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gadawyvetilebis miReba ierarqiis analizis meTodiT
[object Object]
amerikelma mecnierma  tomas saatim  Cvens codvaSi Cadga fexi da daamuSava midgoma romlis mixedviTac  gadawyvetilebis miRebis procesi  warmoidgineba ierarqiis saxiT.
I done menejeris mizani II done kriteriumebi III done alternetivebi daaxloebiT ase iwvala saatim
problemis gadaWris sami etapi I etapi: kriteriumebis prioritetebis mixedviT dalageba ,[object Object],[object Object]
saatis Skala situacia roca saWiroa kompromisi Sualeduri mniSvnelobebi or mezobel msjelobebs Soris 2, 4, 6, 8 erT alternativas meoresTan SedarebiT gaaCnia aSkara upirateso-ba absoluturi upiratesoba 9 erTi alternativis upiratesoba meoresTan SedarebiT eWvs ar iwvevs cxadi upiratesoba 7 gamocdileba da msjeloba iZleva erTi alternativis arsebitT upiratesobas meoresTan SedarebiT arsebiTi upiratesoba 5 erT alternativas gaaCnia araarse-biTi upiratesoba meoresTan Seda-rebiT araarsebiTi mniSvneloba 3 orive alternativas miznis misaR-wevad Seaqvs erTnairi wyvili erTnairi mniSvneloba 1 axsna gansazRvreba fardobiTi mniSvnelobebis intensivoba
[object Object],menejeri iwvevs eqsperts romelic  pirvel etapze  alagebs kriteriumebs prioritetebis mixedviT, xolo  meore etapze  afasebs erTi alternativis upiratesobis xarisxs sxvebTan SedarebiT yoveli kriteriumis mixedviT da TviT kriteriumebis upiratesobis xarisxsac.
wyvil-wyvilad  Sedarebis  matrica ,[object Object],[object Object],[object Object],[object Object],[object Object]
kolejis kursdamTavrebuls SesTavazes samuSao adgili sam ( α , β , γ ) firmaSi. cota xnis fiqris Semdeg mas Camouyalibda Semdegi kriteriumebi 1.kolegebi 2.Tanamdeboba 5.adgilmdebareoba 6.dawinaureba zrda 3.reputacia , imiji 4.Semosavali
kmayofileba samuSaoTi α β γ I done: mizani II done: kriteriumebi III done: alternativebi Tanamdeboba kolegebi dawinaureba zrda mdebareoba reputacia Semosavali
am amocanaSi n  = 3  (alternativebis raodenoba) m  = 6  (kriteriumebis raodenoba) eseigi man unda Seavsos  m +1=7  wyvil wyvilad   Sedarebis matrica :  B, A 1 , A 2 ,  ...,A 6 .  matricebis Sevsebisas is xelmZRvanelobda saatis skaliT da miiRo Sesabamisi matrica Sesabamisi wonebis veqtorebiT
kriteriumebis wonis veqtoris miReba 1 3 3 3 2 1/4 6 4 1 5 6 3 1 5 1/3 1/5 1 2 2 1/3 4 1/3 1/6 1/2 1 1/4 1/8  3 1/2 1/3 1/2 4 1 1/3 2 4 1 3 8 3 1 1 6 5 4 3 2 1 B=
wonis veqtoris miReba ,[object Object],[object Object],[object Object],[object Object],[object Object],j=1,2,...,n Σ   S 1  S 2   S 3   S 4   S 5   S 6
I. etapi ,[object Object],i,j=1,2,...,n
vadgenT wonis veqtors sadac
II etapi: TiToeuli kriteriumis mixedviT wonebis veqtorebis miReba ,[object Object],|| || || S 1 S 2 S 3 S 1 =1+1/2+3= 9/2 S 2 =2+1+2= 5 S 3 =1/3+1/2+1= 11/6 vipovoT svetebis elementTa jamebi
maSin Σ =d 1 Σ =d 2 Σ =d 3 d 1 =2/9+2/5+2/11= 398/495 d 2 =1/9+1/5+3/11= 289/495 d 3 =6/9+2/5+6/11= 798/495 sabolood miviRebT radgan gvaqvs 3 alternativa vyofT samze
2)  kriteriumi: “Semosavali” miviRebT
3)   kriteriumi “kolegebi” miviRebT
4)   kriteriumi “adgilmdebareoba” miviRebT
5)   kriteriumi “reputacia ” miviRebT
6)   kriteriumi “Tanamdeboba” miviRebT
[object Object],SevadginoT   V  matrica, romlis striqonebia miRebuli   veqtorebi
axla ganvixiloT  U  veqtorisa da  V  matricis namravli
miviReT alternativebis integraluri SefasebaTa wonis veqtori e.i yvelaze didi wona aqvs  γ  alternativas. amitom kolejis kursdamTavrebuli iRebs gadawyvetilebas    firmaSi muSaobis Sesaxeb.  aRvniSnoT, rom   - s upiratesoba aqvs  α -ze koeficientiT  w 3 /w 1 =1.2 da  β -ze  w 3 /w 2 =1.4
menejeris mizani kriteriumebi alternativebi III I II II II III III III
I  kriteriumiT  nxn
 
 
[object Object],- I kriteriumiT yvela alternativis Sefaseba -II kriteriumiT yvela alt.-is Sefaseba - i -uri kriteriumiT yvela alt.-is Sefaseba - m  -uri kriteriumiT yvela alt.-is Sefaseba ) ... ( ) ... ( ) ... ( ) ... ( , , 2 , 1 , , 2 , 1 2 , , 22 , 21 2 1 , , 12 , 11 1 mn m m m in i i i n n v v v V v v v V v v v V v v v V          
pirveli alternativis Sefasebis veqtori II alternativis Sefasebis veqtori j -uri alternativis Sefasebis veqtori n -uri alternativis Sefasebis  veqtori I alternativis Sefasebis veqtori
k -uri alternativis Sefaseba  i -uri kriteriumi cxadia: 1 , ,..., 1 ,   ,..., 1 , 0 1       n k V ik n k m i V ik
-veqtorisa da  V  matricis gadamravlebiT vadgenT SefasebaTa wonis veqtors
yvela alternativis integraluri Sefasebis  safuZvelze menejeri iRebs gadawvetilebas alternativis arCevis Sesaxeb (airCeva maqsimaluri komponentis Sesabamisi  alternativa)
vin ver gaigo???
 
