
opttimal computing bajatt alokkeshan

computer shaasthrathil, opttimal computing bajatt alokkeshan (oo. sii. bii. eiii) ennathu opttimal theerumaanam kandethunnathinulla mothatthilulla simuleshan karyakshamatha paramavadhi vardhippikkunnathinulla oru sameepanamaan. 1990kalude madhyathil doow. chunn-hung chenn.
thannirikkunna oru koottam paaraamettarukalil sveekaaryamo mikachatho aaya phalangal labhikkunnathin aavashyamaaya replicationukalude ennamo simuleshan samayamo osiba nirnnayikkunnu. opttimal alokkeshante ghadana vishakalanam cheiyunnathinu oru asymptotic chattakkood upayogichaanu ithu poortthiyaakkunnathu. 
nirnnayakamaaya aagola opttimaiseshan prasnangal pariharikkunnathinulla partition adisthaanamaakkiyulla kramarahithamaya thirayal algorithangal mechappeduthunnathilum osiba phalapradamaanennu kaanichittundu.
avabodhajanyamaaya vishadeekaranam.
mikacha badal thiranjedukkunnathinu nirnaayaka badalukal maathram ulppede dhaaraalam simulationukal pravarthippikkunnathinni chittayaya sameepanam nalkuka ennathaanu osibayude lakshyam. 
mattoru vidhathil paranjaal, ookba ettavum nirnayakamaaya badalukalude oru bhaagath maathrame shradha kendreekarikkunnulla, ithu kanakkukoottal samayam kuraykkukayum eee nirnaayaka esttimettarmaarude vyathiyanangal kuraykkukayum cheiyunnu. prathekshikkunna phalam aavashyamaaya krithyatha nilanirthunnu, athesamayam kuranja alavil jolie aavasyamaanu. 
udaaharanathinu, anchu badalukalkkidayil namukk oru lalithamaaya simuleshan srishtikkaan kazhiyum. kuranja sharashari kaalathamasa samayamulla oru badal thiranjedukkuka ennathaanu lakshyam. chuvadeyulla chithram praadhamika simuleshan phalangal kaanikkunnu (i.iii. aavashyamaaya ennam simuleshan replicationukalude oru bhagam maathram pravarthippichirikkunnu). badal 2,3 ennivaykku kaalathamasam samayam ganyamaayi kuravaanennu vyakthamaan (chuvappil hailait cheythirikkunnu). kanakkukoottal chelavu laabhikkunnathin (athaayath samayam, vibhavangal, simuleshan pravarthippikkunnathinu panam) badal 2,3 ennivaykku kooduthal pakarppukal aavasyamaanennum phalangalil vittuveezhcha cheyyaathe 1,4,5 ennivaykku simuleshan valare neratthe nirthaamennum osiba nirddeshikkunnu.
prashnam.
sariyaaya thiranjeduppinte (pisi) saadhyatha paramavadhi vardhippikkuka ennathaanu osibayude pradhana lakshyam. τ" enna saambilinginte oru nischitha ghattatthinte sample bajattin vidheyamaan pisikal.
eee saahacharyathil formula _ 2 motham computational chelavinte pratheekamaanu.
osibayude chila vipuleekaranangal.
chila prasnangalil oru saambilil ettavum mikacha badal ariyuka mathramalla, mikacha 5,10 allengil 50 polum ariyendathu pradhaanamaanennu mekhalayile vidagdhar vishadeekarikkunnu, kaaranam theerumaanamedukkunnayaalkal simuleshanil maathrkayaakkaatha theerumaanathe baadhichekkaavunna mattu aashankakal undakam. 
sectman aandu usession (2008) parayunnathanusarichu, saadhyataa nirnaya prasnangalkkum okba sahaayakamaan. ivideyaanu theerumaanamedukkunnavarkku asaadhyamaayavayil ninnu saadhyamaaya badalukal verthirichariyaan maathrame thaalpparyamulloo. koodaathe, lalithavum ennaal prakadanatthil samanavumaaya oru badal thiranjedukkunnathu mattu theerumaanamedukkunnavare sambandhichidatholam nirnaayakamaan. eee saahacharyathil, ettavum mikacha oopshan ettavum lalithamaaya badalukalil onnaanu, avarude prakadanam aavasyamulla thalangalekkaal mukalilaanu. 
koodaathe, trailovic aandu paavo (2004) oru okba sameepanam prakadippikkunnu, avide mikacha sharaasharikk pakaram minimum vyathyasamulla badalukal njangal kandethunnu. ivide, ookba niyamam raddaki (vyathiyanangal ariyaamenn karuthuka) anjjaathamaaya vyathiyanangal nammal anumaanikkunnu. 2010ll tii vitharanathe adisthaanamaakkiyulla oru osiba algorithathekkurichu gaveshanam nadatthi. tii-vitharanavum saadhaarana vitharanavum thammil kaaryamaaya vyathyasangalonnum phalangal kanikkunnilla. mukalil avatharippicha osibayude vipuleekaranangal oru samboornna pattikayalla, mathramalla ithu ithuvare poornnamaayum paryavekshanam cheyyukayum samaharikkukayum cheythitilla.
