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Моделювання процесів управління інвестиційною компанією в умовах нестабільного економічного середовища: Автореф. дис… канд. екон. наук / В.В. Гриб,

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i?i?noa?noai ina?oe Oe?a?ie

Aeiiaoeueeee aea?aeaaiee oi?aa?neoao

A?ea Aaaeei Aaeaioeiiae/

OAeE 519.876.2:334.714 (477)

Iiaeaethaaiiy i?ioean?a oi?aae?iiy ?iaanoeoe?eiith eiiiai??th a oiiaao
ianoaa?eueiiai aeiiii?/iiai na?aaeiaeua

Niaoe?aeuei?noue 08.03.02 – Aeiiii?ei-iaoaiaoe/ia iiaeaethaaiiy

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa aeiiii?/ieo iaoe

Aeiiaoeuee – 1999

Aeena?oaoe??th ? ?oeiien

?iaioo aeeiiaii ia eaoaae?? aeiiii?/ii? e?aa?iaoeee Aeiiaoeueeiai
aea?aeaaiiai oi?aa?neoaoo I?i?noa?noaa ina?oe Oe?a?ie (i. Aeiiaoeuee)

Iaoeiaee ea??aiee –aeieoi? aeiiii?/ieo iaoe, aeioeaio

?ai?ia Iao?i Aieiaeeie?iae/,

Aeiiaoeueeee aea?aeaaiee oi?aa?neoao

I?i?noa?noaa ina?oe Oe?a?ie,

caa?aeoth/ee eaoaae?ith o?iain?a ? aaie?anueei? ni?aae (i.
Aeiiaoeuee)Io?oe?ei? iiiiaioe: aeieoi? aeiiii?/ieo iaoe, i?ioani?

Caa?iaenueeee Ay/aneaa Aaeaiiae/,

Oa?e?anueeee iaoe?iiaeueiee oi?aa?neoao ?iai? I.A. Ea?ac?ia

I?i?noa?noaa ina?oe Oe?a?ie;

caa?aeoth/ee eaoaae?ith aeiiii?/ii? e?aa?iaoeee (i. Oa?e?a)

eaiaeeaeao aeiiii?/ieo iaoe

E?a/eianueeee Aieiaeeie? A?eoi?iae/,

Aeiiaoeueeee aea?aeaaiee oi?aa?neoao aeiiii?ee oa oi?a?ae?

I?i?noa?noaa ina?oe Oe?a?ie

noa?oee iaoeiaee ni?a?ia?oiee eaoaae?e eiii’thoa?ieo oaoiieia?e (i.
Aeiiaoeuee)

I?ia?aeia onoaiiaa – Ee?anueeee iaoe?iiaeueiee aeiiii?/iee oi?aa?neoao
I?i?noa?noaa ina?oe Oe?a?ie, eaoaae?a aeiiii?ei-iaoaiaoe/ieo iaoiae?a
(i. Ee?a).

Caoeno aeena?oaoe?? a?aeaoaeaoueny 28 n?/iy 2000 ?ieo i 10 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 11.051.01 o Aeiiaoeueeiio
aea?aeaaiiio oi?aa?neoao? I?i?noa?noaa ina?oe Oe?a?ie ca aae?anith:
83015, i. Aeiiaoeuee, aoe. *aethne?ioe?a, 198-a, aoae. 101.

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? Aeiiaoeueeiai
aea?aeaaiiai oi?aa?neoaoo I?i?noa?noaa ina?oe Oe?a?ie (83055, i.
Aeiiaoeuee, aoe. Oi?aa?neoaonueea, 24)

Aaoi?aoa?ao ?ic?neaiee 25 a?oaeiy 1999 ?ieo

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Iaa/ei A.N.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie aeine?aeaeaiiy. O i?ioean? noaiiaeaiiy ia Oe?a?i?
?eieo oe?iieo iaia??a c’yaeeiny aaaaoi cian?i iaoa?aeoa?ieo aeey iaoi?
aeiiii?ee aeaiaio?a ? iaoai?ci?a ?iaioe ia oeueiio ?eieo. Iaeiei c oaeeo
aeaiaio?a, ui aeieeee ia oiiaeiaiio ?eieo Oe?a?ie, noaee o?iainia?
iina?aaeieee: ?iaanoeoe?ei? oiiaee ? eiiiai??, ui noaee oei ii/aoeiaei
aooa?ii, yeee ni?eya caeo/aiith a aeiiii?eo nii/aoeo eioo?a, a iio?i ?
i?eaaoecaoe?eieo cania?a a?iiaaeyi Oe?a?ie.

Aeine?aeaeaiiy ?acoeueoao?a ooieoe?iioaaiiy aaaaoueio a?o/eciyieo
o?iainiaeo ?inoeooo?a i?ioyaii inoaii?o ?ie?a iieacaee iecueeee
i?ioan?eiee ??aaiue iaiaaeaeiaioo ?iaanoeoe?eieo oiiae?a ? eiiiai?e. Oea
iiynith?oueny a?aenooi?noth aeina?aeo ?iaioe oaeeo o?iainiaeo
?inoeooo?a, oiane?aeie aeoaea ei?ioeiai oa?i?io ?o ?nioaaiiy. Aiie
c’yaeeeny oaeoe/ii iaeii/anii c iaaoooyi Oe?a?iith iacaeaaeiino?.
?iaanoeoe?ei? oiiaee ? eiiiai?? ii??aiyii c ?ioeie o?iainiaeie
?inoeoooaie iathoue naith niaoeeo?eo, ui iio??aii aeey caaacia/aiiy ?o
aoaeoeaiiai ooieoe?iioaaiiy, ?aoaeueiiai aea/aiiy i?eioeei?a ? iaoiae?a
?o ?iaioe c o?aooaaiiyi aeei?enoaiiy aeina?aeo ?icaeiooeo e?a?i na?oo.

Ianoaa?euei?noue ooieoe?iioaaiiy ?iaanoeoe?eieo oiiae?a ? eiiiai?e ?
iane?aeeii ianoaa?eueiino? aeiiii?ee a oe?eiio, ui iaoiiaeaii
iaieaoini?iiiaei?noth aaaaoueio ainiiaea?/eo noa’?eo?a ? neeaaei?noth a
iaea?aeaii? iiaii?, oi/ii? ? aeinoia??ii? o?iainiai? ?ioi?iaoe??.
O?oaeiiu? o aecia/aii? oi/ieo cia/aiue i?eaooeiaino? oe?iieo iaia??a,
oi?a?aey yeeie ? iaeiei c iniiaieo aeae?a ae?yeueiino? o?iainiaeo
?inoeooo?a, ia aea? iiaeeeaino? noi?ioaaoe iioeiaeueiee ii?ooaeue
oe?iieo iaia??a, ui aaaea aei cieaeaiiy aoaeoeaiino? ?iaioe
?iaanoeoe?eieo oiiae?a ? eiiiai?e.

A?aenooi?noue oai?aoe/ii? iniiae oi?ioaaiiy ? oi?aae?iiy ?iaanoeoe?eieie
eiiiai?yie (?E), aeai?eoi?/iiai ? i?ia?aiiiai caaacia/aiiy aecia/a?
aeooaeuei?noue aeine?aeaeaiiy i?iaeai oi?aae?iiy ?iaanoeoe?eiith
eiiiai??th ia iniia? canoinoaaiiy iiaeo aeinyaiaiue a iaeano?
iiaeaethaaiiy aeiiii?/ieo nenoai, canoinoaaiiy aeey oeeo oe?eae
aeiiii?ei-iaoaiaoe/ieo iaoiae?a oa ?ioi?iaoe?eieo oaoiieia?e.

Caycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeena?oaoe?th
aeeiiaii ca iaoa??aeaie aea?aeathaeaeaoii? oaie AeiiAeO “Ainiiaea?nueeee
iaoai?ci ae?iaie/eo nenoai” (iiia? aea?ae?a?no?aoe?? – 01920005513).

I?aaeiaoii aeine?aeaeaiiy ? iiaeaethaaiiy i?ioean?a oi?aae?iiy
o?iainiaeie ?inoeoooaie a no/anieo oiiaao ia?aoiaeo aei ?eieiai?
aeiiii?ee.

Ia’?eoii aeine?aeaeaiiy ? i?ioeane oi?aae?iiy o?iainiaeie ?ano?naie
?iaanoeoe?eii? eiiiai??. Iniiai? ?acoeueoaoe aeine?aeaeaiiy io?eiaii i?e
aeine?aeaeaii? i?ioean?a oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii?
eiiiai?? “OAEO” (i. Ee?a).

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith i?aaenoaaeaii? aeena?oaoe?eii?
?iaioe ? ?ic?iaea nenoaie oi?aae?iiy ?iaanoeoe?eiith eiiiai??th oeyoii
neioaco aeiiii?ei-iaoaiaoe/ieo iiaeaeae, ni?yiiaaieo ia iioeiaeueia
oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii? eiiiai?? a oiiaao
ianoaa?eueiiai aeiiii?/iiai na?aaeiaeua.

Aeey aeinyaiaiiy cacia/aii? iaoe a ?iaio? iinoaaeaii ? ae??oaii oae?
caaea/?:

aeine?aeaeaii i?iaeaie ? i?eioeeie ooieoe?iioaaiiy ?iaanoeoe?eieo
oiiae?a ? eiiiai?e a Oe?a?i?;

i?iaaaeaii aiae?c ?nioth/eo iaoiae?a oi?aae?iiy o o?iainiaeo ?inoeoooao;

aecia/aii iniiai? iai?yiee no?aoaa?/iiai e iia?aoeaiiai oi?aae?iiy
?iaanoeoe?eiith eiiiai??th a oiiaao ianoaa?eueiiai aeiiii?/iiai
na?aaeiaeua;

?ic?iaeaii iiaeae? oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii?
eiiiai?? c o?aooaaiiyi iaaecia/aiino? oa ?eceeo;

i?iaiae?ciaaii iaoiaee ??oaiiy noioanoe/ii? iiaeae? ?iaioe
?iaanoeoe?eii? eiiiai??.

