InotungamirwaSecondary dzidzo uye zvikoro

Muenzaniso mumwe kwemasvomhu muenzaniso. Definition, kupatsanura uye unhu

In yaida nyaya yako kufunga tinopa mienzaniso kwemasvomhu yokutevedzera. Uyezve, tinofanira kuteerera matanho rakasikwa mienzaniso uye kukurukura matambudziko chokuita kwemasvomhu Modelling.

Mumwe mubvunzo wedu - a kwemasvomhu muenzaniso hwenyika, mienzaniso, tsanangudzo zvatichatarisa gare gare. Tanga kutaura isu kuuya pfungwa iyoyo munhu "muenzaniso", kumboongorora kupatsanura dzavo uye anozodzidza yedu huru nyaya.

Pfungwa yokuti "muenzaniso"

Tinowanzoshandisa shoko "muenzaniso". Chii? Izwi iri tsanangudzo dzakawanda, chete vatatu vavo:

  • rimwe chinhu kuti vakasikirwa kugamuchira uye kuchengeta mashoko kuti zvinoratidza zvimwe zvivako kana unhu nezvakadaro chepakutanga chinhu (chaiyo chinhu chinogona kutaurwa zvakasiyana siyana: tsanangudzo pfungwa vachishandisa vatambi uye zvichingodaro);
  • vachiri pasi muenzaniso zvakaburitswa majini chaiwo ezvinhu muupenyu utariri kana;
  • muenzaniso inogona diki kopi chinhu (vari vakasikirwa kudzidza uwane uye pachisara sezvo muenzaniso inoratidza mamiriro uye ukama).

Zvichienderana zvose zvakaiswa kare, zvinokwanisika kuti mhedziso diki: muenzaniso kunotibvumira kudzidza zvakadzama hwakaoma kunzwisisa kana chinhu.

mhando dzose kunogona Classified akawanda chikonzero:

  • pamusoro munda kushandiswa (kudzidzisa, ruzivo, zvesainzi, uchitamba mutambo, simulation);
  • pamusoro simba pamusoro (kunofambira mberi uye simba);
  • indasitiri ruzivo (mumuviri, kemikari, nenzvimbo, munhoroondo, Sociological, zvoupfumi, masvomhu);
  • kuti nzira kumiririrwa (uye zvinhu ruzivo).

Information yokutevedzera, akavapindurawo, vanokamurwa utange uye kwokufananidzira. A chiratidzo - pakombiyuta uye asiri kombiyuta. zvino tava kutendeukira kune mamwe mashoko nokuongorora mienzaniso kwemasvomhu yokutevedzera.

kwemasvomhu womuenzaniso

Hazvina kuoma kuti zvokufungidzira munhu akarongeka muenzaniso inoratidza zvinhu chero chinhu kana chiitiko achishandisa chinokosha kwemasvomhu zviratidzo. Masvomhu uye vanofanira vatevedzere mifananidzo munyika yenyu mutauro chaiwo.

kwemasvomhu Modelling nzira wamuka kwenguva refu, zviuru zvemakore zvakapfuura, pamwe veMubatanidzwa sayenzi. Zvisinei, kuti riwedzere kuti kukura nzira iyi Modelling vakapa nechitarisiko kombiyuta (zvemagetsi makombiyuta).

zvino tava kutendeukira kune kupatsanura. It anogona kuitwa zvimwe zvinhu. Ivo dzaitaurwa tafura pazasi.

Kupatsanura kubudikidza munda sayenzi

Kushandiswa kwemasvomhu yokutevedzera mu wefizikisi, evanhu, kemisitiri, etc.

Maererano kwemasvomhu midziyo, iro rinoshandiswa Modelling kwacho

Models kwakavakirwa differential equations, discrete algebraic manipulations, etc.

