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s t P r t tr rt - - PDF document

Jul 28, 2023 118 likes •386 views

s t P r t tr rt r rst rst trt sr

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SLIDE 1

❉♦❡s ✐t P❛② ❋♦r ❲♦♠❡♥ t♦ ❱♦❧✉♥t❡❡r❄ ❘♦❜❡rt ❙❛✉❡r ❯♥✐✈❡rs✐t② ♦❢ ❇r✐st♦❧

✶

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SLIDE 2

■♥tr♦❞✉❝t✐♦♥

  • ▼❡❛s✉r❡ ❡❝♦♥♦♠✐❝ ❛♥❞ ♥♦♥✲❡❝♦♥♦♠✐❝ r❡✲

t✉r♥s t♦ ✈♦❧✉♥t❡❡r✐♥❣

  • ❱♦❧✉♥t❡❡r✐♥❣ ✇✐❞❡s♣r❡❛❞ ❜✉t ♥♦t ②❡t ✇❡❧❧

✉♥❞❡rst♦♦❞ ✕ ✸✸✪ ♦❢ ❯❙ ❛❞✉❧t ♣♦♣✉❧❛t✐♦♥ ✈♦❧✉♥t❡❡r❡❞ ✐♥ ♣r❡✈✐♦✉s ②❡❛r ✭✷✵✵✺ P❙■❉✮ ✕ ❤✐❣❤ ♣❡r❝❡♥t❛❣❡s ❢♦✉♥❞ ✐♥ ♦t❤❡r ❞❛t❛ s❡ts ✐♥ ❯❙ ❛♥❞ ❊✉r♦♣❡ ✭❖❊❈❉✮

  • ❉❡❡♣❡r ✉♥❞❡rst❛♥❞✐♥❣ ❝♦✉❧❞ ❤❡❧♣ ❡❝♦♥♦♠✐sts

❛♥t✐❝✐♣❛t❡ ❜❡❤❛✈✐♦r❛❧ r❡s♣♦♥s❡s t♦ ✕ ❝❤❛♥❣❡s ✐♥ ❡❝♦♥♦♠✐❝ ❢✉♥❞❛♠❡♥t❛❧s ✕ ♥❡✇ ❣♦✈❡r♥♠❡♥t ♣♦❧✐❝② ♣r♦♣♦s❛❧s

✷

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SLIDE 3
  • ❍♦✇ ✇♦✉❧❞ ✈♦❧✉♥t❡❡r✐♥❣ r❡❛❝t t♦ ❧♦✇❡r ♦♣✲

♣♦rt✉♥✐t② ❝♦sts ♦❢ t✐♠❡ ✐♥ ❡❝♦♥♦♠✐❝ ❞♦✇♥✲ t✉r♥❄

  • ❉♦❡s ✈♦❧✉♥t❡❡r✐♥❣ ✐♠♣r♦✈❡ ❢✉t✉r❡ ❧❛❜♦r ♠❛r✲

❦❡t ♦♣♣♦rt✉♥✐t✐❡s❄ ✕ ❛ss✉♠❡❞ ✐♥ ♠♦st ✇❡❧❢❛r❡✲t♦✲✇♦r❦ ♣r♦✲ ❣r❛♠s

  • ❍♦✇ ✇♦✉❧❞ ✈♦❧✉♥t❡❡r✐♥❣ r❡s♣♦♥❞ t♦ ♠♦♥❡✲

t❛r② ✐♥❝❡♥t✐✈❡s❄ ✕ ❯❙ t❛① ❝♦❞❡ tr❡❛ts t✐♠❡ ❛♥❞ ♠♦♥❡② ❛s②✲ ♠❡tr✐❝❛❧❧② ✕ ❲♦✉❧❞ t❛① ✐♥❝❡♥t✐✈❡s ❤❡❧♣ ❛❝❤✐❡✈❡ ❯❑ ❇✐❣ ❙♦❝✐❡t②❄