Oai?aoe/iith ? iaoiaeieia?/iith iniiaith ? ?iaioe a?o/eciyieo ?
caei?aeiiieo aaoi??a a iaeano? oi?aae?iiy ?iaanoeoe?yie, i?eeiyooy
??oaiue, iiaeaethaaiiy a oiiaao iaaecia/aiino?.

Iaoeiaa iiaecia io?eiaieo ?acoeueoao?a. O ?iaio? aeeiiaii iinoaiiaeo ?
ae??oaiiy caaea/? oi?ioaaiiy iioeiaeueiiai ii?ooaey oe?iieo iaia??a
?iaanoeoe?eii? eiiiai?? c o?aooaaiiyi oa?i?i?a iiaa?iaiiy ?iaanoeoe?e.
I?e oeueiio io?eiaii oae? iia? iaoeia? ?acoeueoaoe, ui iathoue
ae??oaeueia cia/aiiy aeey oaeineiiaeaiiy nenoaie oi?aae?iiy
?iaanoeoe?eieie eiiiai?yie:

eiioeaioe?y oi?ioaaiiy ii?ooaeueii? no?aoaa??, yea iiaoaeiaaia ia
i?eioeeiao aaeaioeaiiai oi?aae?iiy oa yea caiacia/o? aoaeoeaia
aeei?enoaiiy on?o aeae?a ?iaanoeoe?eieo ?ano?n?a;

ocaaaeueiaii iiaeaeue no?aoaa?/iiai oi?aae?iiy o?iainiaeie ?ano?naie
?iaanoeoe?eii? eiiiai?? a oiiaao ianoaa?eueiiai aeiiii?/iiai
na?aaeiaeua, ui aeicaiey? ?ic?iaeyoe aio/e? no?aoaa?? oi?ioaaiiy
?iaanoeoe?eiiai ii?ooaey;

iiaeaeue oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eiith eiiiai??th, ui
a?aoiao? aeiaaeeia?noue cia/aiue iaeaooi?o iieaciee?a i?eaooeiaino?
o?iainiaeo ?ino?oiaio?a oa aeicaiey? cae?enieoe no?aoaa?/ia oi?aae?iiy
?iaanoeoe?eiith eiiiai??th;

iiaeaeue oi?ioaaiiy ii?ooaeth oe?iieo iaia??a, yeo iiaoaeiaaii ia iniia?
aeei?enoaiiy oai??? ia/?oeeo iiiaeei oa caaacia/o? anoaiiaeaiiy
aoaeoeaieo ?ici???a ?iaanooaaiiy;

iiaeaeue iia?aoeaiiai oi?aae?iiy ii?ooaeai oe?iieo iaia??a
?iaanoeoe?eiith eiiiai??th, ui caaacia/o? ?iaanoeoe?eii? eiiiai??
oaeaeeo ?aaeoe?th ia ci?io a ?eieo oe?iieo iaia??a.

I?aeoe/ia cia/aiiy io?eiaieo ?acoeueoao?a aeine?aeaeaiiy iieyaa? a oiio,
ui oai?aoe/i? ?ic?iaee, iaaaaeai? a ?iaio?, ?aae?ciaaii a ?iaanoeoe?ei?e
eiiiai?? “OAEO” (i. Ee?a). Ia iniia? aeaieo o?iainiai? ca?oiino? i?i
ae?yeuei?noue oe??? eiiiai?? ?aae?ciaaii noioanoe/io iiaeaeue oi?aae?iiy
o?iainiaeie ?ano?naie. Ia iniia? io?eiaieo ?acoeueoao?a ?ic?aoiaaii
aoaeoeai?noue iiaeae? ? cai?iiiiiaaii iai?yiee uiaei oaeineiiaeaiiy
?iaanoeoe?eii? no?aoaa?? oa ?nioth/eo iaoiae?a oi?aae?iiy c iaoith
i?aeaeuaiiy aoaeoeaiino? ?iaioe ?iaanoeoe?eii? eiiiai??.

Ai?iaaoe?y ?acoeueoao?a aeine?aeaeaiiy. Iniiai? iieiaeaiiy aeena?oaoe??
aeiiia?aeaeenue ? iaaiai?thaaeenue ia iaoeiaeo nai?ia?ao eaoaae?e
aeiiii?/ii? e?aa?iaoeee Aeiiaoeueeiai aea?aeaaiiai oi?aa?neoaoo
I?i?noa?noaa ina?oe Oe?a?ie (i. Aeiiaoeuee).

Ioae?eaoe??. Ca iaoa??aeaie aeena?oaoe?? iioae?eiaaii 6 iaoeiaeo i?aoeue
caaaeueiei ianyaii 4.25 ae?oeiaaieo a?eoo?a, ?c yeeo aaoi?o iaeaaeeoue
2.2 ae?oeiaaieo a?eoo?a.

Ianya ? no?oeoo?a aeena?oaoe??. Iaoa, ia’?eo ? iaoiaeieia?y
aeine?aeaeaiiy aecia/eee eia?eo iiaoaeiae aeena?oaoe?eii? ?iaioe – a?ae
aiae?co i?eioeei?a ae?yeueiino? ?iaanoeoe?eieo oiiae?a ? eiiiai?e aei
oi?ioaaiiy nenoaie aeiiii?ei-iaoaiaoe/ieo iiaeaeae ?iaioe oeeo
o?iainiaeo ?inoeooo?a, ui caaacia/othoue oi?aae?iiy ?oi?i noaa?eueiei
ooieoe?iioaaiiyi.

Aeena?oaoe?y neeaaea?oueny c anooio, o?ueio ?icae?e?a, aeniiaeo, nieneo
e?oa?aoo?e c 116 iaeiaioaaiue, i?noeoue 6 oaaeeoeue, 3 ?enoiee, 8
aeiaeaoe?a ? aeeeaaeaia ia 162 noi??ieao iaoeiiieniiai oaenoo.

INIIAI? IIEIAEAIIss aeena?oaoe?eii? ?IAIOE

Aiae?c i?noey o?iainiaeo ?inoeooo?a o ?ano?oeoo?ecaoe?? aeiiii?ee
Oe?a?ie

?iaanoeoe?ei? oiiaee ? eiiiai?? i?ecia/aii aeey noeioethaaiiy a Oe?a?i?
iiaeo ?iaanoeoe?e o eiieo?aioi? aaeoc? ? i?aei?e?inoaa oa aeey
ianeoaiaoaaiiy i?ioeano i?eaaoecaoe?? aea?aeaaieo i?aei?e?inoa. Aea a
Oe?a?i? naia ?aeay i?eaaoecaoe?? aeoiaeeea ia c iaiao?aeiino?
i?eoyaiaiiy ?iaanoeoe?eieo ?ano?n?a a aeiiii?eo, a c iaiao?aeiino?
a?aeiiaeoe nioe?aeueio ni?aaaaeeea?noue oeyoii ia?aaea/? “oi?iaeueii
caaaeueiiia?iaeii? aeaniino?” ianaeaiith. Oiio eiioeaioe?y noai?aiiy
?iaanoeoe?eieo oiiae?a ? eiiiai?e noaaeeany a caeaaei?noue a?ae ae??aieo
?iaanoi??a, ui aaaeathoue ia no?eueee ?iaanooaaoe nai? caiuaaeaeaiiy a
aeiiii?eo, ne?eueee iaea?aeaoe iaeneiaeueio aeaiaeo a?ae aeei?enoaiiy
naiai i?aaa ia /anoeio a ?nioth/?e ? /anoi ia iaeaoaeoeai?o?e
aea?aeaai?e aeaniino?. Ae??ai? ?iaanoi?e aeae?athoue ?iaanoeoe?eio
eiiiai?th ia aeey oiai, uia cieceoe ?ecee ?iaanoeoe?e o iia? aaeoc?
ainiiaea?noaa, ui ?inoooue, ? ca?eueoeoe iiaeeea?noue i?eaooeo a?ae
oaeeo ?iaanoeoe?e, a ye aeanieee i?eaaoecaoe?eieo /ae?a ciaia’ycothoue
?iaanoeoe?ei? eiiiai?? i?eianoe i?eaooie, aea?aaeaioiee iaa?oue ia
caaaeuei?e na?aaei?e ?aioaaaeueiino? ainiiaea?noaa, a cia/ii aeuee.

A neeo aeuaneacaiiai aaeeea cia/aiiy ia? oaeineiiaeaiiy iaoiae?a
?aaoethaaiiy ae?yeueiino? o?iainiaeo ?inoeooo?a, cie?aia ?iaanoeoe?eieo
eiiiai?e, ?c iaoith ci?oeiaiiy oiiaeiaiai ?eieo ? noaa?e?caoe??
?iaanoeoe?eiiai i?ioeano a Oe?a?i?.

I?iaeaie oi?ioaaiiy ?iaanoeoe?eieo ?ano?n?a oiiae?a ? eiiiai?e

I?ioean oi?ioaaiiy ? ?ici?uaiiy ?ano?n?a ?iaanoeoe?eieo oiiae?a ?
eiiiai?e iaoiiaeaii anoaiiaeaiith oe?a?inueeei caeiiiaeaanoaii
i?aai?caoe?eii – i?aaiaith oi?iith ?nioaaiiy oeeo ?inoeoooe?iiaeueieo
?iaanoi??a. A?i ii/eia?oueny c oi?ioaaiiy noaoooiiai oiiaeo cae?eoiai
aeoe?iia?iiai oiaa?enoaa oeyoii iai?io cania?a caniiaiee?a ia aeoe??
aeaiiai ?iaanoeoe?eiiai oiiaeo.

I?ioa noi?iiaaiee noaoooiee oiiae iiaea? eeoa iaaaee/eo /anoeio
?iaanoeoe?eieo ?ano?n?a oiiaeo ? ? a?aei?aaiith oi/eith a i?ioean?
oi?ioaaiiy cania?a ?iaanoeoe?eiiai oiiaeo.

