

Iniaenoee aianie iiooeoaa/a. An? iieiaeaiiy, ye? aeiinyoueny ia caoeno,
iaeaaeaoue iniaenoi aaoi?o ? ia i?noyoue ?acoeueoao?a, ?aeae aai
?ic?iaie, ui iaeaaeaoue ni?aaaoi?ai, ?acii c yeeie iioae?eiaai? iaoeia?
i?aoe?.

Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe
aeiiia?aeaeeny ia nai?ia?ao ?aaee IAI Oe?a?ie c i?iaeai “E?aa?iaoeea”,
“I?eeeaaei? i?iaeaie ?ioi?iaoeee” (Oa?nii, 1993-1998?.), Ae?oai?
iaoe?iiaeueii? eiioa?aioe?? “?ioi?iaoeea: Oai??y, Oaoiieia?y, Oaoi?ea –
?OOO-95” (Iaeana, 1995 ?.), iaoeiai-i?aeoe/ii? eiioa?aioe?? c
i?aeia?iaeiith o/anoth “?aa?iiaeuei? ?ioi?iaoe?ei? ?ano?ne” (Oa?nii,
1997 ?.), i?aeia?iaeii? eiioa?aioe?? “Na?oia? ?ioi?iaoe?ei? ?ano?ne“
(ss?ai/a, 1996 ?.), i?aeia?iaeii? eiioa?aioe?? “Noai?aiiy, ?ioaa?aoe?y
aeei?enoaiiy ?ioi?iaoe?eieo ?ano?n?a ?iiiaaoe?eiiai ?icaeoeo“ (Ee?a,
1997 ?.), iaoeiai-iaoiaee/ii? eiioa?aioe?? “I?iaeaie ?aoi?ioaaiiy ina?oe
a aeueo iaa/aeueieo caeeaaeao” (Oa?nii, 1998 ?.), I?aeia?iaei?e
eiioa?aioe?? c iaoaiaoe/iiai iiaeaethaaiiy (Oa?nii, 1998 ?.).

Ioae?eaoe??. ?acoeueoaoe aeeiiaii? ?iaioe ?ice?eo? a 9 ae?oeiaaieo
?iaioao.

No?oeoo?a ? ianya ?iaioe. Aeena?oaoe?eia ?iaioa neeaaea?oueny ?c anooio,
i’yoe ?icae?e?a, aeniiae?a, i?noeoue 149 noi??iie oaenoo, nienie
e?oa?aoo?e c 215 iaeiaioaaiue, 14 iaethie?a, 14 oaaeeoeue ? aeiaeaoe?a.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaia aeooaeuei?noue ? iaiao?aei?noue ?ic?iaee
iaoaiaoe/ieo iiaeaeae, aeai?eoi?a ? i?ia?ai eiiieaeoaoe?? ae?iaie/eo
nenoai c aaaaoiaa??aioieie oaoiieia?yie, ye aeiii?aoethaaiiy aeaiaio?a
oai??? ? i?iaeaiii-i???ioiaaiiai ?ino?oiaioa??th iiaeaethaaiiy ?
i?aai?caoe?? caaea/ OAI. Noi?ioeueiaai? iaoa, caaea/?, aecia/ai? iaae?
aeine?aeaeaiue, iieacaia iaoeiaa iiaecia, i?aeoe/ia oe?ii?noue ?iaioe,
io?eiai? ?acoeueoaoe.

A ia?oiio ?icae?e? aeaii aiae?c noaio ?ia?o a iaeano? eiii’thoa?ecaoe??
caaea/ eiiieaeoaoe?? ? oi?aae?iiy ae?iaie/eo nenoai a ia?ao?aeiee
ia??iae, ?icaeyiooi ia’?eo aeine?aeaeaiue ? noai caaea/, ui
aeine?aeaeothoueny, aeeiiaii nenoaiiee aiae?c ??aiy ieaioaaiiy ?
oi?aae?iiy i?aei?e?inoaaie c aaaaoiaa??aioieie no?oeoo?aie ae?iaieoeoaa,
iaa?oioiaaii aeooaeuei?noue i?iaaaeaieo aeine?aeaeaiue, iieacaii
iaiao?aei?noue ?ic?iaee ?ino?oiaioa??y iiaeaethaaiiy ? iioei?caoe?? o
aeaeyae? iaoeiai-iaoiaeieia?/ieo iieiaeaiue, iaoaiaoe/ieo iiaeaeae,
aeai?eoi?a ? i?ia?ai.

Aeei?enoaiiy ?ioi?iaoe?eieo oaoiieia?e, iiaeaeae eiiieaeoaoe?? c
aaaaoiaa??aioieie noaiaie ae?iaieoeoaa iiaea aeicaieeoe ?aae?coaaoe
oia?aaeaeoth/a caaeiaieaiiy iio?aa niiaeeaa/?a i?iaeoeoe??.

Iaaaaeaia oa?aeoa?enoeea aeae?a ? iniaeeainoae eiiieaeoaoe?? a
ae?iaie/eo nenoaiao. Iiaeaii aiae?c cania?a iiaeaethaaiiy ? iioei?caoe??
oaoi?ei-aeiiii?/iiai ieaioaaiiy ae?iaieoeoaa. I?iaiae?ciaai? iniiai?
oeie iiaeaeae iioeiaeueiiai ieaioaaiiy. Iaea?eueo aaeaeaaoieie ?aaeueiei
i?ioeanai ? aaaaoie?eoa??aeuei? iiaeae?. Aeeiiaii oaeiae aiae?c cania?a
i?eeiyooy ??oaiue caaea/ eiiieaeoaoe??.