  • ❆♥s✇❡rs r❡q✉✐r❡ ❡st✐♠❛t❡s ♦❢ ❡❝♦♥♦♠✐❝ ❛♥❞

♥♦♥✲❡❝♦♥♦♠✐❝ r❡t✉r♥s

✸

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SLIDE 4

Pr❡✈✐♦✉s ▲✐t❡r❛t✉r❡

  • ❍✐❣❤❧✐❣❤ts t✇♦ ❞✐st✐♥❝t ♠♦t✐✈❡s ❢♦r ✈♦❧✉♥✲

t❡❡r✐♥❣ ✕ ❝♦♥s✉♠♣t✐♦♥ ♠♦t✐✈❡ ✭✇❛r♠ ❣❧♦✇✮ ✕ ✐♥✈❡st♠❡♥t ♠♦t✐✈❡ ✭❢✉t✉r❡ ❡❛r♥✐♥❣s✮

  • ▼❡♥❝❤✐❦ ❛♥❞ ❲❡✐s❜r♦❞ ✭✶✾✽✼✮

✕ ❛♥❛❧②③❡ ❡❛❝❤ ♠♦t✐✈❡ ✐♥ ✐s♦❧❛t✐♦♥ ✕ ♦♣♣♦rt✉♥✐t② ❝♦st ♦❢ t✐♠❡ s✉❜st❛♥t✐❛❧

  • ❋r❡❡♠❛♥ ✭✶✾✾✼✮

✕ ❞♦❡s ♥♦t ❛❞❞r❡ss ✐♥✈❡st♠❡♥t ♠♦t✐✈❡ ✭q✉❡s✲ t✐♦♥s ❝♦♥s✉♠♣t✐♦♥ ♠♦t✐✈❡✮ ✕ ♦♣♣♦rt✉♥✐t② ❝♦st ♦❢ t✐♠❡ ♥♦t s✉❜st❛♥t✐❛❧

✹

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SLIDE 5
  • Pr♦❜❧❡♠s ✇✐t❤ ♣r❡✈✐♦✉s ❧✐t❡r❛t✉r❡

✕ ❢✉t✉r❡ ♠♦♥❡t❛r② ♣❛②♦✛ ♥♦t t❛❦❡♥ ✐♥t♦ ❛❝❝♦✉♥t ✭❞❛t❛ ❧✐♠✐t❛t✐♦♥s✮ ✕ ❡❛r♥✐♥❣s ✐♥ ♣❛✐❞ ❡♠♣❧♦②♠❡♥t ❡①♦❣❡♥♦✉s ✭❜✐❛s❡❞ ♦♣♣♦rt✉♥✐t② ❝♦st ♦❢ t✐♠❡✮ ✕ ✐❣♥♦r❡ ❡♥❞♦❣❡♥❡✐t② ♦❢ ♥♦♥✲❧❛❜♦r ✐♥❝♦♠❡ ❛♥❞ ❢❛♠✐❧② ❝♦♠♣♦s✐t✐♦♥

  • ❚❤✐s ♣❛♣❡r

✕ ♣♦st✲✈♦❧✉♥t❡❡r✐♥❣ ❡❛r♥✐♥❣s ❛✈❛✐❧❛❜❧❡ ❛s ✇❡❧❧ ❛s tr❛♥s✐t✐♦♥s ✭❜❡tt❡r ❞❛t❛✮ ✕ s✐♠✉❧t❛♥❡♦✉s❧② ❞❡❝✐❞❡ ♦♥ ✇♦r❦ ❢♦r ♣❛②✴♥♦ ♣❛②✱ ♠❛rr✐❛❣❡ ❛♥❞ ❢❡rt✐❧✐t② ✕ ♥❡✇ ❡♠♣✐r✐❝❛❧ str❛t❡❣② t❤❛t ♥❡sts ❜♦t❤ ♠♦t✐✈❡s ✐♥ ♦♥❡ ♠♦❞❡❧

✺

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SLIDE 6

❖✉t❧✐♥❡

  • ❉❛t❛
  • ❉❈❉P ♠♦❞❡❧ ✭✐♥ s♣✐r✐t ♦❢ ❑❡❛♥❡ ❛♥❞ ❲♦❧♣✐♥

✭✷✵✶✵✮✮

  • ❙tr✉❝t✉r❛❧ ❡st✐♠❛t✐♦♥ ♠❡t❤♦❞ ✭❡①t❡♥❞s ❑❡❛♥❡

❛♥❞ ❲♦❧♣✐♥ ✭✷✵✵✶✮✱ ❑❡❛♥❡ ❛♥❞ ❙❛✉❡r ✭✷✵✶✵✮✮

  • ❊st✐♠❛t✐♦♥ ❘❡s✉❧ts

✕ ❡❝♦♥♦♠✐❝ ❛♥❞ ♥♦♥✲❡❝♦♥♦♠✐❝ r❡t✉r♥s ✕ s❡❧❡❝t✐♦♥ ✐♥t♦ ✈♦❧✉♥t❡❡r✐♥❣ ✕ r❡❧❛t✐✈❡ ✐♠♣♦rt❛♥❝❡ s✐♠✉❧❛t✐♦♥ ✕ t❛①✲❞❡❞✉❝t✐❜❧❡ ❝❤✐❧❞ ❝❛r❡ ❝♦sts s✐♠✉❧❛✲ t✐♦♥