I?ney oi?ioaaiiy ii/aoeiaiai eai?oaeo (iiaii? iieaoe caniiaieeaie
aeoe?e) aei i?ioeano aeoioethaaiiy ?iaanoeoe?eieo ?ano?n?a
i?aeeeth/a?oueny iniaeeaa eaoaai??y ni?aaeaniee?a aeoea?a
?iaanoeoe?eiiai oiiaeo – eiai o/anieee, ye? ? iniiaiei aeaea?aeii
cania?a oiiaeo, ui iai?iththoueny ieie ia iniaeeao eaoaai??th oe?iieo
iaia??a – ?iaanoeoe?ei? na?oeo?eaoe. I?e oeueiio i???ioiai? ianyae
i?eoyaiaiiy ?ano?n?a o/aniee?a caeaaeaoue a?ae ?ici??o cania?a, aianaieo
o noaoooiee oiiae caniiaieeaie – aeoe?iia?aie.

Eiioeaioe?y aaeaioeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th

?iaanoeoe?eia eiiiai?y, ye ? ?io? o?iainia? ?inoeoooe, ? neeaaeiith
aeiiii?/iith nenoaiith. ?, ye aoaeue-yea neeaaeia aeiiii?/ia nenoaia,
?iaanoeoe?eia eiiiai?y ia? iio?aao a noa?aiii i?aai?ciaaiiio e
aoaeoeaiiio oi?aae?ii?. I?ae oi?aae?iiyi a ?iaanoeoe?ei?e eiiiai?? ne?ae
?icoi?oe i?ioean, nooi?noue yeiai iiaeia aecia/eoe ye ae?iaeaiiy
ea?oth/eo aieea?a c aieo ea?oth/iai i?aaia eiiiai??, ni?yiiaaieo
aaciina?aaeiuei ia ?iaanoeoe?eiee i?ioean aeey aeinyaiaiiy iinoaaeaieo
ia?aae ?iaanoeoe?eiith eiiiai??th oe?eae ? caaea/.

Ia?oi/a?aiaei aoaiii o i?ioean? oi?aae?iiy ?iaanoeoe?eiith eiiiai??th ?
ae?iaeaiiy ?iaanoeoe?eii? no?aoaa??. ?iaanoeoe?eia no?aoaa?y eiiiai??
aaco?oueny ia iiiyooyo oe?eae ? iaiaaeaiue. Aoaeue-yeo caaea/o aeai?o
iaea?eueo aoaeoeaieo ?iaanoeoe?e iiaea aooe ?aoe?iiaeueii ae??oaii ia
iniia? iiia?aaeiueiai /?oeiai oi?ioethaaiiy iaoe. Ui noino?oueny
iaiaaeaiue, oi aiie, ye i?aaeei, aeeeoothoueny ?eieii.

Oiio a oiiaao ianoaa?eueiino? ia ?eieo oe?iieo iaia??a a ?iaanoeoe?ei?e
eiiiai?? aeieea? iaiao?aei?noue aeinoaoiuei /anoiai ei?eaoaaiiy
?iaanoeoe?eii? no?aoaa?? c o?aooaaiiyi ciai?oi?o aieea?a. Ei?eaoaaiiy
?iaanoeoe?eii? no?aoaa?? c iaeiaioeie aeo?aoaie aac iia??oaiiy
iieaciee?a aoaeoeaiino? iiaeia caaacia/eoe, aeei?enoiaoth/e nenoaio
aaeaioeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th.

Eiioeaioe?y aaeaioeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th
oa?aeoa?eco?oueny oaeeie iieiaeaiiyie:

aeeaiea aea/aiiy iaoai?cio e oiia ?aae?caoe?? no?aoaa?/ieo ieai?a ca
iiia?aaei? ia??iaee e i?aai?caoe?y iaa/aiiy nenoaie no?aoaa?/iiai
oi?aae?iiy;

i?aeaeuaiiy iaae?eiino? iieaciee?a ooieoe?iioaaiiy ?iaanoeoe?eii?
eiiiai?? (i?ae iaae?ei?noth iieacieea ?icoi??oueny ?iia??i?noue eiai
noaa?eueiino?);

aeoeaia o/anoue niaoe?ae?no?a o oi?ioaaii? no?aoaa?/iiai ieaio
(?aae?caoe?y i?eioeei?a ?ioa?aeoeaiiai no?aoaa?/iiai oi?aae?iiy);

i?aai?caoe?y iaoai?cio ei?eaoaaiiy no?aoaa?? i?e ci?i? oiia ??
?aae?caoe??.

Aaeaioeaia no?aoaa?/ia oi?aae?iiy aecia/a?oueny aeaiia aeaeaie
aaeaioaoe??: ianeaia e aeoeaia no?aoaa?/ia aaeaioaoe?y.

Ianeaia aaeaioaoe?y a nenoai? aaeaioeaiiai no?aoaa?/iiai ieaioaaiiy
i?aaenoaaey? niaith aaeaioeai? yeino? no?aoaa??, ui caeeaaeathoueny i?e
?? oi?ioaaii? (aoaeo aioeneiaoe??). Oea icia/a?, ui aaeaioeai? yeino?
?aca?aothoueny a no?aoaa?/iiio ieai? o oi?i? iaeano? iaiaa?oaaiiy
no?aoaa?/iiai ieaio. Aaeaioeai? yeino? no?aoaa?? oiai /e ?ioiai nooiaiy
aecia/athoue iaea?eueo aoaeoeaio ?aaeoe?th ?iaanoeoe?eii? eiiiai?? ia
ci?io oiia ?aae?caoe?? no?aoaa?/iiai ieaio.

Aeoeaia aaeaioaoe?y – oea iaoai?ci ?aae?caoe?? aaeaioeaieo yeinoae
no?aoaa?/iiai ieaio, ui aaco?oueny ia iioaioe?eieo iiaeeeainoyo ianeaii?
aaeaioaoe??. Aeoeaia aaeaioaoe?y ?aae?co?oueny /a?ac iaoai?ci
?aaoethaaiiy a i?ioean? ei?eaoaaiiy no?aoaa??.

Oaeei /eiii, aaeaioeaia no?aoaa?/ia oi?aae?iiy ? i?ioean, caniiaaiee ia
?aae?caoe?? iiaeaeae oi?ioaaiiy iioeiaeueiiai no?aoaa?/iiai ieaio, ui
aieiae?? aaeaioeaieie yeinoyie, ? ?aae?caoe?? aaeaioeaieo yeinoae
no?aoaa?/iiai ieaio. I?ioean

aaeaioeaiiai no?aoaa?/iiai oi?aae?iiy ?iaanoeoe?eii? eiiiai?? iiaeia
i?aaenoaaeoe o aeaeyae? oaei? noaie (?en.1):

?enoiie 1. Noaia aaeaioeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th

Iicia/aiiy aei ?en. 1 :

O – oe?e? oa iaiaaeaiiy ?iaanoeoe?eii? eiiiai??;

– ciai?oi? aieeae, iaoiiaeai? noaiii ?eieo;

– iaiaaeaiiy, ui aeeeoothoueny ?eieii;

Ui – oi?aaeyth/? aieeae, ye? ae?iaeththoueny i–i aeieii, (i
=wmetafile8? ??C????????????
???????????yyy????.????1?????????????
?`???&??yyyy?????Ayyy1/2yyy ??1/2?????&?
?MathType??P????u y??????Y – ?acoeueoao ?iaanoeoe?eii? ae?yeueiino?
(i?eaooie).

O aeioe? (AN) cae?enith?oueny ae?iaeaiiy ?iaanoeoe?eii? no?aoaa?? ia
iniia? oe?eae ? iaiaaeaiue ae?yeueiino? ?E, a oaeiae iiaeeeainoae,
iaaeaieo ?eieii. Oe? iiaeeeaino? ioe?iththoueny a aeioe? aiae?co
?iaanoeoe?e (A?): aiae?c ?eieo a oe?eiio, eiai naaiaio?a ? ie?aieo
oe?iieo iaia??a. O aeioe? oi?ioaaiiy ?iaanoeoe?eiiai ii?ooaey (OI)
cae?enith?oueny ??oaiiy caaea/? aeiai?o ia’?eo?a ?iaanooaaiiy. O aeioe?
(OA) ?aae?co?oueny oi?aae?iiy aeoeaaie. O aeioe? (IA) ?aae?co?oueny
ioe?iea aoaeoeaiino? ?iaanoeoe?eii? ae?yeueiino? ?E. Aeie aaeaioaoe??,
oiaoi ei?eaoaaiiy ?iaanoeoe?eii? no?aoaa?? (EN) ? aieiaiei o aeai?e
noai?, oiio ui a iueiio ?aae?co?oueny eiioeaioe?y aaeaioeaiiai
oi?aae?iiy ?E.

Iaeiei ?c iaea?eueo aaaeeeaeo aoai?a oi?aae?iiy ?iaanoeoe?eiith
ae?yeuei?noth ? oi?aae?iiy ?iaanoeoe?eiei ii?ooaeai. ?ic??ciythoue aeaa
i?aeoiaee aei oi?aae?iiy ?iaanoeoe?eiei ii?ooaeai: aeoeaiee ? ianeaiee.

Aeoeaia oaeoeea i?eionea?, c iaeiiai aieo, ieeueia a?aene?aeaeaiiy ?
i?eaeaaiiy iaea?eueoa aoaeoeaieo oe?iieo iaia??a, a c ?ioiai aieo –
iaeneiaeueii oaeaeeee caoeno a?ae iecueeii?eaooeiaeo aeoea?a. Oae?e
oaeoeoe? a?aeiia?aea? niaoeeo?/iee iaoiae aeoeaiiai ea?oaaiiy – naii?ia,
ui icia/a? iino?eiee iai?i oa ?ioaoe?th oe?iieo iaia??a /a?ac o?iainiaee
?eiie.

Ianeaia oi?aae?iiy caniiaaia ia oyaeaii?, ui ?eiie aeinoaoiuei
aoaeoeaiee aeey aeinyaiaiiy oni?oo o aeai?? oe?iieo iaia??a aai a
o?aooaaii? /ano. Nooue ianeaii? oaeoeee neeaaea?oueny a noai?aii? aeia?a
aeeaa?neo?eiaaieo ii?ooae?a ?c cacaeaeaa?aeue aecia/aiei ??aiai ?eceeo ?
o?eaaeiio oo?eiaii? ii?ooaey a iaci?iiiio noai?.