Noi?ioeueiaaia iaoa, iinoaaeai? caaea/? aeine?aeaeaiue, aecia/ai? iaae?
aeine?aeaeaiue.

A ae?oaiio ?icae?e? ?icaeyaeathoueny caaea/? ? iiaeae? ieaioaaiiy oa
eiiieaeoaoe??. Oea ia?aaeon?i ?ic?aooiie iioeiaeueii? ae?iaie/i?
i?ia?aie.

i?e aeio?eiaii? oiia ?ano?nieo iaiaaeaiue ? iaiaaeaiue ia iaeanoue
aeiionoeieo ??oaiue. Ooo Yi – ianya aeioneo ?-ai ae?iao, ? – ?iaeaen
i?iaeoeoe??, ui aeionea?oueny, l – i?aeiiiaeeia aeae?a ae?ia?a,
aeeth/aieo a iiiaieeaoo?o iioeiaeueii? i?ia?aie i?aei?e?inoaa.
Iaoaiaoe/ia iiaeaeue caaea/? OAI neeaaea?oueny c o?ueio no?oeoo?ieo
aeaiaio?a: oe?eueiai? aaeoi?-ooieoe??, ?ano?nieo ? ia?aiao?e/ieo
iaiaaeaiue. Oe?eueiaa aaeoi?-ooieoe?y i?noeoue ianooii? eiiiiiaioe, ui
aeicaieythoue ia’?eoeaii ioe?ieoe ye?noue i?eeiyoiai ??oaiiy ? iaea?eueo
caeaaei? a?ae oaeoi??a oi?aae?iiy:

;

;

;

;

.

aea F1(t, y) – ianya caiiaeaiiy i?iaeoeoe?? ia ieaiiaaiee ia??iae; F2(t,
y) – ianya ca?ia?oii? ieaoe ae?iaie/iai ia?niiaeo; F3(t, y) – cao?aoe ia
eiiieaeooth/? ae?iae ? iaoa??aee; F4(t, y) – i?eaooie; F5(t, y) – ianya
ii?iaoeaii /enoi? i?iaeoeoe??; ?1?.…?5? – a?aeiia?aei? ieoii? iieacieee.
Neiaie t icia/a?, ui caaea/a ?ica’yco?oueny aeey aeayeiai caaeaiiai
?ioa?aaeo /ano.

,

aea a i ? b i – ieaei?e ? aa?oi?e ianya ?-ai aeaeo ae?iao a ieaiiaaiiio
ia??iae?.

.

Iiiaeeia ?ano?nieo iaiaaeaiue caaea?oueny nenoaiith ni?aa?aeiioaiue:

aea |T| – iao?eoey eiao?oe??io?a; Q(y) – aaeoi? iaiaaeaiue (?ano?n?a);
yg,, yi – aaeoi?e iaia’yceiaeo ? aeiaeaoeiaeo aeiia.

?ano?ni? iaiaaeaiiy iiaeooue aooe caienai? o aeaeyae?:

aea tij – o?oaeii?noe?noue aeaioiaeaiiy iaeeieoe? ?-ai ae?iao ii j-io
aeaeo ?ia?o.

Aei /enea ia?oi/a?aiaeo caaea/ OAI a?aeiinyoue ?ic?aooiie ianyao
caiiaeaiue ia ieaiiaaiee ia??iae F1(t, y), ianyao ca?ia?oii? ieaoe F2(t,
y), ianyao cao?ao ia eiiieaeooth/? ae?iae F3(t, y).

C oe??th iaoith iaiao?aeii iiia?aaeiuei ?ica’ycoaaoe caaea/o
eiiieaeoaoe??, iniiaith yei? ? aecia/aiiy ianyao eiiieaeooth/eo aoce?a ?
aa?aaao?a, a?aeiia?aeieo iioeiaeueiei ieaiiaei caaaeaiiyi. ?ic?aooiie
eiiieaeoaoe?? aecia/a?oueny ianyaii aeioneo e?ioeaai? i?iaeoeoe??
i?aei?e?inoaa, ui caaeathoueny aaeoi?ii N(t). A naith /a?ao aaeoi? N(t)
aecia/a?oueny aeaiia neeaaeiaeie: Ncaae(t) – iaia’yceiai? aei aeeiiaiiy
(iaci?iii?) /anoeie aaeoi?o N(t) ? Noio(t) – iioei?co?ii? (ci?iii?)
/anoeie. Aa?aoe eiao?oe??io (nooi?iue) caaeiaieaiiy caaaeaiiy Y(t) ii
aeioneo iioei?co?ii? /anoeie e?ioeaai? i?iaeoeoe?? – ?K(t), ia?ii:
N(t)=Ncaae(t)+?E(t)?Niio(t).