 

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Matematika

  • 2.
  • 3. amerikelma mecnierma tomas saatim Cvens codvaSi Cadga fexi da daamuSava midgoma romlis mixedviTac gadawyvetilebis miRebis procesi warmoidgineba ierarqiis saxiT.
  • 4. I done menejeris mizani II done kriteriumebi III done alternetivebi daaxloebiT ase iwvala saatim
  • 5.
  • 6. saatis Skala situacia roca saWiroa kompromisi Sualeduri mniSvnelobebi or mezobel msjelobebs Soris 2, 4, 6, 8 erT alternativas meoresTan SedarebiT gaaCnia aSkara upirateso-ba absoluturi upiratesoba 9 erTi alternativis upiratesoba meoresTan SedarebiT eWvs ar iwvevs cxadi upiratesoba 7 gamocdileba da msjeloba iZleva erTi alternativis arsebitT upiratesobas meoresTan SedarebiT arsebiTi upiratesoba 5 erT alternativas gaaCnia araarse-biTi upiratesoba meoresTan Seda-rebiT araarsebiTi mniSvneloba 3 orive alternativas miznis misaR-wevad Seaqvs erTnairi wyvili erTnairi mniSvneloba 1 axsna gansazRvreba fardobiTi mniSvnelobebis intensivoba
  • 7.
  • 8.
  • 9. kolejis kursdamTavrebuls SesTavazes samuSao adgili sam ( α , β , γ ) firmaSi. cota xnis fiqris Semdeg mas Camouyalibda Semdegi kriteriumebi 1.kolegebi 2.Tanamdeboba 5.adgilmdebareoba 6.dawinaureba zrda 3.reputacia , imiji 4.Semosavali
  • 10. kmayofileba samuSaoTi α β γ I done: mizani II done: kriteriumebi III done: alternativebi Tanamdeboba kolegebi dawinaureba zrda mdebareoba reputacia Semosavali
  • 11. am amocanaSi n = 3 (alternativebis raodenoba) m = 6 (kriteriumebis raodenoba) eseigi man unda Seavsos m +1=7 wyvil wyvilad Sedarebis matrica : B, A 1 , A 2 , ...,A 6 . matricebis Sevsebisas is xelmZRvanelobda saatis skaliT da miiRo Sesabamisi matrica Sesabamisi wonebis veqtorebiT
  • 12. kriteriumebis wonis veqtoris miReba 1 3 3 3 2 1/4 6 4 1 5 6 3 1 5 1/3 1/5 1 2 2 1/3 4 1/3 1/6 1/2 1 1/4 1/8 3 1/2 1/3 1/2 4 1 1/3 2 4 1 3 8 3 1 1 6 5 4 3 2 1 B=
  • 13.
  • 14.
  • 16.
  • 17. maSin Σ =d 1 Σ =d 2 Σ =d 3 d 1 =2/9+2/5+2/11= 398/495 d 2 =1/9+1/5+3/11= 289/495 d 3 =6/9+2/5+6/11= 798/495 sabolood miviRebT radgan gvaqvs 3 alternativa vyofT samze
  • 18. 2) kriteriumi: “Semosavali” miviRebT
  • 19. 3) kriteriumi “kolegebi” miviRebT
  • 20. 4) kriteriumi “adgilmdebareoba” miviRebT
  • 21. 5) kriteriumi “reputacia ” miviRebT
  • 22. 6) kriteriumi “Tanamdeboba” miviRebT
  • 23.
  • 24. axla ganvixiloT U veqtorisa da V matricis namravli
  • 25. miviReT alternativebis integraluri SefasebaTa wonis veqtori e.i yvelaze didi wona aqvs γ alternativas. amitom kolejis kursdamTavrebuli iRebs gadawyvetilebas  firmaSi muSaobis Sesaxeb. aRvniSnoT, rom  - s upiratesoba aqvs α -ze koeficientiT w 3 /w 1 =1.2 da β -ze w 3 /w 2 =1.4
  • 26. menejeris mizani kriteriumebi alternativebi III I II II II III III III
  • 28.  
  • 29.  
  • 30.
  • 31. pirveli alternativis Sefasebis veqtori II alternativis Sefasebis veqtori j -uri alternativis Sefasebis veqtori n -uri alternativis Sefasebis veqtori I alternativis Sefasebis veqtori
  • 32. k -uri alternativis Sefaseba i -uri kriteriumi cxadia: 1 , ,..., 1 , ,..., 1 , 0 1       n k V ik n k m i V ik
  • 33. -veqtorisa da V matricis gadamravlebiT vadgenT SefasebaTa wonis veqtors
  • 34. yvela alternativis integraluri Sefasebis safuZvelze menejeri iRebs gadawvetilebas alternativis arCevis Sesaxeb (airCeva maqsimaluri komponentis Sesabamisi alternativa)
  • 36.  
  • 37.