A caeaaeiino? a?ae ia?aiiai i?aeoiaeo canoiniaothoueny o? aai ?io?
iaoiaee oi?aae?iiy ?iaanoeoe?eiei ii?ooaeai.

Ocaaaeueiaia iiaeaeue no?aoaa?/iiai oi?aae?iiy ?iaanoeoe?eiith
eiiiai??th

?iaanoeoe?eia eiiiai?y ciaoiaeeoueny a iino?ei?e aca?iiae?? c ciai?oi?i
na?aaeiaeuai. C iaeiiai aieo, aiia caeo/a? c ciai?oiueiai na?aaeiaeua
a?euei? o?iainia? ?ano?ne, c ?ioiai aieo – ?iaanoo? oe? ?ano?ne a
??ciiiai?oi? oe?ii? iaia?e (iai?eeeaae, aeoe?? i?aei?e?inoa). Oaeei
/eiii, ae?yeuei?noue ?iaanoeoe?eii? eiiiai?? i?aaenoaaey? niaith
ocaiaeaeaiee o /an? iio?e o?iainiaeo ?ano?n?a, ui noai?th? eiioo? ?c
iiceoeaieie ? iaaaoeaieie cai?ioieie ca’yceaie; ioaea, ?iaanoeoe?eia
eiiiai?y ? iacaieiooith nenoaiith, ui iiynith?oueny aeainoi?iiiueith
aca?iiae??th c iaaeieeoi?i na?aaeiaeuai.

sse?noue iacaieiooino? ? iaiao?aeiith c aeaio i?e/ei: ii-ia?oa,
aacoieiia aeaeeaaiiy ?iaanoeoe?eii? eiiiai?? caeaaeeoue a?ae ??
ni?iiiaeiino? caaacia/eoe iaaeoiaeaeaiiy ?ano?n?a ?c ciai?oiueiai
na?aaeiaeua, a ii-ae?oaa, aeeaaeaiiy i?eoyaiooeo cania?a o ??ciiiai?oi?
o?iainia? ?ino?oiaioe caaacia/o? iaea?aeaiiy iaeneiaeueiiai i?eaooeo, ui
oaeiae ni?ey? ?icaeoeo ?eieo oe?iieo iaia??a ? a oe?eiio iiceoeaii
aieeaa? ia aeiiii?eo.

?iaanoeoe?eia eiiiai?y i?aoeth? c /ioe?ia iioieaie eioo?a:

– caeo/aiiy o?iainiaeo ?ano?n?a;

– aeeaaeaiiy oeeo ?ano?n?a o oe?ii? iaia?e;

– iaea?aeaiiy i?eaooe?a a?ae oe?iieo iaia??a;

– iiaaoaiiy ciaia’ycaiue (ianea?a).

?ioi?iaoe?th i?i o?iainia? iioiee iieeaaeaii a iniiao iiaoaeiae iiaeae?
no?aoaa?/iiai oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii? eiiiai??.

I?ioean i?eeiyooy ??oaiue i?i aeeaaeaiiy cania?a o i?eaooeia? aeoeae a
iiaeae? ?icaeyaea?oueny ye aeene?aoiee, o yeiio ci?ii? ci?iththoueny
o?eueee a ie?ai? iiiaioe /ano, ui iaceaathoueny iaaeae? noaae?yie
?iaanoeoe?eiiai i?ioeano. Iaoae oeae i?ioean ?icaeyaea?oueny i?ioyaii
aeayeiai a?ae??ceo /ano [I,O], ui ?icaeaa?oueny ia n ?ioa?aae?a,
o?eaae?noue eiaeiiai c ieo aei??aith? . Ioaea, n* = T, aea ?
iaeeieoeath aei??o /ano, ui ci?ith?oueny aeene?aoii.

Aeey iiaoaeiae iiaeae? ae?yeueiino? ?iaanoeoe?eii? eiiiai?? aaaaeaii
oae? iicia/aiiy:

Rij – ?ano?ne, ui caeo/athoueny ia i-e noaae??, c oiiaith iiaa?iaiiy ia
noaae?? j;

Aki – aeoeae, ?iaanoiaai? ia k-e noaae??, iiaa?iaiiy yeeo
ia?aaeaa/a?oueny ia i-e noaae??;

Pki – ianeae (ciaia’ycaiiy), caeo/ai? ia k-e noaae??, iiaaoaiiy yeeo
ia?aaeaa/a?oueny ia i-e noaae??;

ylij – ?ano?ne, ye? ?ici?uai? a l-e aeoea ia noaae?? i c iaoiiaeaiei
iiiaioii iiaa?iaiiy ia noaae?? j;

rlii – /anoeia ?ano?n?a R, ui caeo/athoueny oa eaea ia aeeaaeaiiy a l-e
aeoea ia noaae?? i c iaoiiaeaiei iiiaioii iiaa?iaiiy ia noaae?? j;

alij – /anoeia ?ano?n?a A, ui ?a?iaanoo?oueny o l-e aeoea ia noaae?? i c
iaoiiaeaiei iiiaioii iiaa?iaiiy ia noaae?? j;

xki – /anoeia ?iaanoiaaieo ia k-e noaae?? ?ano?n?a A, ui eaea ia
iiaaoaiiy ciaia’ycaiue ia i-e noaae??;

pki – /anoeia ?ano?n?a R, ui caeo/athoueny ia i-e noaae?? oa eaea ia
iiaaoaiiy ciaia’ycaiue k-e noaae??.

Aeey iai/iino? i?ioeano ?iaanooaaiiy ia ?en. 2 i?eaaaeaii noaio ?iaioe
?iaanoeoe?eii? eiiiai??.

Ia i?aenoaa? c?iaeaieo aeua i?eiouaiue ? iicia/aiue iiaoaeo?ii
iaoaiaoe/io iiaeaeue ?iaioe ?iaanoeoe?eii? eiiiai??:

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A?%???&??yyyy?????Ayyy«[email protected]%??k?????&?
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@?(???&??yyyy?????Ayyy±[email protected](??n?????&?
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?enoiie. 2. Noaia ?iaioe ?iaanoeoe?eii? eiiiai??.

I?ioa c oeueiai oaa?aeaeaiiy ia aeieeaa? i?ioeeaaeia. ?iaeoa eaaeo/e, c
iaeiiai aeaea?aea iiaea a?aeaoaaoeny ?iaanooaaiiy a ??ciiiai?oi? oe?ii?
iaia?e, aea a iaeei aeae oe?iieo iaia??a ia iiaea a?aeaoaaoeny
?iaanooaaiiy c aeae?eueeio aeaea?ae. Ae?enii, ?icoaoiaoth/e caniae
iaeiiai aeeaaeieea (aai aeae?eueeio aeeaaeiee?a, eiinie?aeiaaieo ii
oa?i?iao aeeaaeaiiy), ?iaanoeoe?eia eiiiai?y iiaea ?icii?yaeaeaoeny ieie
oaeei /eiii, uia ni?aa?aeianoe /an iiaa?iaiiy ?iaanoeoe?e ?c oa?i?iaie
iiaaoaiiy ciaia’ycaiue.

?iaeaen i i?e Li iieaco?, ui /enei ?iaanoeoe?eieo iai?yie?a ia eiaeiiio
aoai? iiaea aooe ??ciiiai?oiei ? caeaaeeoue a?ae i?iiiceoe?e ia ?eieo
oe?iieo iaia??a.

Oe?eueiaa ooieoe?y (1) aecia/a? iaenei?caoe?th i?eaooeo ?iaanoeoe?eii?
eiiiai??, io?eiaiiai a?ae aeeaaeaiiy cania?a o ??ciiiai?oi? oe?ii?
iaia?e ca a?ae?aooaaiiyi aeo?ao, iia’ycaieo ?c aeieaoith a?aenioe?a ?
aeea?aeaiae?a ii ciaia’ycaiiyo ia?aae ?iaanoi?aie.

Iaiaaeaiiy (2) iieaco?, ui caeo/ai? ?ano?ne ?iaanoeoe?eii? eiiiai??
?iciiae?eythoueny ia aeeaaeaiiy a aeoeae ? ia iiaaoaiiy iioi/ieo aeiia.

Iaiaaeaiiy (3) a?aeia?aaea? aeeaaeaiiy cania?a a aeoeae: /anoeia cania?a
caeo/a?oueny ia aeaiiio aoai?, a /anoeia cania?a ?a?iaanoo?oueny c
i?eaooeo.

Iaiaaeaiiy (4) iieaco? iai?yiee aeei?enoaiiy i?eaooeo, io?eiaiiai a?ae
?iaanooaaiiy: /anoeia eaea ia iiaaoaiiy iioi/ieo ianea?a, a /anoeia
ciiao ?a?iaanoo?oueny a aeoeae.

Iaiaaeaiiy (5) aeiaaa?, uia on? iioi/i? ciaia’ycaiiy aoee a/anii
iiaaoai?. Caniae ia iiaaoaiiy ciaia’ycaiue aa?ooueny ye ?c i?eaooeo, oae
? c? ciiao caeo/aieo cania?a.

Iaiaaeaiiy (6) ? oiiaith iaa?ae’?iiino? ci?iieo.

Ooieoe?y Clij(y) ae?aaea? i?eaooie ?iaanoeoe?eii? eiiiai?? a?ae
?ici?uaiiy cania?a y a i?eaooeia? aeoeae. Oeae i?eaooie iiaea aooe
io?eiaiee o aeaeyae? aeea?aeaiae?a, yeui aeeaaeaiiy a?aeaoaa?oueny a
aeoe??, aai ae o aeaeyae? a?aenioe?a, yeui aeeaaeaiiy a?aeaoaa?oueny a
iae?aaoe?? aai ?io? ai?aia? oe?ii? iaia?e.

Ooieoe?y C’ij(R) icia/a? aeo?aoe ?iaanoeoe?eii? eiiiai??, ui aeieeee a
?acoeueoao? caeo/aiiy cania?a R ? iaeeaaei? aeo?aoe a ca’yceo c
ianeoaiaoaaiiyi ?iaanoeoe?eiiai i?ioeano.