Aeae? aoaeaii aaaaeaoe, ui caaea/a eiiieaeoaoe??, ye neeaaeiaa OAI
ae??oo?oueny aeey aeayeiai caaeaiiai ?ioa?aaeo /ano t. Ae?iaie/?
iiooaeiino? I i?aei?e?inoaa, ui ?icaeyaea?oueny, aecia/ai? ?
aaaaeathoueny a?aeiieie. Oaea caaea/a aeieea? ia?aaeon?i i?e OAI, i?e
iioi/iiio ieaioaaii? aai, eiee ?icaeyaeathoueny ??ciiiai?oi? aa??aioe
?icaeoeo, aai iiaea?i?caoe?? iiooaeiinoae eiiieaen?a ? aeey eiaeiiai
aa??aioo ioe?iththoueny iiaeeea? aeionee e?ioeaai? i?iaeoeoe?? ca ?iee
ieaiiaiai ia??iaeo, aai i?e ae??oaii? ieoaiiy i?i aea?? iaee?aui?
eiia?iaoe?? oaoiieia?e ae?iaieoeoaa e?ioeaai? i?iaeoeoe?? ca
caiiaeaiiyie ee??io?a. ocaaaeueiaia caaea/a eiiieaeoaoe?? noi?ioeueiaaia
o aeaeyae?:

?K(t)?iio, x(t)?G(t), x(t)={xi(t)}, i?I

, i?I iao?eoe? N(t) iieaco? aeo?aoo aeaiaio?a c nieneo caaiaenueei?
i?iaeoeoe?? i?e ae?iaieoeoa? m-ai e?ioeaaiai ae?iao, ui noai?th?oueny ii
l-?e oaoiieia?/i?e noai?, I1(t) – iiiaeeia iaci?iieo eiiiiiaio N(t),
aacoiiaieo aeey aeeiiaiiy, I2(t) – iiiaeeia iioei?co?ieo eiiiiiaio
aaeoi?a N(t), ca yeeie ?ica’yco?oueny caaea/a iioei?caoe?? ?
aecia/a?oueny aaee/eia aeioneo o aeaeyae? aaeoi?a {Niio m(t)}. Iao?eoey
ia? aeaeyae oaaeeoe?.

Iaae? iiaeeo?eaoe?? iioeiaeueiiai ?ica’yceo caaea/? eiiieaeoaoe?? i?e
i?iaaaeaii? ia (k+1)-io e?ioe? ?oa?aoe?? eiia?iiaaiiai ei?aaoaaiiy
aecia/athoueny ia??ai?noth:

O o?aoueiio ?icae?e? ?icaeyaeathoueny ioe?iee ci?ie iioeiaeueieo
?ica’yce?a, aca?iiae?? c iiaeaeyie oa aaaaoiaa??aioi? iiaeae?
eiiieaeoaoe??. Caaea/a ci?ie eiiieaeoaoe?? a?ae??ciy?oueny a?ae caaea/?
eiiieaeoaoe?? aaaaeaiiyi aeiaeaoeiaeo iiaeeeainoae ia?aeiiieaeoaoe??.
Caieoaii ?? o aeaeyae?:

Z?iio,

– e?euee?noue l-o eiiieaeooth/eo ae?ia?a; G – iaeanoue iiaeeeaeo
aeione?a i?iaeoeoe??.

, aecia/a?oueny aaeoi? N?iio=?Eiia?Niia ? aeioneo N=Ncaae+?Eiia?Niia.

aea ?m=1, yeui m?M1 ? ?m=?Kiia, yeui m?M2, Ai – iiiaeeia iiia??a
aa?o?aie a?aoa ia?aeiiieaeoaoe?? A, a yeee aoiaeyoue aeoae c i –
aa?oeie, a Ai – iiiaeeia iiia??a aa?oei a?aoa A, c yeeo a i-o aa?oeio
aoiaeyoue aeoae.

Iiaeae? eiiieaeoaoe?? aeicaieythoue cae?enithaaoe ei?aaoaaiiy ia?aiao??a
iiaeae?.

ui aecia/a? aaao aa?oeie ?.

Aeey aecia/aiiy eiia?iaoe?? aa??aio?a eiiieaeoaoe?? m-ai e?ioeaaiai
ae?iao ?ica’yco?oueny caaea/a

.

c eiaeiiai aa??aioo eiiieaeoaoe??.

aea ?i(x) – eiia??i?noue i?eeiyooy ??oaiiy fi i?e aeaiiio cia/aii? x.
I?e ?ica’ycoaaii? caaea/ iioeiaeueiiai ieaioaaiiy iaiao?aeii io?eiaoe
iioeiaeuei? cia/aiiy aeae?eueeio oe?eueiaeo ooieoe?e

F1(x), F2(x),…, Fn (x).

Caaea/a iioei?caoe?? ?icaeyaea?oueny o aeaeyae?:

; Fj (x) – iioi/ia cia/aiiy aieiaiiai e?eoa??th.

aea ?Fj(xN)= Fj(xN)–Fj(xN-1) – i?e??no j-ai e?eoa??th ia N-io e?ioe?
iiooeo; Fj(x0) – iioeiaeueia cia/aiiy j-ai e?eoa??th a oi/oe? O0.

.

Aeeiiaiiy oe??? oiiae ? iaia’yceiaith oiiaith ia?ai?uaiiy nenoaie c
aoaeue-yei? oi/ee a eiii?ii?nio.

Iiaeaeue OAI aeeth/a? iieacieee ?aioaaaeueiino?, nia?aa?oino?,
aeno?aiaeueia cia/aiiy yeeo aecia/athoueny i?e iioei?caoe??
ae?iaiai-e?i?eieo ooieoe?e. Caaea/a iiaea?oueny oaeei /eiii: ciaeoe
aeno?aiaeueia cia/aiiy

,

aea F – oe?eueiaa ooieoe?y (nia?aa?o?noue); Q1 – caaaeueia aeo?aoa a
a?ioiaiio ae?ac?; Q2 – ianya i?iaeoeoe??, ui aeionea?oueny; C? –
ae?iaie/? aeo?aoe a iaeeieoeth /ano ii j-io oaoiieia?/iiio oeeeeo i?e
caaaeaii? xi iaeeieoeue /ano ii eiaeiiio c ieo; C? – /enei iaeeieoeue
i?iaeoeoe??.