✻

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SLIDE 7

❉❛t❛

  • P❙■❉ ✷✵✵✶✲✷✵✵✺ ❝♦♥t❛✐♥s q✉❡st✐♦♥s ♦♥ ✈♦❧✲

✉♥t❡❡r✐♥❣ ❢♦r ❝❤❛r✐t❛❜❧❡ ♦r❣❛♥✐③❛t✐♦♥s

  • ❉❡✜♥❡❞ ❛s ✏❝♦❛❝❤✐♥❣✱ ❤❡❧♣✐♥❣ ❛t s❝❤♦♦❧✱

s❡r✈✐♥❣ ♦♥ ❝♦♠♠✐tt❡❡s✱ ❜✉✐❧❞✐♥❣ ❛♥❞ r❡✲ ♣❛✐r✐♥❣✱ ♣r♦✈✐❞✐♥❣ ❤❡❛❧t❤ ❝❛r❡ ♦r ❡♠♦t✐♦♥❛❧ s✉♣♣♦rt✱ ❞❡❧✐✈❡r✐♥❣ ❢♦♦❞✱ ❞♦✐♥❣ ♦✣❝❡ ✇♦r❦✱ ♦r❣❛♥✐③✐♥❣ ❛❝t✐✈✐t✐❡s✱ ❢✉♥❞r❛✐s✐♥❣✱ ❛♥❞ ♦t❤❡r ❦✐♥❞s ♦❢ ✇♦r❦ ❞♦♥❡ ❢♦r ♥♦ ♣❛②✳✑

  • ❘❡str✐❝t t♦ ✇❤✐t❡ ✇♦♠❡♥ ❛❣❡❞ ✷✺✲✺✺ ✭✷✱✹✼✾

✇♦♠❡♥✱ ✉♥❜❛❧❛♥❝❡❞ ♣❛♥❡❧✮

  • ▼✐ss✐♥❣ ❞❛t❛ ❞✉r✐♥❣ s❛♠♣❧❡ ♣❡r✐♦❞ ✭❜✐❡♥✲

♥✐❛❧ s✉r✈❡②✮ ❛♥❞ ♥♦♥✲tr✐✈✐❛❧ ❛ttr✐t✐♦♥

✼

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SLIDE 8

❚❛❜❧❡ ✶✿ ❱♦❧✉♥t❡❡r ❍♦✉rs P❡r ❲❡❡❦ ◆♦♥✲❩❡r♦ ❱♦❧✉♥t❡❡r ❍♦✉rs ❙t❞✳ P❡r❝❡♥t✐❧❡ ❨❡❛r ✪ ❱♦❧ ▼❡❛♥ ❉❡✈✳ ✶✵ ✷✺ ✺✵ ✼✺ ✾✵ ✷✵✵✵ ✷✾✳✺ ✷✳✶✼ ✸✳✼✺ ✳✷✾ ✳✹✽ ✳✾✻ ✶✳✾✷ ✹✳✽✶ ✷✵✵✷ ✸✵✳✹ ✹✳✵✹ ✽✳✻✸ ✳✶✾ ✳✺✽ ✶✳✺✽ ✹✳✷✸ ✽✳✵✻ ✷✵✵✹ ✸✹✳✼ ✸✳✹✾ ✼✳✹✶ ✳✷✸ ✳✺✽ ✶✳✼✸ ✸✳✻✾ ✼✳✸✶ ✽

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SLIDE 9

❚❛❜❧❡ ✸✿ ❊♠♣❧♦②♠❡♥t ❈❤♦✐❝❡ ❉✐str✐❜✉t✐♦♥ ◆♦♥✲ ❱♦❧ P❚ ❋❚ P❚ ✫ ❋❚ ✫ ❲♦♠❛♥✲ ❊♠♣ ❖♥❧② ❖♥❧② ❖♥❧② ❱♦❧ ❱♦❧ ❨❡❛rs ❆❣❡ ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ✭✺✮ ✭✻✮ ✭✼✮ ✷✺✲✷✾ ✳✶✶✼ ✳✵✷✼ ✳✷✷✾ ✳✹✵✾ ✳✵✾✵ ✳✶✷✽ ✼✹✸ ✸✵✲✸✹ ✳✶✷✾ ✳✵✺✽ ✳✷✶✸ ✳✸✹✽ ✳✶✵✾ ✳✶✹✷ ✶✱✷✺✷ ✸✺✲✸✾ ✳✵✽✽ ✳✵✻✸ ✳✷✶✵ ✳✸✹✼ ✳✶✶✷ ✳✶✽✵ ✶✱✷✻✹ ✹✵✲✹✹ ✳✵✾✶ ✳✵✺✹ ✳✶✾✺ ✳✸✹✻ ✳✶✺✺ ✳✶✻✵ ✶✱✸✾✻ ✹✺✲✹✾ ✳✵✾✷ ✳✵✹✾ ✳✶✼✺ ✳✸✼✻ ✳✶✷✸ ✳✶✽✺ ✶✱✸✸✽ ✺✵✲✺✺ ✳✵✾✸ ✳✵✹✶ ✳✶✼✹ ✳✸✼✻ ✳✶✶✵ ✳✷✵✻ ✾✸✸ ✷✺✲✺✺ ✳✶✵✶ ✳✵✺✶ ✳✶✾✽ ✳✸✻✸ ✳✶✷✵ ✳✶✻✽ ✻✱✾✷✻ ✾