O iaei?ino?oiio e?i?eiiio aeiaaeeo, eiee ia?aooaaiiy a?aenioe?a
cae?enith?oueny ca oi?ioeith neeaaeieo a?aenioe?a, ooieoe?? Clij(y) ?
C’ij(R) iathoue aeaeyae:

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?MathType??aea n – /enei ia??iae?a, ui ciaoiaeyoueny a ?ioa?aae? /ano
(i,j);

hi – oe?ia i?iaeaaeo ?ano?n?a, ui ae?? ia iiiaio /ano i oa ae?aaeaia a
??/ieo a?aenioeao;

h’i – oe?ia caeo/aiiy ?ano?n?a, ui ae?? ia iiiaio /ano i oa ae?aaeaia a
??/ieo a?aenioeao;

S – iaeeaaei? aeo?aoe.

Oaeei /eiii, noi?ioeueiaaia caaea/a oi?aae?iiy aeoeaaie ? ianeaaie
?iaanoeoe?eii? eiiiai?? (1) – (6) yaey? niaith caaea/o e?i?eiiai
i?ia?aioaaiiy, aeey ??oaiiy yei? iiaeooue aooe cai?iiiiiaai? oe?iei
a?aeii? iaoiaee.

Noioanoe/ia iiaeaeue no?aoaa?/iiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th

Aoaeue-yea aeiiii?ei-iaoaiaoe/ia iiaeaeue i?noeoue ea?iaai? ? iaea?iaai?
ia?aiao?e. Ea?iaai? ia?aiao?e (ci?ii?) aecia/athoueny a ?acoeueoao?
ae??oaiiy caaea/?, ca aeiiiiiaith yei? oi?ioeth?oueny iiaeaeue.
Iaea?iaai? ia?aiao?e (ao?aeia ?ioi?iaoe?y) caaeathoueny. Aiie iienothoue
ciai?oi? ? aioo??oi? oa?aeoa?enoeee nenoaie, ui iiaeaeth?oueny.
Iaea?iaai? ia?aiao?e ia ci?iththoueny a i?ioean? ??oaiiy caaea/?.

O iiaeae? (1) – (6) iaea?iaaieie ia?aiao?aie ? ?ici?? i?eaooeiaino? a?ae
?iaanooaaiiy a oe?ii? iaia?e Clij(y) ? noia caeo/aieo ia i-i aoai?
cania?a aeeaaeiee?a Rij. *a?ac oa, ui oe? ?ici??e caeaaeaoue a?ae noaio
oiiaeiaiai ?eieo ? a?ae i?iiiceoe?? ?iaanoi??a, oe? ia?aiao?e ?
aeiaaeeiaeie. Oey ianoaaeia i?aee?aneth?oueny oeyoii aeacoaaiiy ia
caeaaei?noue oeeo ia?aiao??a a?ae . Oaeei /eiii, ? aeiaaeeia? ?ici??e
Clij(y,) ? Rij(), i?aenoaaeaoe ye? o aeaoa?i?iiaaio iiaeaeue (1) – (6),
iaea?aeeii:

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??u?????&??MathType?? ???utha?????aea I – ciae iaoaiaoe/iiai
i/?eoaaiiy.

*a?ac oa, ui aeaia caaea/a ? aaaaoiaoaiiith, oiaoi iaiao?aeii aecia/aoe
no?oeoo?o iioeiaeueiiai ii?ooaey oe?iieo iaia??a ia eiaeiiio aoai?
caeo/aiiy o?iainiaeo ?ano?n?a, ??oaiiy aeaii? caaea/? iiaea aooe
io?eiaia ca aeiiiiiaith iaoiaeo noioanoe/ieo eaac?a?aae??io?a.

Iiaeaeue oi?ioaaiiy ii?ooaey oe?iieo iaia??a

ia iniia? aeei?enoaiiy oai??? ia/?oeeo iiiaeei

sse no?aoaa?/ia oe?eue ooieoe?iioaaiiy ?iaanoeoe?eii? eiiiai??
?icaeyaea?oueny caaea/a i?aeaeuaiiy ?iaanoeoe?eii? i?eaaaeeaino?
eiiiai?? aeey nai?o aeeaaeiee?a. O ca’yceo c oeei aoaeo?oueny
iaoaiaoe/ia iiaeaeue, o ye?e e?eoa???i iioeiaeueiino? ? nai?/ania
aeeiiaiiy ciaia’ycaiue ia?aae aeeaaeieeaie.

Ioaea, iaoae yj Y, j=1,…,m – iiiaeeia aa??aio?a iai?yie?a ?iaanooaaiiy
eioo?a ?iaanoi??a ri R, i=1,…,n. Eiaeiee yj ia’?aeio? a nia? iiiaeeio
aa??aio?a aaniethoii noiaeeo i?ae niaith o oa?i?i? iiaa?iaiiy,
i?eaooeiaino? ? nooiaith ?eceeo ?iaanoeoe?e, a eiaeiee ri ia’?aeio? a
nia? e?euee?noue ?iaanoi??a, o yeeo ca?aathoueny aaaeaiiy c oa?i?io
iiaa?iaiiy ?oi?o eioo?a. Aiane?aeie oeueiai iiaeia eiaei?e eiae?oe??
?iaanoi??a iinoaaeoe o a?aeiia?aei?noue aaaeaiee oa?i?i iiaa?iaiiy
cania?a i=1,…,n. Oiae? eiaeiiio aa??aioo iai?yieo ?iaanooaaiiy (iaaeae?
aoaeaii iaceaaoe aa??aioii ?iaanoeoe?eiiio i?iaeoo) iiaeia iinoaaeoe o
a?aeiia?aei?noue oa?i?i iiaa?iaiiy ?iaanoeoe?e j=1,…,m. ?ic?a’?ii
iiiaeeio ?iaanoeoe?eieo i?iaeo?a Y ia k i?aeiiiaeei. ?iaanoeoe?ei?
i?iaeoe ia’?aeiothoueny a aeai? i?aeiiiaeeie ca i?eioeeiii iaeiaeiaiai
??aiy i?eaooeiaino? aai nooiaiy ?eceeo. Oaeei /eiii, ia?oi/a?aiaith
iaoith ?iaanoeoe?eii? eiiiai?? ? caaeiaieaiiy aaaeaiue ?iaanoi??a c
oa?i?io iiaa?iaiiy eioo?a. Ae?oai?yaeiith iaoith ?iaanoeoe?eii?
eiiiai?? ? iaenei?caoe?y i?eaooeo a?ae ?iaanooaaiiy. C oeueiai aeieeaa?,
ui ooieoe?y oe?e? iiaeiia iaenei?coaaoe caaaeueio ei?eni?noue aeey
?iaanoi??a c oa?i?i?a iiaa?iaiiy cania?a.

Aaaaeaii ooieoe?th iaeaaeiino? R(V) oiai /e ?ioiai ?iaanoeoe?eiiai
i?iaeoo, ui ae?aaea? nooi?iue iaaeaiiy ia?aaaae ?iaanoi?ii aeaiiai
i?iaeoo. Cia/aiiy ooieoe?? “ia?aaaae” ci?ith?oueny a ?ioa?aae? [0,1].
Aiii aoaea aei??aithaaoe 1, yeui oa?i?ie aeeaaeaiiy cania?a ?iaanoi?a ?
oa?i?ie iiaa?iaiiy ?iaanoeoe?e ca?aathoueny, aai inoaii? iaioa ia?oeo.
sseui ae oa?i?ie iiaa?iaiiy ?iaanoeoe?e ia?aaeuothoue aaaeai? oa?i?ie
iiaa?iaiiy cania?a ?iaanoi?a, oi cia/aiiy ooieoe?? “ia?aaaae” aoaea
iaioei ca 1. ? /ei a?eueoa oey ??cieoey a oa?i?iao, oei iaioa cia/aiiy
oe??? ooieoe??.

Iiaoaeo?ii iao?eoeth ooieoe?e iaeaaeiino? (ia?aaaae) i-i ?iaanoi?ii
j-ai ?iaanoeoe?eiiai i?iaeoo:

Oaaeeoey 1. Iao?eoey ooieoe?e iaeaaeiino?

Y Yk1 Yks Ykm R y1 yj…yk1y1yj…yksy1yj…ykm r1 1(1)
1(j)…1(k1)1(1)1(j)…1(kS)1(1)1(j)…1(km) ri i(1)
i(j)…i(k1)i(1)i(j)…i(kS)i(1)i(j)…i(km)…………………………………rnn(1)n(j)…n(k1)n(1)n
(j)…n(kS)n(1)n(j)…n(km)

?yaeee aeaii? oaaeeoe? yaeythoue niaith iaiaaeaiiy caaea/?. Oiae? iaoith
caaea/? ? aea?? iaee?auiai aa??aioa ?iaanoeoe?eiiai i?iaeoo a eiaei?e c
i?aeiiiaeei Yks. Noeoii?noue iaee?aueo aa??aio?a o eiaei?e i?aeiiiaeei?
aoaea ae??oaiiyi caaea/? caaeiaieaiiy aaaeaiue ?iaanoi??a c oa?i?i?a
iiaa?iaiiy eioo?a. I?ioean ??oaiiy aeaii? caaea/? iiaeia ?icaeoe ia oae?
aoaie:

1. I?iaaaeeoueny ia?aoeiaiiy iaiaaeaiue (?yaee?a iao?eoe?) Ri o eiaei?e
c i?aeiiiaeei Yks: wmetafile8? ??A???????????
???????????yyy????.????1?????????????
`a???&??yyyy?????Ayyy?yyy ???????&?
?MathType??P???u?th??????2. C io?eiaiiai aaeoi?a DS ooieoe?e
iaeaaeiino? (ia?aaaae) aeae?a?oueny iaeneiaeueiee aeaiaio o eiaei?e c
i?aeiiiaeei Yks: d=maxDS aai wmetafile8? ??3. I?iaaaeeoueny
ia’?aeiaiiy d, s=1,…,m iaee?aueo aa??aio?a ?c eiaeii? i?aeiiiaeeie Yks;
oaeei /eiii, io?eia?ii aaeoi? D=(d1,…,dS,…,dm), yeee neeaaea?oueny ?c
iaeneiaeueieo aeaiaio?a oeeo i?aeiiiaeei.