I?ioean i?eeiyooy ieaiiaeo ??oaiue iiaea?oueny iine?aeiai?noth e?ie?a:
oi?ioaaiiy iiiaeeie aeiionoeieo aeueoa?iaoeaieo aa??aio?a ieaio; aea??
iaea?eueo i?eeiyoiiai aa??aioo ei?aaoaaiiy ieaio.

.

, iiaeooue aooe aeei?enoai? aeey aeeiiaiiy ?ioeo ?ia?o.

I?i?iaeueiee /an ?ij min ii/aoeo ?iaioe Pij ? iaeneiaeueiee /an ?ij max
ii/aoeo, ui ia aeeeeea? ca?eueoaiiy /ano iiaii? ?aae?caoe?? i?ia?aie
aecia/a?oueny ni?aa?aeiioaiiyie

Iaeneiaeueii iiaeeeaee ? i?i?iaeueii aeiionoeiee ianya niiaeeaaiiy l-ai
aeaeo ?ano?no a ia??iae /ano Trs, iaiao?aeiee aeey caaa?oaiiy i?ia?aie a
iai?/aiee oa?i?i

aecia/a?oueny iaeneiaeueiee oa i?i?iaeueiee eiiieaeo ?ano?n?a aeey
?aae?caoe?? i?ia?aie a ia??iae Trs.

, aei??i?noue yeeo a i?ioean? ?iaioe iaoiaeo ca?eueoo?oueny, a oaeiae a
ia?a?ic?aooieo aeaiaio?a oeeo iao?eoeue ia iniia? aiae?co
i?aeoaa?aeaeaiiy aai a?aeoeeaiiy a?aeiia?aeii? a?iioace.

A?iioaca J i?eeia? cia/aiiy {0, 1/(n-1), 2/(n-1),…,(n-2)/(n-1),1}.
Iiiaeeia ?={?ij}={ci?aj} ?icaeaa?oueny ia (n+1) i?aeiiiaeeio. O
i?aeiiiaeeio ?0 aoiaeyoue o? aeaiaioe, aeey yeeo ioe?iea iaa?oioiaaiino?
??aia 0. A i?aeiiiaeeio ?1 aoiaeyoue aaniethoii a??ia?aei? a?iioace. A
i?aeiiiaeeio ?i/(n-1), aea i=2,3,…,n-2 aoiaeyoue a?iioace, aeey yeeo
nooi?iue iaa?oioiaaiino? aei??aith? /eneo, ??aiiio ?iaeaeno ?o
i?aeiiiaeei. I?ioeaaeo?a iiooeo caaa?oo?oueny, yeui iia? a?iioace ia
ii?iaeaeothoueny ? yeui ia a?aeaoaa?oueny iiaeeo?eaoe?y ioe?iee
iaa?oioiaaiino? ?ai?oa ciaeaeaieo a?iioac.

Oa?aeoa?iith ?enith iaoai?ci?a iiooeo ? i??eoaaiue ii aiaeia?? ? oe?iea
nieneiaa oeoia/aiiy ?acoeueoao?a i??eoaaiiue, ui caaacia/o?oueny
i?i?iaeueiith e?euee?noth iaiaaeaiue. Aieiaia i?e/eia iaiao?aeiino?
aeei?enoaiiy i?ioeaaeo?e ioe?iee ?acoeueoao?a aeniiae?a iieyaa? a
iaaeaii? iiaeeeaino? ?ioa?i?aooaaoe o?eniaaia iiaeaiiy oiai aai ?ioiai
ia’?eoo. Iniiaiith iaoith ?ioa?i?aoaoe?? aeniiae?a ii aiaeia?? ?
iaea?aeaiiy ioe?iee nooiaiy i?aaaeiiiae?aiino? eiie?aoiiai caeeth/aiiy
i?e a?aeiieo iniia? ? iineeaiiyo. Oi?iaeueiei ci?noii i?ioeaaeo?e
?ioa?i?aoaoe?? aeniiae?a i??eoaaiiy iiaeia aaaaeaoe cae?eniaiiy
ia?aoai?aiiy a??ooaeueiiai ia’?eoo A?v, oiaoi ia?ao?ae a?ae A?v aei Ai.

I’yoee ?icae?e i?enay/aiee aeeeaaeaiith ?acoeueoao?a i?aeoe/ii?
?aae?caoe?? ?ic?iaeaieo iaoiae?a ? aeai?eoi?a. Iioei?caoe?y ae?iaie/i?
i?ia?aie ia?aaeaa/a? aea?? e?eoa???a iioeiaeueiino?, neioac
aeiiii?ei-iaoaiaoe/ii? iiaeae? ? ?ic?iaeo aeai?eoio iioei?caoe??.
Iiaeaeue oi?ioaaiiy iioeiaeueii? ??/ii? ae?iaie/i? i?ia?aie aoaea iaoe
aeaeyae:

;

,

aea F1 (x,t), F2 (x,t), F3 (x,t) – a?aeiia?aeii ooieoe??, ui
oa?aeoa?ecothoue i?eaooie, ??aaiue ?aioaaaeueiino?, ianya ca?ia?oii?
ieaoe.