slide-10
SLIDE 10

❚❛❜❧❡ ✹✿ ❚✇♦✲❨❡❛r ❊♠♣❧♦②♠❡♥t ❚r❛♥s✐t✐♦♥ ▼❛tr✐① ◆♦♥✲ ❱♦❧ P❚ ❋❚ P❚ ✫ ❋❚ ✫ ❊♠♣ ❖♥❧② ❖♥❧② ❖♥❧② ❱♦❧ ❱♦❧ ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ✭✺✮ ✭✻✮ ◆♦♥✲ ✳✹✾✻ ✳✶✺✼ ✳✶✽✻ ✳✵✽✷ ✳✵✺✻ ✳✵✷✷ ❊♠♣ ❱♦❧ ✳✶✺✾ ✳✹✸✾ ✳✵✼✵ ✳✵✸✼ ✳✷✷✾ ✳✵✻✺ ❖♥❧② P❚ ✳✵✾✼ ✳✵✷✹ ✳✹✸✶ ✳✷✻✻ ✳✶✷✵ ✳✵✻✸ ❖♥❧② ❋❚ ✳✵✺✹ ✳✵✵✾ ✳✶✹✻ ✳✻✶✼ ✳✵✸✹ ✳✶✹✵ ❖♥❧② P❚ ✫ ✳✵✹✷ ✳✵✻✻ ✳✶✾✽ ✳✶✵✻ ✳✹✷✹ ✳✶✻✹ ❱♦❧✉♥t❡❡r ❋❚ ✫ ✳✵✷✷ ✳✵✶✺ ✳✵✼✺ ✳✷✼✸ ✳✶✷✷ ✳✹✾✷ ❱♦❧✉♥t❡❡r ✶✵

slide-11
SLIDE 11

❚❛❜❧❡ ✺✿ ▲✐♥❡❛r Pr♦❜❛❜✐❧✐t② ▼♦❞❡❧s ✇✐t❤ ❘❛♥❞♦♠ ❊✛❡❝ts ❱♦❧✉♥t❡❡r ▼❛rr✐❡❞

  • ✐✈❡ ❇✐rt❤

✭✶✮ ✭✷✮ ✭✸✮ ❈♦♥st❛♥t ✲✳✼✵✶ ✲✶✳✵✸✺ ✳✸✸✼ ✭✳✶✻✽✮ ✭✳✶✹✷✮ ✭✳✶✶✸✮ ■✭✶✷❁❊❞✉❝❁✶✻✮ ✳✷✸✼ ✳✵✾✼ ✳✵✷✸ ✭✳✵✷✶✮ ✭✳✵✷✽✮ ✭✳✵✵✾✮ ■✭❊❞✉❝≥✶✻✮ ✳✹✶✽ ✳✶✺✶ ✳✵✻✻ ✭✳✵✷✹✮ ✭✳✵✷✾✮ ✭✳✵✶✵✮ ❆❣❡ ✳✵✸✵ ✳✵✼✻ ✲✳✵✶✸ ✭✳✵✵✾✮ ✭✳✵✵✼✮ ✭✳✵✵✻✮ ❆❣❡✲sq✉❛r❡❞ ✲✳✵✵✵✹ ✲✳✵✵✵✽ ✳✵✵✵✹ ✭✳✵✵✵✶✮ ✭✳✵✵✵✶✮ ✭✳✵✵✵✶✮ ▼❛rr✐❡❞ ✳✵✸✾ ✳✵✹✺ ✭✳✵✶✺✮ ✭✳✵✵✹✮ ★❦✐❞s ✳✵✼✼ ✳✵✹✹ ✭✳✵✶✷✮ ✭✳✵✵✺✮ ★❦✐❞s✲sq✉❛r❡❞ ✲✳✵✵✾✺ ✲✳✵✵✸✷ ✭✳✵✵✷✺✮ ✭✳✵✵✷✸✮ ✭✳✵✵✶✸✮ ρ ✳✸✼✶ ✳✽✵✺ ✳✵✵✵ ◆ ✷✱✹✼✾ ✷✱✹✼✾ ✶✱✾✽✽ ◆❚ ✻✱✾✷✻ ✶✷✱✸✾✺ ✽✱✾✺✸ R2 ✳✵✼✸ ✳✵✷✹ ✳✵✼✸ ✶✶