Caaaeueiee aeae ??oaiiy aeaii? caaea/? iiaeia caienaoe o oaeiio
aeaeyae?:

wmetafile8? ??k???????????
???????????yyy????.????1?????????????
@A???&??yyyy?????Ayyy!yyy???a?????&?
[email protected]???u?th???????acoeueoaoii ??oaiiy aeaii? iiaeae? ? aaeoi?
D=(d1,…,dS,…,dm), yeee neeaaea?oueny c iaee?aueo aa??aio?a ?iaanooaaiiy
a?ioiaeo cania?a, oiaoi oeae aaeoi? i?aaenoaaey? niaith ?iaanoeoe?eiee
ii?ooaeue. Iaee?auei aa??aioii ?iaanooaaiiy a eiaei?e i?aeiiiaeei?
aaaaea?oueny oie aa??aio, aea?? yeiai caaeiaieueiy? caaaeueiei ?ioa?anai
?iaanoi??a c oa?i?i?a iiaa?iaiiy eioo?a. I?e oeueiio iaoa iaenei?caoe??
i?eaooeo ?iaanoeoe?eii? eiiiai?? iinoa? ia ae?oaa i?noea.

Iiaeaeue iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th

Ia iaio aaaeeeaei aeey o?iainiaeo iina?aaeiee?a ? cae?eniaiiy
aoaeoeaiiai iia?aoeaiiai oi?aae?iiy. Ia a?aei?io a?ae no?aoaa?/iiai
oi?aae?iiy, ui ni?yiiaaia ia caaacia/aiiy aeeoo?caeaoiino? eiiiai??, a
oaeiae i?aeaeuaiiy ?iaanoeoe?eii? i?eaaaeeaino? aeey aeeaaeiee?a, ui
ni?ey? ca?eueoaiith ianya?a o?iainiaeo ?ano?n?a, ye? caeo/athoueny, ?
?icoe?aiith nai?? ae?yeueiino? ia oiiaeiaiio ?eieo, iia?aoeaia
oi?aae?iiy ?iaanoeoe?eiith eiiiai??th noaaeoue nai?th iaoith aeinyaiaiiy
iioi/ieo oe?eae. Iniiaieie oe?eyie iia?aoeaiiai oi?aae?iiy ? iaea?aeaiiy
i?eaooeo a?ae iia?aoe?e ?c oe?iieie iaia?aie, i?aeo?eiea e?ea?aeiino?
aeanieo aeoea?a.

Ia’?eoii iia?aoeaiiai oi?aae?iiy ? ei?ioeino?ieia? aeeaaeaiiy a
??ciiiai?oi? o?iainia? aeoeae, ui, ye i?aaeei, ia ? aenieii?eaooeiaeie.
Uia iaenei?coaaoe i?eaooie, ea??aieoeoai eiiiai?? iae/ano?oa aeeaaea?
eiooe a a?eueo ?eceeiaai? oe?ii? iaia?e.

*a?ac oa, ui a no/anieo oiiaao aeiiii?/ii? ianoaa?eueiino? oaeoeea
?iaanooaaiiy a ?eceeiaai? aeoeae iiaea i?ecaanoe aei iaaaoeaieo
iane?aee?a, iniiaiith caaea/ath iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eiith
eiiiai??th ? i?i?i?caoe?y ?eceeo iaio?eiaiiy i/?eoaaiiai i?eaooeo. Oiio
i?e aeai?? e?eoa??th iioeiaeueiino? iaoaiaoe/ii? iiaeae? iia?aoeaiiai
oi?aae?iiy ?iaanoeoe?eiei ii?ooaeai eiiiai?? caaea/a i?i?i?caoe?? ?eceeo
? aecia/aeueiith.

Iiaoaeo?ii iaoaiaoe/io iiaeaeue iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eii?
eiiiai??, iaoith yei? ? i?i?i?caoe?y caaaeueiiai ?eceeo ci?ie
i?eaooeiaino? oe?iieo iaia??a aeey ?iaanoeoe?eii? eiiiai?? a i?ioean?
aaaaoiaoaiiiai ?iaanooaaiiy a ??ciiiai?oi? aeoeae.

Iaoae ytmj – noia eioo?a, ui ?iaanoothoueny a j-e aeoea (j=1,…,n), oa
caeo/athoueny ia t-io aoai? c oiiaith iiaa?iaiiy cania?a ia m-i (m>t)
aoai?. Ci?iia atm ae?aaea? noio eioo?a, ui ?a?iaanoo?oueny ia t-oii
aoai? c oiiaith iiaa?iaiiy a ia??iae m. Aaee/eia ctmj – iieaciee
i?eaooeiaino? j-ai aeoeao a ??ci? ia??iaee /ano. I?eionoeii, ui
i/?eoaaia cia/aiiy cj iiaea i?eaeecii aooe ??aiei na?aaeiueiio ca
ia??iae:

wmetafile8? ??x???????????
???????????yyy????.????1????????????? ?
???&[email protected]??a?????&??MathType??P
???u?????????”????-?????o???U???u?y??????aea t=1,2,…
,T-1.

??cieoey i?ae cj ? ctmj iiaea aooe ae?aaeaia ye rtmj = ctmj – cj, ?
i?aaenoaaey? niaith a?aeoeeaiiy aaee/eie i?eaooeiaino?, ui
niinoa??aa?oueny, a?ae i/?eoaaii?.

Caaaeueia e?euee?noue cania?a aeeaaeiee?a ui caeo/athoueny ia t-i aoai?
c oiiaith iiaa?iaiiy ia m-oii aoai? iiaeaii ci?iiith Rtm. Aaee/eia Rkt
ae?aaea? noio caeo/aieo ia k-io (k