Nekuti zvakafunga Modelling

Maererano nenheyo iyi, govera rairatidza, Optimization, multi-nzira, uchitamba mutambo wacho uye simulation yokutevedzera

We zvamaronga kumisa uye funga ichangopfuura kupatsanura, nekuti zvinoratidza mitemo mukuru simulation nezvinangwa yakasimbiswa yokutevedzera.

anorondedzera Modèles

Muchitsauko chino, isu zvamaronga kuti agare pamusoro rairatidza kwemasvomhu yokutevedzera. Kuti zviite zvose muenzaniso zvakajeka achapiwa.

Ngatitange nepfungwa yokuti iyi mhando anganzi rairatidza. Izvi imhaka yokuti isu chete kuita Masvomhu uye Zvaifungidzirwa, asi hatigoni kunyengera mugumisiro zviitiko.

Muenzaniso unoshamisa rairatidza kwemasvomhu womuenzaniso kuverenga kutiza nzira, kumhanya, chinhambwe kubva Earth comets, izvo nechisimba muimba Nokuwanda kwakaita redu renzou. womuenzaniso uyu rairatidza, sezvo zvose migumisiro vanogona chete kutinyevera chero ngozi. Inoratidza nei chiitiko, nhamo, hatingadaro. Zvisinei, pana Masvomhu izvi, zvinokwanisika kuti kutora chero matanho kuchengetedza upenyu Panyika.

Optimization mienzaniso

Zvino tine hurukuro shoma pamusoro zvoupfumi uye akarongeka yokutevedzera, mienzaniso izvo zvakasiyana zvinhu. Muchiitiko ichi tiri kutaura mienzaniso kuti anobatsira kuwana mhinduro yakarurama mamwe mamiriro ezvinhu. Vachava vamwe zvavanogona. Kuti izvozvo zvakajeka, funga muenzaniso kubva zvokurima chikamu.

Tine dura, asi tsanga rinoparara chaizvo. Muchiitiko chino, tinofanira kusarudza tembiricha rworudyi uye optimize kuchengetera rikurumidze.

Saka, tinogona kutsanangura pfungwa "Optimization muenzaniso." In kwemasvomhu nemashoko, ino equations (zvose Linear uye kwete), mushonga izvo zvinobatsira kuwana Zvakanyanya Kunaka Panguva Yepamuviri mhinduro mune imwe ezvoupfumi mamiriro ezvinhu. Muenzaniso mumwe kwemasvomhu muenzaniso (Optimization), isu akatarira, asi ndinoda kuwedzera: marudzi Izvi ndezvako boka matambudziko extremal, vanobatsira kutsanangura mashandiro ari zvoupfumi.

Cherechedza chimwe chinhu: muenzaniso rinogona mhando dzakasiyana (ona tafura pazasi.).

wakakumikidzwa

Panyaya iyi, mugumisiro zvinoenderana mazano Data

stochastic

Description pamusoro chibhubhubhu kwendangariro. Panyaya iyi mugumisiro hakunyatsozivikanwi

multi-zvinodiwa muenzaniso

Zvino isu iwe kupa kutaura zvishoma pamusoro kwemasvomhu muenzaniso multi-zvinodiwa Optimization. Izvi zvisati zvaitika, isu takasiya muenzaniso kwemasvomhu muenzaniso Optimization kwacho nokuda kuroora chokuratidza upi, asi chii kana vakawanda?

Muenzaniso unoshamisa womumwe multicriterial dambudziko riri sangano yakarurama, anobatsira uye mari panguva simba mapoka makuru evanhu. Nezvinetso zvakadaro zvinowanzotaurwa kuwanikwa muchiuto, chikoro canteens, misasa zhizha, zvipatara uye zvichingodaro.

Inzirai anopiwa kwatiri dambudziko iri?

  1. Meals vanofanira kubatsira.
  2. zvokudya mari zvinofanira kuva shoma.

Sezvaunogona kuona, zvinangwa izvi regai -enderana. Saka, kuti vagadzirise dambudziko zvakakodzera kutsvaka Zvakanyanya Kunaka Panguva Yepamuviri mhinduro, nengaidzo pakati zviviri zvinodiwa.