multy-objective oo. sii. bii. eiii.
multy-opttimal computing bajatt alokkeshan (mokba) multy-opttimal prashnangalkk baadhakamaaya okba aashayamaanu. oru saadhaarana mokbayil, pisikale ingane nirvachikkunnu
soothravaakyam _ 3
athil
sariyaaya oru paretto settu thirichariyunnathinulla type I error formula _ 11, type II error formula _ 12 enniva yathaakramam aanennu nammal shradhikkunnu.
formula _ 13 umm formula _ 14 umm.
koodaathe, ithu theliyikkaan kazhiyum
soothravaakyam _ 15
oppam
soothravaakyam _ 16
ivide formula _ 17 ennathu lakshyangalude ennamaanu, formula _ 18 pinn vitharana formula _ 19 pinthudarunnu
formula _ 20 umm formula _ 21 umm design formula _ 8-nte objective formula _ 22-nulla nireekshicha prakadana nadapadikalude sharashari, staanderd vyathiyaanamaanennum formula _ 24 nireekshanangalude ennamaanennum addeham abhiprayappettu.
athinaal, soothravaakyam _ 25 paramavadhi vardhippikkunnathinaparum, namukk athinte lover boundu, i paramavadhi vardhippikkaan kazhiyum.iii.formula _ 26, formula _ 27 ennu karuthumbol, inipparayunna niyamangal avasaanippikkaan lagranch reethi prayogikkaam
soothravaakyam _ 28
athil
formula _ 33
soothravaakyam _ 34
soothravaakyam _ 35
soothravaakyam _ 36
soothravaakyam _ 37
soothravaakyam _ 38
soothravaakyam _ 39
soothravaakyam _ 40
parimithamaaya opttimaiseshan.
munbathe vibhaagathin samaanamaayi, onniladhikam prakadana nadapadikalulla niravadhi saahacharyangalund. onniladhikam prakadana nadapadikal thulya praadhaanyamullathaanenkil, theerumaanamedukkunnavarkku mokba upayogikkaam. mattu saahacharyangalil, theerumaanamedukkunnavarkku opttimais cheyyenda oru praadhamika prakadana alavu undu, athesamayam dvitheeya prakadana nadapadikal chila paridikalaal parimithappedutthiyirikku. 
praadhamika prakadana alavine pradhana lakshyam ennum dvitheeya prakadana alavukale niyanthrana alavukal ennum vilikkam. ithu parimithamaaya opttimaiseshan prashnathilekku veezhunnu. badal maarggangalude ennam nischayikkumbol, pradhana lakshyavum niyanthrana nadapadikalum yaadruchikamaaya simuleshaniloode kanakkaakkendathund ennathinaal saadhyamaaya ettavum mikacha design thiranjedukkuka ennathaanu lakshyam. parimithamaaya optimaiseshanulla okba reethi (okba-qoo ennu vilikkunnu) poojovidianto muthalaayavayil kaanam. (2009), liie thudangiyava. (2012).
pradhana maattam pisikalude nirvachanathilaanu. parimithamaaya optimaiseshanil rund gadakangalundu, athaayath optimaalitti, saadhyatha. thalphalamaayi, opttimaalittiyudeyo saadhyathayudeyo adisthaanathil oro mikachathallaatha roopakalppanaykkum simuleshan bajatt anuvadikkaan kazhiyum. mattoru vidhathil paranjaal, saadhyamallaathathum saadhyamaaya ettavum mikacha roopakalppanayekkaal moshavumaaya oru design nilanilkkukayaanenkil, ettavum mikachathallaatha oru design ettavum mikacha designaayi thettayi thiranjedukkappedilla. design mikachathinekkaal moshamaanengil saadhyataa nirnnayikkaan bajattinte valiyoru bhagam chelavazhikkendathilla ennathaanu ashayam. athupole, pradhana lakshyathinte kaaryatthil design ithinakam thanne mikachathaanenkil saadhyataa adisthaanathil bajatt neekkivechukondu namukk bajatt labhikkaan kazhiyum.
saadhyataa nirnayam.
eee prashnatthinte lakshyam parimithamaaya design badalukalil ninnu saadhyamaaya ellah designukalum nirnnayikkuka ennathaanu, avide saadhyamaaya designukale avayude prakadana alavukal upayogichu nirddishta niyanthrana aavasyakathakal thripthippeduthunna designukalaayi nirvachikkunnu.