? ??3/4??????????? ???????????yyy????.????1????????????? A????&[email protected]???????&??MathType??? ???u?????????"????-?????`@????`N???A?u???u???A ?????????u?th??????I?e iaiaaeaiiyo: wmetafile8? ??th??????????? ???????????yyy????.????1????????????? `a???&??yyyy?????Ayyy±yyy ???????&? ?MathType???????u?th??????wmetafile8? ??U??????????? ???????????yyy????.????1????????????? `@!???&??yyyy?????Ayyy±yyy?!???????&? ?MathType???????u?th??????wmetafile8? ??a??????????? ???????????yyy????.????1????????????? ` "???&??yyyy?????Ayyy¦yyy`"???????&? ?MathType??p????u?th??????Oe?eueiaa ooieoe?y (15) iiaeae? i?i?ieco? noia?iee ?ecee, ae?aaeaiee o aeaeyae? a?aeoeeaiue iieaciee?a i?eaooeiaino? oe?iieo iaia??a a?ae na?aaeiueiai cia/aiiy, aea ae?aaeaiiy, ui ciaoiaeeoueny i?ae ciaeii iiaeoeth, icia/a? aaniethoiee ?ici?? ?eceeo. Iaiaaeaiiy (16) iieaco?, ?c yeeo aeaea?ae ?iaanoothoueny eiooe o o?iainia? aeoeae. sse i/aaeaeii c iiaeae?, oeeie aeaea?aeaie ? caeo/ai? ia iioi/iiio aoai? eiooe aeeaaeiee?a, a oaeiae noia iiaa?iaieo c o?iainiaei ?acoeueoaoii (i?eaooeii) ?iaanoiaaieo ?ai?oa cania?a, iiaa?iaiiy yeeo ia?aaeaa/a?oueny ia aoai? i?ci?oa iioi/iiai. Iaiaaeaiiy (17) iieaco? iai?yiee aeei?enoaiiy iiaa?iaieo ?ai?oa ?iaanoiaaieo eioo?a. A?aeiia?aeii aei iiaeae?, /anoeia oeeo cania?a eaea ia iiaaoaiiy ciaia'ycaiue ia?aae aeeaaeieeaie, a ui caeeoeeeny – ciiao ?a?iaanoothoueny o o?iainia? aeoeae. Aeaia iaiaaeaiiy aeiaaa?, uia i?eaooie a?ae ?iaanoeoe?eii? ae?yeueiino? eiiiai?? ia?aaeuoaaa noio, yea i?aeeyaa? aeieao? nai?i aeeaaeieeai, ui aeeth/a? ?ici?? caeo/aieo cania?a ? aa?o?noue oeueiai caeo/aiiy. Iaiaaeaiiy (18) ia aeicaiey? ?iaanooaaoe a iaeei aeoea cania?a a?eueoa, i?ae uj, ui ? iaeaaaeeea?oith oiiaith cae?eniaiiy aeeaa?neo?eaoe??. Oaeei /eiii, iaaaaeaia iiaeaeue aeicaiey? noi?ioaaoe iioeiaeueiee ii?ooaeue oe?iieo iaia??a ?iaanoeoe?eii? eiiiai?? c i?i?iaeueiei aeey ia? ?eceeii ci?ie i?eaooeiaino? o?iainiaeo aeoea?a. INIIAI? AENIIAEE aeena?oaoe?eii? ?IAIOE I?iaaaeaia eiiieaenia aeine?aeaeaiiy caeiiii??iinoae, i?eioeei?a ? i?iaeai ooieoe?iioaaiiy o?iainiaeo ?inoeooo?a a Oe?a?i? a?aeiia?aeii aei iinoaaeaii? iaoe ? caaea/? aeicaieeei iaea?aeaoe oae? ?acoeueoaoe: ia iniia? aea/aiiy a?o/eciyii? ? ca?oa?aeii? e?oa?aoo?e i?iaaaeaii aiae?c ?nioth/eo iaoiae?a oi?aae?iiy o o?iainiaeo ?inoeoooao oa c?iaeaii ocaaaeueiaiiy, ui aeicaieythoue ?ic?iaeoe eiioeaioe?th aaeaioeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th ? iiaoaeoaaoe iiaeae? no?aoaa?/iiai e iia?aoeaiiai oi?aae?iiy ?? o?iainiaeie ?ano?naie; aecia/aii iniiai? iai?yiee no?aoaa?/iiai e iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th a oiiaao ianoaa?eueiiai na?aaeiaeua; ?ic?iaeaii eiioeaioe?th oi?ioaaiiy ii?ooaeueii? no?aoaa??, iiaoaeiaaii? ia i?eioeeiao aaeaioeaiiai oi?aae?iiy c iaoith aoaeoeaiiai aeei?enoaiiy on?o aeae?a ?iaanoeoe?eieo ?ano?n?a; neioaciaaii ocaaaeueiaio iiaeaeue no?aoaa?/iiai oi?aae?iiy ?iaanoeoe?eii? eiiiai?? c o?aooaaiiyi oiia ianoaa?eueiiai aeiiii?/iiai na?aaeiaeua, ui aeicaiey? ?ic?iaeyoe aio/e? no?aoaa?? oi?ioaaiiy ?iaanoeoe?eiiai ii?ooaey; cae?eniaii iiaeaethaaiiy i?ioean?a oi?aae?iiy ?iaanoeoe?eiith eiiiai??th c o?aooaaiiyi aeiaaeeiaino? cia/aiue iaeaooi?o iieaciee?a i?eaooeiaino? o?iainiaeo ?ino?oiaio?a, ui aeicaiey? cae?enieoe no?aoaa?/ia ea?oaaiiy ?iaanoeoe?eiith eiiiai??th; ?ic?iaeaii iiaeaeue oi?ioaaiiy ii?ooaeth oe?iieo iaia??a ia iniia? aeei?enoaiiy oai??? ia/?oeeo iiiaeei, ui ni?yiiaaia ia anoaiiaeaiiy aoaeoeaieo ?ici???a ?iaanooaaiiy; neioaciaaii iiaeaeue iia?aoeaiiai oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii? eiiiai?? c o?aooaaiiyi ?eceeo ? i?iaaaeaii aiae?c ?? /ooeeaino?; ?aae?ciaaii iiaeaeue no?aoaa?/iiai oi?aae?iiy o?iainiaeie ?ano?naie ?iaanoeoe?eii? eiiiai?? ia i?eeeaae? ?E AO “OAEO”, io?eiaii ?ic?aooieia? ?acoeueoaoe, ia iniia? yeeo aecia/aii aoaeoeai?noue canoinoaaiiy aaeaioeaiiai i?aeoiaeo aei oi?aae?iiy o o?iainiaeo ?inoeoooao; aeiiii?/ia aoaeoeai?noue a?ae oi?iaaaeaeaiiy ?acoeueoao?a aeena?oaoe?? neeaea 1250 oen. a?eaaiue o oe?iao ia 1 aa?aniy 1999 ?ieo. nienie iioae?eiaaieo aaoi?ii ?ia?o ca oaiith aeena?oaoe??: 1. A?ea A.A. ?anoe?aiiay iiaeaeue ?aaiou eiaanoeoeeiiiie eiiiaiee // Aanoiee AeiiAO. – Aeiiaoee: AeiiAO, 1999. – Na?. A. – ? 1. – N.119-123 (0.32 ae.a.). 2. A?ea A.A. Eiioeaioeey aaeaioeaiiai oi?aaeaiey eiaanoeoeeiiiie eiiiaieae // O?oaeu IV-e Anaoe?aeineie eiioa?aioeee ii i?iaeaiai yeiiiie/aneie eeaa?iaoeee. – AEaeoua aiaeu, iae 1999. – N. 14-17 (0.25 ae.a.). 3. A?ea A.A., Iao?aiei A.E., ?yaoeaa A.A. I?eiaiaiea oai?ee ?anieua/aouo iiiaeanoa aeey iiaeaee?iaaiey ?aaiou eiaanoeoeeiiiie eiiiaiee // Iiaeaee oi?aaeaiey a ?uii/iie yeiiiieea: Nai?iee iao/iuo o?oaeia. – Aeiiaoee: AeiiAO, 1999, Aui. 2. – N. 64-70 (0.43 ae.a.). Iiooea/ai ?ic?iaeaii iiaeaeue oi?ioaaiiy ii?ooaey oe?iieo iaia??a ?iaanoeoe?eii? eiiiai??, yea a?aoiao? oa?i?ie caeo/aiiy e iiaa?iaiiy o?iainiaeo ?ano?n?a ? aeicaiey? i?aeaeueoe ?iaanoeoe?eio i?eaaaeea?noue aeey aeeaaeiee?a. 4. A?ea A.A., Eunaiei TH.A., Iao?aiei A.E., Iiiiia?aiei I.I. Iiaeaee?iaaiea i?ioeanna i?eiyoey ?aoaiee i?e auai?a eiaanoeoeeiiiiai ii?ooaey // Iiaia a yeiiiie/aneie eeaa?iaoeea: Na. iao/. no. – Aeiiaoee: AeiiAO, 1999. – ? 2. – N. 4-28 (1.56 ae.a.). Iiooea/o iaeaaeeoue eiiieaen iiaeaeae oi?ioaaiiy iioeiaeueiiai ?iaanoeoe?eiiai ii?ooaeth, ye? a?aoiaothoue i?eioeei aaaaoie?eoa??aeueiino? ioe?iee ?iaanoeoe?eieo ?ino?oiaio?a oa nooi?iue noeeueiino? ?iaanoi?a aei ?eceeo ? aeicaieythoue ciaeoe iio?ioi ia ia?aoei? aoaeoeaii? oa eiii?ii?nii? iiiaeei. 5. Iiiiia?aiei I.I., A?ea A.A. Iiaeaeue ia?aie/aiey oaeiaeaoai?eoaeueiiai o?iaiy ?enea i?e auai?a iioeiaeueiiai ii?ooaey i?iecaiaenoaaiiuo no?aoaaee e eiaanoeoeee // Iiaia a yeiiiie/aneie eeaa?iaoeea: Na. iao/. no. – Aeiiaoee: AeiiAO, 1999. – ? 3. – N.9-23 (1 ae.a.). Iiooea/ai neioaciaaii iiaeaeue iioei?caoe?? no?oeoo?e ?iaanoeoe?eiiai ii?ooaey oa ae?iaie/i? i?ia?aie iaeii/anii, yea aeicaiey? iaenei?coaaoe eiia??i?noue aeinyaiaiiy caaeia?eueiiai ??aiy aoaeoeaiino? aeaniiai eai?oaeo oa caa??aaoe ieaoini?iiiaei?noue ?iaanoi?a. 6. Aai?ia I.A., A?ea A.A., ?yaoeaa A.A., Nai?ueei Ae.A. Caaea/e oi?ie?iaaiey ii?ooaey oeaiiuo aoiaa eiaanoeoeeiiiie eiiiaiee n o/aoii ?enea e aiaeec aa /oanoaeoaeueiioe // Oeiainu, o/ao, aaiee: Na. iao/. o?oaeia, Aeiiaoee: AeiiAO, 1999. – N. 3-14 (0.75 ae.a.). Iiooea/ai ?ic?iaeaii iiaeaeue iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th, yea ni?yiiaaia ia i?i?i?caoe?th caaaeueiiai ?eceeo ci?ie i?eaooeiaino? oe?iieo iaia??a aeey ?iaanoeoe?eii? eiiiai?? a i?ioean? aaaaoiaoaiiiai ?iaanooaaiiy a ??ciiiai?oi? aeoeae. AIIOAOe?ss A?ea A.A. Iiaeaethaaiiy i?ioean?a oi?aae?iiy ?iaanoeoe?eii? eiiiai??th a oiiaao ianoaa?eueiiai aeiiii?/iiai na?aaeiaeua. – ?oeiien. Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa aeiiii?/ieo iaoe ca niaoe?aeuei?noth 08.03.02. – Aeiiii?ei-iaoaiaoe/ia iiaeaethaaiiy. Aeiiaoeueeee aea?aeaaiee oi?aa?neoao I?i?noa?noaa ina?oe Oe?a?ie, Aeiiaoeuee, 1999. O ?iaio? aiae?cothoueny i?iaeaie ooieoe?iioaaiiy o?iainiaeo iina?aaeiee?a a oiiaao ianoaa?eueii? aeiiii?/ii? neooaoe?? a Oe?a?i?. C iaoith i?aeaeuaiiy aoaeoeaiino? ae?yeueiino? ?iaanoeoe?eii? eiiiai?? ia oiiaeiaiio ?eieo a ?iaio? cai?iiiiiaaii eiioeaioe?th aaeaioeaiiai i?aeoiaeo aei ea?oaaiiy ?iaanoeoe?eiith eiiiai??th. Iiaoaeiaaii iaoaiaoe/i? iiaeae? no?aoaa?/iiai oi?aae?iiy ii?ooaeai oe?iieo iaia??a, ni?yiiaai? ia iaenei?caoe?th i/?eoaaiiai i?eaooeo a aeiaaino?ieiaiio ia??iae?. Aeey i?aeaeuaiiy i?eaaaeeaino? ?iaanoeoe?eii? eiiiai?e o ?iaio? neioaciaaii iiaeaeue oi?ioaaiiy ii?ooaey oe?iieo iaia??a ia iniia? oai??? ia/?oeeo iiiaeei, e?eoa???i iioeiaeueiino? yei? ? nai?