Game mienzaniso

Achitaura mutambo yokutevedzera, unofanira kunzwisisa pfungwa "mutambo pfungwa." Nyore, mashoko muenzaniso zvinomiririra kwemasvomhu yemashoko mukurwisana izvi. Chete zvakafanira kunzwisisa kuti, kusiyana chaiko kunetsana kwaiita kwemasvomhu womuenzaniso une mitemo yayo chaiyo.

Ndiani achapiwa kushoma mashoko kubva dzidziso mitambo ichakubatsira kunzwisisa chii mutambo womuenzaniso. Naizvozvo, muna muenzaniso nguva iripo divi (mbiri kana kupfuura), izvo anowanzonzi vatambi.

mhando dzose vane mamwe maitiro.

zvidzidzo

Number vatambi

nzira

Options nokuti zvinobvira zviito

mubhadharo

Exodus kunetsana (takunda kana kurasikirwa).

Game Model inogona aiwanzopiwa wokushanda kana vakawanda. Kana tine nyaya mbiri, kurwisana Man, kana zvakawanda - Multiple. Unogonawo kusarudza anopikisana yemhuka, nayo inonzi razero chitsama mutambo. wokuenzanisira ichi, umo inoponesa rimwe Vatori akaenzana kurasikirwa nomumwe.

simulation mienzaniso

Muchikamu chino, isu kutarisa simulation ose kwemasvomhu yokutevedzera. Mienzaniso mabasa anosanganisira:

  • muenzaniso simba rinomutsa zvigare;
  • muenzaniso mamorekuru, uye zvichingodaro.

Muchiitiko ichi tiri kutaura mienzaniso kuti vari pedyo zvechokwadi kwendangariro. Kazhinji, ivo sezvimwe chero chiitiko zvakasikwa. Muchiitiko chokutanga, Somuenzaniso, tinogona vatevedzere simba rinomutsa mukuwanda masvosve ari chete nyika. Zvinokwanisika kuchengeta njodzi mumwe nomumwe. Panyaya iyi, rondedzero kwemasvomhu vakashandisa kashoma, pane mashoko kakawanda zvichinzi:

  • Mazuva mashanu gare gare hadzi mazai aro;
  • makumi maviri pamazuva svosve anofa, uye zvichingodaro.

Saka simulation mienzaniso anoshandiswa kurondedzera guru hurongwa. Kwemasvomhu mhedziso - munhu kubudiswa kubva Statistical mashoko.

zvinodiwa

Zvakakosha kuziva kuti ichi mhando muenzaniso kumanikidza vamwe zvinodiwa, pakati pavo - akarongwa ari tafura pazasi.

pakawanda

Nyaya iyi kunoita kuti kushandisa muenzaniso iwoyo paanotsanangura kwakadaro mapoka chinhu. Zvakakosha kuziva kuti waifarirwa kwemasvomhu mhando regai kuvimba omuzvarirwo rebvunzo chinhu

adequacy

Zvakakosha kunzwisisa kuti pfuma Kunowanzurudza nemazvo bereka chaiwo kwendangariro. In matambudziko kushanda zviri zvikuru nenzvimbo kwemasvomhu Modelling. Muenzaniso muenzaniso kunogona romutoo optimize kushandiswa gasi hurongwa. Panyaya iyi, akaenzanisa masvomhu uye zvomene dzemitambo, somugumisiro akapupurirawo Kururama muenzaniso

kunyatsoita

Izvi zvinoreva kuti masanga tsika kuti tine dzemaitirwe pamusoro kwemasvomhu muenzaniso uye chiyamuro parameters nechinhu wedu chaiye

upfumi

The ifaniro kunyatsoshanda kuti vakasangana upi kwemasvomhu womuenzaniso, kunoratidzwa mutengo Implementation. Kana basa rinoitwa ane muenzaniso manually, unofanira kuverenga sei nguva yakawanda richaperera pamusoro kugadzirisa dambudziko achibatsirwa basa kwemasvomhu womuenzaniso. Kana totaura kombiyuta-Ichibatsirwa design, ivo indices vari dzaona nguva uye kombiyuta Gwaro

zvokukura Modelling

Kwasara kwemasvomhu Modelling itsika kusiyanisa muzvikamu zvina.

