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Ically mathematical programuvannya - Nakonechny S.І.
Zaklyuchnі zauvazhennya
One іz sposobіv urahuvannya vipadkovih protsesіv that yavisch Je zastosuvannya metodіv programuvannya stochasticity.
HEAD metoyu vikoristannya stochastics models i metodіv optimal planuvannya Je vrahuvannya vsogo dіapazonu mozhlivih values parametrіv scho vivchayutsya, that іmovіrnіsnogo nature vikoristanoї Informácie. Reason іmovіrnіsnogo nature vhіdnoї Informácie for ekonomіko-ically mathematical models vіdomі: nayavnіst vipadkovih pomilok at zborі danih, vipadkovіst ekonomіchnih protsesіv, vpliv Weather minds on the Branch deyakі materіalnogo virobnitstva. Vivchennya and takozh practicality zastosuvannya stochastics models daє zmogu not deprivation pіdvischiti Naukova obґruntovanіst that tochnіst planned rozrahunkіv, Ale takozh i rozglyanuti number tsіkavih tasks rozv'yazuvannya yakih іz zastosuvannyam determіnovanih nemozhlive models.
Odnієyu s vazhlivih perevag scho daє vikoristannya metodіv i models stochasticity programuvannya, Je mozhlivіst znahodzhennya operational promising that planіv rozvitku system scho doslіdzhuєtsya, SSMSC mozhna koriguvati, and in such razі sumarnі vitrati on realіzatsіyu plan that yogo away korektsіyu will mіnіmalnimi.
Neobhіdno zaznachiti scho bіlshіst practical tsіkavih stochastics models programuvannya Got series Especially, do not allow SSMSC zmogi zastosovuvati to them traditsіynі methodological nelіnіynogo programuvannya. Tom ostannіm hour іntensivno rozvivayutsya pryamі methodological stochasticity programuvannya, s yakih Relief was mozhlivim rozv'yazuvannya podіbnih tasks.
Sered spetsіalіzovanoї lіteraturi, prisvyachenoї stochasticity programuvannyu, slіd viokremiti Robot YM Єrmolєva that іn. [7, 8, 14].
Kontrolnі zapitannya
- Sutnіst tasks programuvannya stochasticity.
- For yakimi Find our mozhliva klasifіkatsіya tasks stochasticity programuvannya?
- Yak is stochastic task nazivaєtsya odnoetapnoyu?
- Yak is stochastic task nazivaєtsya Two-stage?
- Nazvіt methodological rozv'yazuvannya odnoetapnih stochasticity problems.
- Nazvіt rozv'yazuvannya Two-stage methodological problems of stochasticity.
- Yak zvesti stochasticity problem mean:
.
.
to determіnovanoї zadachі?
Butts that zavdannya samostіynoї for robots
Target 10.1. FIRMA viroblyaє product popit on yaky nevіdomy advance. Navіt for vіdomih tsіn that vitrat on virobnitstvo obviously Je rizik abo nedooderzhannya pributku, Yakscho obsyag virobnitstva Mensch od popitu, abo nevipravdanih vitrat in protilezhnomu razі.
Let him put takі poznachennya: ξ - vipadkovy popit on produktsіyu; C - Cena on realіzovanu produktsіyu; g - pitomі vitrati on її virobnitstvo; x - Shukanov obsyag virobnitstva produktsії.
Prompted the model that zbalansuvannya popitu Offers s urahuvannyam mozhlivostі chastkovoї adaptatsії virobnitstva to popitu.
Problem 10.2. For virobnitstva dvoh vidіv virobіv mozhna vikoristati obladnannya dvoh tipіv
hour cost
vikoristannya obladnannya for vigotovlennya produktsії Je vipadkovimi values. Sobіvartіst one virobu
bude takozh vipadkovoyu value. Nekhay schіlnostі rozpodіlіv vipadkovih values
that
vіdomі:
rozpodіlenі for normal law s ically mathematical spodіvannyami
that serednіmi quadratic vіdhilennyami
a
rozpodіlenі rіvnomіrno on іntervalі
.
Let him that N 1 N 2 - Plan Key infrastructure Persha that another virobіv (scho zumovlyuєtsya contract) napriklad, N 1 = 100 pcs, N 2 = 200 pcs..
Viznachte obladnannya robots optimally plan for yakogo mіnіmіzuyutsya spodіvanі virobnichі costs of Key infrastructure virobіv, Yakscho rizik (ymovіrnіst) perevischennya fund hour at T vikonannya kontraktіv becomes bіlshe yak 0.10 and rizik nevikonannya contract not bіlshy of 0.05.
Prompted ically mathematical model that zadachі vіdshukayte rozv'yazki zadachі for danimi induced in Table. 10.10.
table 10.10
Grupa obladnannya, (i) | Pitomі expenses hour, year / pcs. | Pete sobіvartіst virobu mind. od. | Foundation i-th hour obladnannya year | ||||||
1 | 0.2 | 0.2 | 0.3 | 0.3 | 2 | 4 | 1 | 2 | 50 |
2 | 0.1 | 0.2 | 0.1 | 0.2 | 3 | 6 | 2 | 8 | 65 |
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