I?e ?ica’ycaii? caaea/? eiiieaeoaoe?? ?icaeyaea?oueny nienie
eiiieaeooth/eo ii eiaeiiio e?ioeaaiio ae?iao Ciaoiaeeoueny
ei?o?oe??io ?K:

,

Iiaeaeue eiiieaeoaoe?? ae?ia?a ?aae?ciaaia i?ia?aiii c aeei?enoaiiyi
na?aaeiaeua Delphi. Ao?aeieie aeaieie aeey iiaeae? ?: ieaiiaee
a?ae??cie, aaeoi? no?iai iaia’yceiai? (aee?aeoeaii?) e?ioeaai?
i?iaeoeoe??, aaeoi? iioei?co?ii? /anoeie e?ioeaai? i?iaeoeoe??, iao?eoey
eiiieaeoaoe??, oaoiieia?/ia iao?eoey i?aei?e?inoaa, o?iainia?
iiaeeeaino? i?aei?e?inoaa ? o.ae.

?ic?iaeai? iaeaoe i?ia?ai iiaeae? aeiaaino?ieiaiai ieaioaaiiy, iiaeae?
aenia?oii? nenoaie i?aeo?eiee i?eeiyooy i?aai?caoe?eieo ??oaiue.
Iieacai? ?acoeueoaoe aeei?enoaiiy a iaa/aeueiiio i?ioean? aeuiai
iaa/aeueiiai caeeaaeo.

?ic?iaeai? i?ia?aii? eiiieaene ai?iaaaeaeai? ia Oa?niinueeiio caaiae?
ea?aeaiieo aae?a, AO “Oa?niinuee? eiiaaeie”, Iiai-Eaoianueeiio caaiae?
“I?aaeaiaeaeo?iiao”, aeine?aeiiio caaiae? iaeaniiai ia’?aeiaiiy
“Iiaoo?aae?ioaoi?ea” (i. Oa?nii).

AENIIAEE

Aeena?oaoe?eia aeine?aeaeaiiy i?enay/aia aea/aiith, aeine?aeaeaiith ?
?ic?iaoe? iaoiae?a, iaoaiaoe/ieo iiaeaeae, aeai?eoi?a, i?ia?ai,
i?ia?aneaieo ?ioi?iaoe?eieo oaoiieia?e ?ica’ycaiiy iioei?caoe?eieo
caaea/ eiiieaeoaoe?? ? oi?aae?iiy o ae?iaie/eo nenoaiao c
aaaaoiaa??aioieie noaiaie ae?iaieoeoaa.Iai?yiie aeine?aeaeaiiy coiiaeaii
aaaeeea?noth oeeo caaea/ a no/anieo oiiaao, eiee aacia?a?ai? ? ?noioi?
iiaeeo?eaoe?? a oaoiieia?yo ae?iaieoeoaa ? iio?aaao ee??io?a noaee
cae/aeiei yaeuai ia i?aei?e?inoaao ? o??iao, ye? i?aaio/e aeaeeoe ?
caa?aaoe eiieo?aioicaeaoi?noue, ciooai? aacia?a?aii ia?aaoaeiaoaaoe nai?
ae?iaieoeoai, no?aoaa?th ? oaeoeeo.

A ?acoeueoao? ?ica’ycaiiy iinoaaeaieo caaea/ a ?iaio? io?eiai? oae?
iniiai? ?acoeueoaoe:

1) Ia iniia? i?iaaaeaiiai aiae?co iniiaieo caaea/ ieaioaaiiy ?
oi?aae?iiy a AN ? iaoiae?a ?o iiaeaethaaiiy a no/anieo oiiaao iieacaii,
ui oe? caaea/? oi?ioeththoueny ye aaaaoie??oa??aeuei?, ?ica’ycothoueny a
oiiaao iaaecia/aiino?, ianoaa?eueiino? iieaciee?a nenoaie, oiia
ooieoe?iioaaiiy ? ae?? ciai?oiueiai na?aaeiaeua.

2) ?ic?iaeai? ? aeiiiaiai? aeaiaioe i?eeeaaeii? oai??? ?
i?iaeaiii-i???ioiaaiiai ?ino?oiaioa??th iiaeaethaaiiy caaea/
eiiieaeoaoe?? ae?iaie/eo nenoai c aaaaoiaa??aioieie noaiaie ae?iaieoeoaa
o aeaeyae? iaoaiaoe/ieo iiaeaeae, aeai?eoi?a, i?ia?ai, ?ioi?iaoe?eieo
oaoiieia?e, ui aeiioneathoue ioe?ieo aaee/eie iiaeeo?eaoe?? ieaiiaeo
caaaeaiue.

3) ?ic?iaeai? caniae iieno iiiaeeie aa??aio?a eiiieaeoaoe?? ae?ia?a a
caaea/ao eiiieaeoaoe??.

4) ?ic?iaeaii iiaeae? eiiieaeoaoe?? ae?ia?a ae?iaie/eo nenoai,
aaaaoiaa??aioio iiaeaeue eiiieaeoaoe??, yea a?ae??ciy?oueny oei, ui ia?
aeiaeaoeia? iiaeeeaino? ci?ie eiiieaeoaoe??.

5) ?ic?iaeai? i?ioeaaeo?e i?eeiyooy ??oaiue i?e ieaioaaii? ca
noeoii?noth oaoi?ei-aeiiii?/ieo iieaciee?a.

6) ?ic?iaeai? i?ioeaaeo?e i?eeiyooy ??oaiue i?e ieaioaaii? ?ano?n?a ia
iniia? i?iaiicieo ioe?iie.