  1. Pfungwa mitemo unobatanidza mativi muenzaniso.
  2. Kudzidza matambudziko akarongeka.
  3. Yokuzvifungidzira masanga kuti yokungotaura uye dzinoshanda zvabuda.
  4. Analysis uye updating yacho muenzaniso.

Economic uye akarongeka muenzaniso

Muchikamu chino, isu muchidimbu anoratidza nyaya zvoupfumi uye akarongeka yokutevedzera. Mienzaniso mabasa anosanganisira:

  • paumbwe kugadzirwa purogiramu gadzira nyama zvigadzirwa nokuti kunonyanyisa purofiti kugadzirwa;
  • Maximizing haibatsiri sangano kuburikidza pakuverenga ari optimum huwandu kusunungurwa matafura nemacheya pane imwe fekitari fenicha, uye zvichingodaro.

Economic-kwemasvomhu womuenzaniso inomirira zvoupfumi abstraction, uko kunoratidzwa pachishandiswa kwemasvomhu mashoko uye mifananidzo.

Computer kwemasvomhu womuenzaniso

Mienzaniso kombiyuta kwemasvomhu muenzaniso uri:

  • Hydraulic dambudziko achishandisa mufurati diagrams, machati, matafura, nezvimwewo;
  • mabasa pamusoro zvikukutu Vanamakanika, uye zvichingodaro.

Computer womuenzaniso - chifananidzo chinhu kana hurongwa, chiri muchimiro:

  • tafura;
  • flowchart;
  • machati;
  • Graphics, uye zvichingodaro.

Uyezve, muenzaniso uyu inoratidza marongerwo uye mamiriro ukama.

Kuvakwa zvoupfumi uye akarongeka muenzaniso

Isu kare kuti muenzaniso kwoupfumi-kwemasvomhu kwakadaro. Muenzaniso kugadzirisa dambudziko ichakurukurwa zvino. Tinofanira kuita kuongorora chirongwa kurimwa nokuda kuziva reserves kuwedzera purofiti vari kuwanda fura.

Zvizere funga dambudziko, isu hatingazvirumbidzi chete kuvaka kwemasvomhu ezvoupfumi yokutevedzera. Chokuratidza zvinangwa zvedu - batsiro maximization. Ipapo basa iri sezvinotevera: A = p1 + p2 * x1 * x2 ... achirapa kufadza. In womuenzaniso ichi, p - kunobatsireiko pa Unit, X - ndiyo nhamba vezvikwata anobudiswa. Uyezve, inobva kuvakwa womuenzaniso, zvinokosha kuti Masvomhu, uye nokupfupisa.

Muenzaniso pavakwe nyore kwemasvomhu muenzaniso

Task. Rybak akadzokera zvinotevera hove:

  • 8 hove - vagere nechokuchamhembe mumakungwa;
  • 20% of hove - Southern gungwa vagari;
  • kubva zvomunharaunda rwizi haana kuwanikwa hove imwe chete.

Vangani hove yaakanga atenga muchitoro?

Saka, muenzaniso kwemasvomhu muenzaniso dambudziko iri sezvinotevera. Rinoratidza uwandu hove kuti x. Zvichitevera ezvinhu, 0.2 × - inhamba hove mupenyu kumaodzanyemba latitudes. Zvino isu sangana iripo mashoko ose uye kuwana kwemasvomhu muenzaniso dambudziko: x = 0.2 × 8 +. We vagadzirise mukana wokuti vanhu vanga uye kuwana mhinduro yomubvunzo chikuru: 10 hove raakanga atenga muchitoro.

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