(parimithikal). saadhyamaaya ellah designukalum thiranjedutthaal, mattu prakadana parigananakal ulppeduthi theerumaanamedukkunnayaalkal eluppathil anthima theerumaanam edukkaan kazhiyum (udha.jii., chelavu polulla nirnnayaka maanadandangal, allengil ganithashaasthraparamaayi vilayiruthaan prayaasamulla gunaparamaaya maanadandangal). saadhyataa nirnaya prashnatthil yaadruchikamaaya parimithikalum ulppedunnundengilum, mukalil avatharippicha parimithamaaya opttimaiseshan prasnangalil ninnu ithu vyathyasthamaan, kaaranam saadhyamaaya ettavum mikacha onninu pakaram saadhyamaaya ellah designukalum thirichariyaan ithu lakshyamidunnu.
nirvachikkuka
ellah niyanthranangalum formula _ 59, formula _ 60 roopathilaanu nalkiyittullathenn karuthuka. saadhyamaaya ellah designukalum shariyaayi thiranjedukkaanulla saadhyatha
saadhyataa nirnnayathinulla bajatt vihita prashnam gavo chenum (2017) nalkunnu.
formula _ 63 umm formula _ 64 umm. asymptotic opttimal bajatt alokkeshan niyamam ithaanu
avabodhapoorvvam paranjaal, melpparanja alokkeshan niyamam parayunnath (1) oru praayogika roopakalppanaykku, ellah parimithikalilum ninnu shariyaayi kandethuka ettavum budhimuttulla onnaanu prabalamaaya niyanthranam; (2) asaadhyamaaya roopakalppanaykku, ellah parimithikalilum ninnu shariyaayi kandethuka ettavum eluppamullathaanu prabalamaaya niyanthranam.
prathekshikkunna avasarachelavinoppam oo. sii. bii. eiii.
yadhaartha osiba mikacha roopakalppanayude sariyaaya thiranjeduppinte (pisi) saadhyatha paramavadhi vardhippikkunnu. praayogikamaayi, mattoru pradhana alavaanu prathekshikkunna avasara chelavu (iosi), ithu thiranjeduttha roopakalppanayude sharashari yadhaartha mikachathil ninnu ethra akaleyaanennu alakkunnu. eee nadapadi pradhaanamaan, kaaranam iosi opttimais cheiyunnathu mikacha design thiranjedukkaanulla saadhyatha paramavadhi vardhippikkuka mathramalla, mikacha design kandethunnathil parajayappettaal thiranjeduttha designinte sharashari mikacha designil ninnu valare akaleyallennu urappakkukayum cheiyunnu. computerukalumaayi thaarathamyappeduthumbol, iosi alpam thettaaya thiranjeduppinekkaal prathyekichu mosham thiranjeduppine shikshikkunnu, athinaal risk-neutral pariseelakarkkum theerumaanamedukkunnavarkkum ithu ishtamaanu.
prathyekichum, prathekshikkunna avasara chelavu
evide,
iosi objective alavilulla bajatt alokkeshan prashnam gavo mattullavarum nalkunnu. (2017)
ivide formula _ 54 ennathu formula _ 8 roopakalppana cheyyaan anuvadicha motham simuleshan bajattinte anupaathamaan.
ellah soothravaakyangalkkum nammal soothravaakyam _ 77 anumaanikkukayaanenkil, eee prashnathinulla asymptotic opttimal bajatt alokkeshan niyamam ithaanu
ivide formula _ 80 ennathu design formula _ 8-nte simuleshan saambilukalude vyathyaasamaan. eee alokkeshan niyamam prashnatthinte asymptotic opttimal parihaarathinu thulyamaanu (1). athaayath, rogalakshanangalillathe paranjaal, pisi paramavadhi vardhippikkunnathum iosi kuraykkunnathum onnuthanneyaanu.
inputt anishchithathvathodukoodiya oo. sii. bii. eiii.
melpparanja oo. sii. bii. eiii reethikalude oru parokshamaaya anumaanam yadhaartha inputt vitharanangalum avayude paaraamettarukalum ariyappedunnu ennathaanu, athesamayam praayogikamaayi avaa saadhaaranayaayi anjjaathamaanu, mathramalla parimithamaaya charitraparamaaya daattayil ninnu kanakkaakkendathund. ithu kanakkakkiya inputt vitharanangalilum avayude paaraamettarukalilum anishchithathvathilekku nayichekkaam, ithu thiranjeduppinte gunanilavaaratthe (saaramaayi) baadhichekkaam. anishchithathva settil adisthaana inputt vitharanagalkkum paaraamettarukalkkumaayi parimithamaaya ennam saahacharyangal adangiyirikkunnuvennu karuthuka, gavo thudangiyava. (2017) oru nischitha simuleshan bajattin keezhil mikacha design shariyaayi thiranjedukkaanulla saadhyatha paramavadhi vardhippichukondu oru puthiya osiba sameepanam avatharippikkunnu, avide anishchithathva settile saadhyamaaya ellah saahacharyangalilum oru designinte prakadanam athinte ettavum mosham prakadanam upayogichu alakkunnu.
osibayude web adhishtitha pradarshanam.
thaazhe koduthirikkunna link oru lalithamaaya udaaharanam upayogichu oru osiba pradarshanam nalkunnu. demoyil, parambaraagatha thulya vihita sameepanavumaayi thaarathamyappeduthumbol computing bajatt vyathyasthamayi osiba nirvahikkukayum anuvadikkukayum cheiyunnu.