7) Ai?iaaoe?y ?ic?iaeaieo iaoiae?a, iaoaiaoe/ieo iiaeaeae, aeai?eoi?a ?
i?ia?ai i?aeoaa?aeaeo? ?o aoaeoeai?noue ca ?aooiie i?aeaeuaiiy
iia?aoeaiino? ? yeino? ??oaiue, ui i?eeiathoueny (ca?eueoaiiy i?eaooeo,
i?aeaeuaiiy ?aioaaaeueiino?). Aeai?eoie ?aae?ciaai? i?aeoe/ii ? ?
?iaa??aioieie ii a?aeiioaiith aei aeaeo ? yeino? ??oaiue, ui
i?eeiathoueny.

Iaoaiaoe/i? iiaeae? ? aeai?eoie ?ica’ycaiiy iioei?caoe?eieo caaea/
oaoi?ei-aeiiii?/iiai ieaioaaiiy ? ?aoe?iiaeueiiai aeei?enoaiiy
iaoa??aeueieo ?ano?n?a ai?iaaaeaeai? o aeae? iaeao?a i?eeeaaeieo
i?ia?ai. ?acoeueoaoe aeine?aeaeaiue oaeiae ciaeoee a?aeia?aaeaiiy a
iaa/aeueiiio i?ioean? Oa?niinueeiai aea?aeaaiiai oaoi?/iiai
oi?aa?neoaoo.

Aeia?aeee, aeoe oa ?io? aeieoiaioe, ui i?aeoaa?aeaeothoue
?acoeueoaoeai?noue aeena?oaoe?eii? ?iaioe iaaaaeai? a aeiaeaoeo.

?IAIOE II OAI? AeENA?OAOe??

Iniiaiee ci?no aeena?oaoe?? a?aeia?aaeaiee a ianooiieo ?iaioao:

1. Oiaeaeia A.A., Oaeiae/aiei E.A., Ii?aoiiaa O.E. O/ao
iaii?aaeaeaiiinoe a caaea/ao ieaie?iaaiey // Aanoiee OAOO – 1997, ?1,
n. 53-56.

2. Ii?aoiiaa O.E., Oaeiae/aiei E.A. Oi?iaeecaoeey i?ioeaaeo? i?eiyoey
?aoaiee a caaea/ao oaoieei-yeiiiie/aneiai ieaie?iaaiey // Aanoiee OAOO –
1997, ?2, n. 348-351.

3. Ii?aoiiaa O.E., Oaeiae/aiei E.A. Ii?aaeaeaiea iioeiaeueiie
eiiieaeoaoeee auioneaaiie i?iaeoeoeee // Aanoiee OAOO. – 1997, ?2,
n. 352 – 353

4. ?iaaeueneee O.A., Ii?aoiiaa O.E. Iiaeaee?iaaiea i?ioeanna
no?aoaae/aneiai oi?aaeaiey iiiaiaa?eaioiie i?iecaiaenoaaiiie nenoaiie //
Oeceei-oaoie/aneea i?eeiaeaiey iaoaiaoe/aneiai iiaeaee?iaaiey. Na.
iao/i. o?. / IAI Oe?aeiu. Ei-o iaoaiaoeee. – Eeaa, 1998. n. 217-220.

5. Ii?aoiiaa O. E. Aaoiiaoecaoeey iiaeaioiaee e i?eiyoey ?aoaiee // I-y
Iaoeeiiaeueiay eiioa?aioeey “Eioi?iaoeea, oai?ey, oaoiieiaey, oaoieea –
EOOO-95”. – Iaeanna, 1995, n. 59.

6. Ii?aoiiaa O.E. I?iaeaia ioe?iee iaoa??aeueieo oe?iiinoae a no/anieo
oiiaao ainiiaea?thaaiiy // Oace aeiiia?aeae eiioa?aioe?? “?icaeoie
aeiiii?/ii? iaoee a Oe?a?i? oa aeeeaaeaiiy aeiiii?/ieo aeenoeeie?i”.

– Oa?nii, 1996, n.71.

7. Ii?aoiiaa O.E. Iieacaoaee eiiiuethoa?ecaoeee o/aoa ia nia?aiaiiii
yoaia // Iaoa?eaeu iaaeaeoia?iaeiie iao/ii-i?aeoe/aneie eiioa?aioeee
“Yeiiiieea ia?aoiaeiiai ia?eiaea: i?iaeaiu e ?aoaiey”. – Oa?nii, 1996,
n.71.

8. Ii?aoiiaa O. E. Iiaeaeue i?eiyoey ?aoaiee ia iniiaa AeNI-iaoiaea //
Iao/ii-oaoie/aneay eiioa?aioeey “Eioi?iaoeeiiiua ?ano?nu ” – Oa?nii,
1997, n. 78-79.

9. O?oo A.?., Ii?aoiiaa O.?. Iae?e iia?aoe?e aeaaaeueieoeueei? ne?iaeie
ca oiia ?eieiai? aeiiii?ee // Oaoiieia?y, aaoiiaoecaoe?? oa aeiiii?ea a
ia?a?iai?e aaeoc?: Ca??iee iaoeiaeo i?aoeue / Ca caa. ?aae. E.A.*o?n?ii?
oa A.O.Nei?/aiei. – E. – ?CII, 1998, n.120-122.

AIIOAOe?ss

Ii?aoiiaa O.?. Iiaeae? oa aeai?eoie eiiieaeoaoe?? a nenoaiao c
aaaaoiaa??aioieie oaoiieia?yie.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ii niaoe?aeueiino? 05.13.06 – Aaoiiaoeciaai? nenoaie oi?aae?iiy ?
i?ia?aneai? ?ioi?iaoe?ei? oaoiieia??, Oa?niinueeee aea?aeaaiee oaoi?/iee
oi?aa?neoao, 1999?.