/ani?noue aeeiiaiiy ciaia'ycaiue ia?aae aeeaaeieeaie. Aeey cae?eniaiiy aoaeoeaiiai iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eieie eiiiai?yie a ?iaio? cai?iiiiiaaii iiaeaeue oi?aae?iiy ?iaanoeoe?eiei ii?ooaeai, ui ni?yiiaaia ia i?i?i?caoe?th noia?iiai ?eceeo ci?ie i?eaooeiaino? oe?iieo iaia??a. I?iaiae?ciaaii iaoiaee ?aae?caoe?? neioaciaaieo o ?iaio? iaoaiaoe/ieo iiaeaeae ? ?aae?ciaaia ocaaaeueiaia iiaeaeue no?aoaa?/iiai oi?aae?iiy ii?ooaeai oe?iieo iaia??a ?iaanoeoe?eii? eiiiai?? ia i?eeeaae? ?iaanoeoe?eii? eiiiai?? “OAEO” (i. Ee?a). Eeth/ia? neiaa: ?iaanoeoe?eia eiiiai?y, aaeaioeaia oi?aae?iiy ?iaanoeoe?eiith eiiiai??th, iiaeaeue no?aoaa?/iiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th, noioanoe/ia iiaeaeue oi?aae?iiy ?iaanoeoe?eiith eiiiai??th, iiaeaeue oi?ioaaiiy ii?ooaey oe?iieo iaia??a, iiaeaeue iia?aoeaiiai oi?aae?iiy ?iaanoeoe?eiith eiiiai??th. aiiioaoeey A?ea A.A. Iiaeaee?iaaiea i?ioeannia oi?aaeaiey eiaanoeoeeiiiie eiiiaieae a oneiaeyo ianoaaeeueiie n?aaeu. – ?oeiienue. Aeenna?oaoeey ia nieneaiea iao/iie noaiaie eaiaeeaeaoa yeiiiie/aneeo iaoe ii niaoeeaeueiinoe 08.03.02. – Yeiiiieei-iaoaiaoe/aneia iiaeaee?iaaiea. Aeiiaoeeee ainoaea?noaaiiue oieaa?neoao Ieienoa?noaa ia?aciaaiey Oe?aeiu, Aeiiaoee, 1999. A ?aaioa aiaeece?othony i?iaeaiu ooieoeeiie?iaaiey oeiainiauo iin?aaeieeia a oneiaeyo ianoaaeeueiie yeiiiie/aneie neooaoeee a Oe?aeia. Iaeiei ec oaeeo yeaiaioia, aicieeoeo ia oiiaeiaii ?uiea Oe?aeiu noaee oeiainiaua iin?aaeieee: eiaanoeoeeiiiua oiiaeu e eiiiaiee, eioi?ua, yaeyynue iaiouaieaiie /anoueth oiiaeiaiai iaoaiecia, noaee oai ia?aiia/aeueiui aooa?ii, eioi?ue niinianoaiaae i?eaea/aieth a yeiiiieeo nia/aea aeaiaaeiuo n?aaenoa, a iioii e i?eaaoecaoeeiiiuo n?aaenoa a?aaeaeai Oe?aeiu. Enneaaeiaaiey ?acoeueoaoia ooieoeeiie?iaaiey iiiaeo ioa/anoaaiiuo oeiainiauo einoeoooia ia i?ioyaeaiee iineaaeieo eao iieacaee ieceee i?ioanneiiaeueiue o?iaaiue iaiaaeaeiaioa eiaanoeoeeiiiuo oiiaeia e eiiiaiee. Yoi iauyniyaony ionoonoaeai iiuoa ?aaiou oaeeo oeiainiauo einoeoooia, aneaaenoaea i/aiue ei?ioeiai n?iea eo nouanoaiaaiey. Ianoaaeeueiinoue ooieoeeiie?iaaiey eiaanoeoeeiiiuo oiiaeia e eiiiaiee yaeyaony neaaenoaeai ianoaaeeueiinoe yeiiiieee a oeaeii, iaoneiaeaiiay iaieaoaaeaniiniaiinoueth iiiaeo oicyenoaothueo noauaeoia e neiaeiinoueth a iieo/aiee iieiie, oi/iie e aeinoiaa?iie oeiainiaie eioi?iaoeee. O?oaeiinoue a ii?aaeaeaiee oi/iuo cia/aiee aeioiaeiinoe oeaiiuo aoiaa, oi?aiaey eioi?uie yaeyaony iaeiei ec iniiaiuo aeaeia aeayoaeueiinoe oeiainiauo einoeoooia, ia aeaao aiciiaeiinoe noi?ie?iaaoue iioeiaeueiue ii?ooaeue oeaiiuo aoiaa, /oi aaaeao e nieaeaieth yooaeoeaiinoe ?aaiou eiaanoeoeeiiiuo oiiaeia e eiiiaiee. Ionoonoaea oai?aoe/aneie iniiau oi?ie?iaaiey e oi?aaeaiey eiaanoeoeeiiiuie eiiiaieyie, aeai?eoie/aneie e i?ia?aiiiie iaania/aiiinoe ii?aaeaeyao aeooaeueiinoue enneaaeiaaiey i?iaeai oi?aaeaiey eiaanoeoeeiiiie eiiiaieae ia iniiaa i?eiaiaiey iiaaeoeo aeinoeaeaiee a iaeanoe iiaeaee?iaaiey yeiiiie/aneeo nenoai, i?eiaiaiey aeey yoeo oeaeae yeiiiieei-iaoaiaoe/aneeo iaoiaeia e eioi?iaoeeiiiuo oaoiieiaee. Eiaanoeoeeiiiay eiiiaiey, eae anyeee ae?oaie oeiainiaue einoeooo, yaeyaony neiaeiie yeiiiie/aneie nenoaiie. E eae anyeay neiaeiay yeiiiie/aneay nenoaia eiaanoeoeeiiiay eiiiaiey ioaeaeaaony a ouaoaeueii i?aaieciaaiiii e yooaeoeaiii oi?aaeaiee. Iiae oi?aaeaieai a eiaanoeoeeiiiie eiiiaiee neaaeoao iiieiaoue i?ioeann, nouiinoue eioi?iai iiaeii ii?aaeaeeoue eae au?aaioeo oi?aaeythueo aicaeaenoaee ni noi?iiu oi?aaeythuaai i?aaia eiiiaiee, iai?aaeaiiuo ia iaiin?aaenoaaiii eiaanoeoeeiiiue i?ioeann aeey aeinoeaeaiey iinoaaeaiiuo ia?aae eiaanoeoeeiiiie eiiiaieae oeaeae e caaea/. Ia?aii/a?aaeiui yoaiii a i?ioeanna oi?aaeaiey eiaanoeoeeiiiie eiiiaieae yaeyaony au?aaioea eiaanoeoeeiiiie no?aoaaee. Eiaanoeoeeiiiay no?aoaaey eiiiaiee aace?oaony ia iiiyoeyo oeaeae e ia?aie/aiee. Ethaay caaea/a auai?a iaeaieaa yooaeoeaiuo eiaanoeoeee iiaeao auoue ?aoeeiiaeueii ?aoaia ia iniiaa i?aaeaa?eoaeueiiai /aoeiai oi?ioee?iaaiey oeaee. *oi eanaaony ia?aie/aiee, oi iie, eae i?aaeei, aeeeoothony ?uieii. Iiyoiio a oneiaeyo ianoaaeeueiinoe ia ?uiea oeaiiuo aoiaa o eiaanoeoeeiiiie eiiiaiee aicieeaao iaiaoiaeeiinoue aeinoaoi/ii /anoie ei??aeoe?iaee eiaanoeoeeiiiie no?aoaaee n o/aoii aiaoieo aicaeaenoaee. Ei??aeoe?iaeo eiaanoeoeeiiiie no?aoaaee n iaeiaiueoeie cao?aoaie aac oooaeoaiey iieacaoaeae yooaeoeaiinoe iiaeii iaania/eoue, eniieuecoy nenoaio aaeaioeaiiai oi?aaeaiey eiaanoeoeeiiiie eiiiaieae I?aaeeiaeaia eiioeaioeey aaeaioeaiiai iiaeoiaea e oi?aaeaieth eiaanoeoeeiiiuie eiiiaieyie, eioi?ay eaaea a iniiao iino?iaiey iaoaiaoe/aneeo iiaeaeae no?aoaae/aneiai oi?aaeaiey ii?ooaeai oeaiiuo aoiaa eiaanoeoeeiiiuo eiiiaiee, iai?aaeaiiuo ia iaeneiecaoeeth iaeeaeaaiie i?eauee a aeieain?i/iii ia?eiaea. Neioace?iaaia iiaeaeue oi?ie?iaaiey ii?ooaey oeaiiuo aoiaa ia iniiaa oai?ee ia/aoeeo iiiaeanoa, e?eoa?eai iioeiaeueiinoe eioi?ie yaeyaony naiaa?aiaiiinoue iiaaoaiey iaycaoaeuenoa ia?aae aeeaae/eeaie. I?aaeeiaeaia iiaeaeue oi?aaeaiey eiaanoeoeeiiiui ii?ooaeai, eioi?ay iai?aaeaia ia ieieiecaoeeth noiia?iiai ?enea eciaiaiey aeioiaeiinoe oeaiiuo aoiaa. ?aaeeciaaia iaiauaiiay iiaeaeue no?aoaae/aneiai oi?aaeaiey ii?ooaeai oeaiiuo aoiaa eiaanoeoeeiiiie eiiiaiee ia i?eia?a eiaanoeoeeiiiie eiiiaiee “OYEO” (a. Eeaa). Eeth/aaua neiaa: eiaanoeoeeiiiay eiiiaiey, aaeaioeaiia oi?aaeaiea eiaanoeoeeiiiie eiiiaieae, iiaeaeue no?aoaae/aneiai oi?aaeaiey eiaanoeoeeiiiie eiiiaieae, noioanoe/aneay iiaeaeue oi?aaeaiey eiaanoeoeeiiiie eiiiaieae, iiaeaeue oi?ie?iaaiey ii?ooaey oeaiiuo aoiaa, ia/aoeea iiiaeanoaa, iiaeaeue iia?aoeaiiai oi?aaeaiey eiaanoeoeeiiiie eiiiaieae. SUMMARY Grib V.V. Modeling of management processes of the investment company under conditions of an unstable economic environment. – Manuscript. Thesis on competition of the economic sciences scientific degree on the speciality 08.03.02. – Economic-Mathematical modeling. Ministry of Education of Ukraine, Donetsk State University, Donetsk, 1999. The problems of financial intermediaries functioning under conditions of an unstable economic situation in Ukraine are analyzed in the paper. To increase the efficiency of the investment company activities on fund market the concept of adaptive approach in investment company management is proposed. The mathematical models of strategic securities portfolio management are designed. They are directed to long-term expected profit maximization. To increase the investment companies attractiveness the securities portfolio forming model based on fuzzy sets theory is developed. The optimum criterion of the model is to redeem the investment company obligations in time. In order to perform efficient operational management of the investment companies the securities portfolio management model is proposed. It is directed to minimization of aggregate risk of securities profitability changes. The realization methods of mathematical models developed in the paper are analyzed. The general strategic securities portfolio management model is realized at the example of “OEEO” investment company (Kiev). Key words: investment company, adaptive management of the investment company, investment company strategic management model, investment company stochastic management model, securities portfolio forming model, investment company operative management model.

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