Cai?iiiiiaai? ? ?ic?iaeai? iaoaiaoe/i? iiaeae?, aeai?eoie ? i?ia?aie
eiiieaeoaoe?? ae?ia?a ye aeiiiaiaiiy aeaiaio?a eiino?oeoeaii? oai??? ?
i?iaeaiii-i???ioiaaiiai ?ino?oiaioa??th iiaeaethaaiiy caaea/ ieaioaaiiy
? oi?aae?iiy a ae?iaie/eo nenoaiao c aaaaoiaa??aioieie noaiaie
ae?iaieoeoaa. Aeine?aeaeai? iniaeeaino? ooieoe?iioaaiiy i?ia?aiieo
eiiieaen?a, ui ?aae?cothoue iiaeae?, aecia/ai? oa?aeoa?i? iniaeeaino?,
oiiae ia?aeiiieaeoaoe??, oiiae, ui caaacia/othoue aoaeoeaiee ?aaeei
ae?aeiaiai? ?iaioe. ?icaeyioo? ? cai?iiiiiaai? iiaeae? i?eeiyooy ??oaiue
i?e eiiieaeoaoe??.

Eeth/ia? neiaa: ieaioaaiiy, oi?aae?iiy, eiiieaeoaoe?y,
oaoi?ei-aeiiii?/ia ieaioaaiiy, aaoiiaoeciaaia nenoaia oi?aae?iiy, iniaa,
ui i?eeia? ??oaiiy, iaoaiaoe/ia iiaeaeue.

AIIIOAOeEss

Ii?aoiiaa O.E. Iiaeaee e aeai?eoiu eiiieaeoaoeee a nenoaiao n
iiiaiaa?eaioiuie oaoiieiaeyie.

Aeenna?oaoeey ia nieneaiea o/aoiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.13.06 – aaoiiaoece?iaaiiua nenoaiu oi?aaeaiey e
i?ia?anneaiua eioi?iaoeeiiiua oaoiieiaee, Oa?niineee ainoaea?noaaiiue
oaoie/aneee oieaa?neoao, 1999 a.

Ia iuiaoiai yoaia ?acaeoey iauanoaa iaiaoeeanue oaiaeaioeey ia?aoiaea e
iinoeiaeono?eaeueiiio iauanoao, aeey eioi?iai oa?aeoa?ii aeaeaeaiea io
ianniaiai i?iecaiaenoaa, ianniauo caeacia e eiaeeaeaeoaeece?iaaiiui,
auiieiyaiui ia iniiaa aunieeo oaoiieiaee. Iinoiyiiua eciaiaiey a
iio?aaiinoyo caeac/eeia e aucuaaaiua yoei eciaiaiey a oaoiieiaeyo
i?iecaiaenoaa noaiiayony iauaeoeaiui yaeaieai, iiyoiio oicyenoaaiiua
noauaeou (oe?iu, i?aaei?eyoey, aeoeeiia?iua iauanoaa e ae?.) no?aiynue
nio?aieoue eiieo?aioiniiniaiinoue, auioaeaeaiu ia?ano?aeaaoue
i?iecaiaenoai, no?aoaaeth e oaeoeeo, aiaae?youe iiiaiaa?eaioiua
oaoiieiaee. A yoie nayce aaaeiia cia/aiea i?eia?aoatho aii?inu
ooieoeeiie?iaaiey e eniieueciaaiey eioi?iaoeeiiiuo oaoiieiaee ia
i?aaei?eyoeyo n iiiaiaa?eaioiuie oaoiieiaeyie.

Iaeiie ec aaaeiaeoee iiaenenoai a ANO yaeyaony iiaenenoaia
oaoieei-yeiiiie/aneiai ieaie?iaaiey. Ionthaea aicieeatho caaeathuea
aicaeaenoaey e enoiaeiua aeaiiua aeey ae?oaeo iiaenenoai. E /eneo
ia?aii/a?aaeiuo caaea/ oaoieei-yeiiiie/aneiai ieaie?iaaiey iiaeii
ioianoe ?an/ao iauaia caeacia ia ieaie?oaiue ia?eiae, iauaia ca?aaioiie
ieaou, iauaiia cao?ao ia eiiieaeoothuea ecaeaeey e iaoa?eaeu.
Iaauiieiaiea iinoaaie eiiieaeoothueo i?eaiaeeo e n?uao auiieiaiey
ieaia-caeaca, /oi aea/ao ca niaie ia?ooaiea ii anae eeiee “eiiaaea?a
iio?aaeaiey”, eioi?ie yaeyaony ethaay nia?aiaiiay i?iecaiaenoaaiiay
nenoaia. N yoie oeaeueth iaiaoiaeeii ?aoaoue caaea/o eiiieaeoaoeee,
iniiaie eioi?ie yaeyaony ii?aaeaeaiea iauaia e iiiaieeaoo?u
eiiieaeoothueo, niioaaonoaothueo iioeiaeueiui ieaiiaui caaeaieyi. I?e
?ac?aaioea iaoaiaoe/aneie iiaeaee o/eouaaeinue, /oi ?an/ao eiiieaeoaoeee
aaaeaony, enoiaey ec iauaiia e iiiaieeaoo?u auionea eiia/iie
i?iaeoeoeee. Iauai auionea ii?aaeaeyaony aeaoiy ninoaaeythueie:
iaycaoaeueiie e auiieiaieth /anoe ( aincaeaca eee ae?oaiai aee?aeoeaiiai
caaeaiey) e iioeiece?oaiie /anoe, enoiaey ec nianoaaiiuo eioa?ania
i?aaei?eyoey e caeacia eeeaioia. ?ac?aaioaiu iaoaiaoe/aneea iiaeaee
eiiieaeoaoeee i?iecaiaenoaaiiuo nenoai n iiiaiaa?eaioiuie oaoiieiaeyie.
Aeey ?aoaiey caaea/ eiiieaeoaoeee eniieuecoaony eioi?iaoeey i oii, eaeea
oaoiieiae/aneea eeiee, noaiu iiaeoiaeyo aeey i?iecaiaenoaa oao eee eiuo
ecaeaeee, e i aaee/eiao auioneia ecaeaeee ii eaaeaeie eniieuecoaiie a
iioeiaeueiii ?aoaiee oaoiieiaee. Ia iniiaaiee yoiai i?eieiathony ?aoaiey
ia eniieueciaaiee oao eee eiuo eeiee, i ia?ano?ieea oaoiieiae/aneiai
i?ioeanna eee ia?aiaeaaeea iai?oaeiaaiey. I?e ii?aaeaeaiee iioeiaeueiie
i?iecaiaenoaaiiie i?ia?aiiu aicieeaao caaea/a ioeaiee i?aaeaeia
eciaiaiey eiiieaeoaoeee, eioi?ay ?aoaaony ia iiaeaee. Iiaeaeue iicaieyao
oeaeaiai?aaeaiii ieaie?iaaoue eciaiaiea ia?aiao?ia caaea/e
eiiieaeoaoeee, ioeaieaaoue ?acoeueoaou ei??aeoe?iaie e oi?aaeaeaoue
iaaaoeaiua iineaaenoaey i?e auiieiaiee i?iecaiaenoaaiiuo caaeaiee.
Caaea/e eiiieaeoaoeee yaeythony caaea/aie ae?iaii-eeiaeiiai
i?ia?aiie?iaaiey.

Iainiiaai niinia iienaiey aa?eaioiinoe eiiieaeoaoeee eiia/iie
i?iaeoeoeee eiiieaeoothueie ecaeaeeyie e i?ioeannaie nai?ee, iniiaie
eioi?iai yaeyaony a?aoiaay iiaeaeue eiiieaeoaoeee. Enneaaeiaaiu
aiciiaeiinoe i?aaiecaoeee acaeiiaeaenoaey n iiaeaeueth iooai
eniieueciaaieai a?aoa i?e ieaie?iaaiee caaea/ oaoieei-yeiiiie/aneiai
ieaie?iaaiey.

Enneaaeiaaiu iiaeaee i?eiyoey ?aoaiee a i?ioeanna ieaie?iaaiey e
eiiieaeoaoeee. Caaea/e i?eiyoey ?aoaiee aeey ioeaiee eiiieaeoaoeee
yaeythony iiiaie?eoa?eaeueiuie. ?ac?aaioaiu i?ioeaaeo?u
iiiaie?eoa?eaeueiie iioeiecaoeee e i?aaeeiaeai aeai?eoi, iicaieythuee
iooai auaeaeaiee aeaaiiai e?eoa?ey e ia?aie/aiee aoi?iai ?iaea
nie?auaoue eiee/anoai iioeiecaoeeiiiuo i?ioeaaeo?. Enneaaeiaaiu
aiciiaeiinoe eniieueciaaiey yeaiaioia eneonnoaaiiiai eioaeeaeoa a
nenoaiao i?eiyoey ?aoaiee ii ?ano?nai. Enneaaeiaaiu aiciiaeiinoe
i?eiaiaiey AeNI-iaoiaea ii?iaeaeaiey aeiioac aeey i?eiyoey ?aoaiee.
?ac?aaioai aeai?eoi ?aaeecaoeee iaoiaea.

Ai?iae?iaaiu e enneaaeiaaiu iniaaiiinoe ooieoeeiie?iaaiey i?ia?aiiiuo
eiiieaenia, ?aaeecothueo enneaaeoaiua iiaeaee.

?ac?aaioea e enneaaeiaaiea iaoiaeia, iaoaiaoe/aneeo iiaeaeae,
eioi?iaoeeiiiuo oaoiieiaee inouanoaeaia eae aeiiieiaiea yeaiaioia
eiino?oeoeaiie oai?ee e i?iaeaiii-i?eaioe?iaaiiiai eino?oiaioa?ey
iiaeaee?iaaiey caaea/ ieaie?iaaiey e eiiieaeoaoeee a i?iecaiaenoaaiiuo
nenoaiao n iiiaiaa?eaioiuie oaoiieiaeyie.

Eeth/aaua neiaa: ieaie?iaaiea, oi?aaeaiea, eiiieaeoaoeey,
oaoieei-yeiiiie/aneia ieaie?iaaiea, aaoiiaoece?iaaiiay nenoaia
oi?aaeaiey, eeoei, i?eieiathuaa ?aoaiea, iaoaiaoe/aneay iiaeaeue.

OHE SUMMARY

Morgunova T.I. Models and algorithms of a complete set in systems with
multialternative process technologies.

Thesis for scientific degree of the candidate of engineering science on
a speciality 05.13.06, Kherson, 1999.

Mathematical models, algorythms and products collection are created and
offered to complement the constructivist theory elements and also the
“toolkit” related to modeling planning problems and maltivariant schemes
production systems manedgement. Programming complexes functions are
developed to realize models. Specific features and conditions related to
the complex changes that effect a dialogue mode. Decision making models
related to creating complexes are offered for consideration.

Key word at a complete set: planning, control, complete set,
technological planning, automated control system; a person receiving the
solution; mathematical model.

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