slide-12
SLIDE 12

❚❛❜❧❡ ✻✿ ▲♦❣ ❲❛❣❡ ❘❡❣r❡ss✐♦♥s ❖▲❙ ❖▲❙ ❖▲❙ ❘❊ ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ❈♦♥st❛♥t ✽✳✾✾✵ ✽✳✾✽✽ ✼✳✻✹✻ ✽✳✵✷✾ ✭✳✸✸✶✮ ✭✳✹✹✸✮ ✭✳✹✶✾✮ ✭✳✹✾✸✮ ■✭✶✷❁❊❞✉❝❁✶✻✮ ✳✻✻✹ ✳✻✼✽ ✳✹✽✹ ✳✺✻✸ ✭✳✵✺✻✮ ✭✳✵✻✽✮ ✭✳✵✻✸✮ ✭✳✵✽✻✮ ■✭❊❞✉❝≥✶✻✮ ✶✳✶✶✼ ✶✳✶✸✾ ✳✾✸✺ ✶✳✵✵✼ ✭✳✵✺✾✮ ✭✳✵✼✸✮ ✭✳✵✻✽✮ ✭✳✵✾✶✮ ❆❣❡ ✲✳✵✵✾ ✲✳✵✵✸ ✳✵✷✸ ✳✵✵✽ ✭✳✵✶✼✮ ✭✳✵✷✷✮ ✭✳✵✷✵✮ ✭✳✵✷✹✮ ❆❣❡✲sq✉❛r❡❞ ✳✵✵✵✸ ✳✵✵✵✷ ✲✳✵✵✵✶ ✳✵✵✵✶ ✭✳✵✵✵✷✮ ✭✳✵✵✵✸✮ ✭✳✵✵✵✷✮ ✭✳✵✵✵✸✮ ❱♦❧✉♥t❡❡r❡❞ ✲✳✶✹✸ ✲✳✵✻✾ ✲✳✵✸✽ ✭✳✵✸✹✮ ✭✳✵✸✶✮ ✭✳✵✷✽✮ ❲♦r❦❡❞ P❚ ✳✻✽✶ ✳✻✸✸ ✭✳✵✾✸✮ ✭✳✵✽✷✮ ❲♦r❦❡❞ ❋❚ ✶✳✸✻✺ ✳✾✺✾ ✭✳✵✾✵✮ ✭✳✵✽✵✮ σ ✳✻✻✾ ◆ ✷✱✸✵✺ ✷✱✵✸✷ ✷✱✵✸✷ ✷✱✵✸✷ ◆❚ ✺✱✽✼✼ ✸✱✼✵✼ ✸✱✼✵✼ ✸✱✼✵✼ R2 ✳✵✾✽ ✳✶✵✵ ✳✷✼✶ ✳✷✹✺ ✶✷

slide-13
SLIDE 13

❈❤♦✐❝❡ ❙❡t

  • ❊♠♣❧♦②♠❡♥t ❈❤♦✐❝❡s
  • dk

a

  • ✕ ♥♦ ♣❛✐❞ ♦r ✉♥♣❛✐❞ ✇♦r❦ ✭♥♦♥✲❡♠♣❧♦②♠❡♥t✮

✕ ✈♦❧✉♥t❡❡r ♦♥❧② ✕ ♣❛rt✲t✐♠❡ ♣❛✐❞ ✇♦r❦ ♦♥❧② ✕ ❢✉❧❧✲t✐♠❡ ♣❛✐❞ ✇♦r❦ ♦♥❧② ✕ ♣❛rt✲t✐♠❡ ♣❛✐❞ ✇♦r❦ ❛♥❞ ✈♦❧✉♥t❡❡r ✕ ❢✉❧❧✲t✐♠❡ ♣❛✐❞ ✇♦r❦ ❛♥❞ ✈♦❧✉♥t❡❡r

  • ❋✉❧❧✲t✐♠❡ ❥♦❜ ♦✛❡r ♣r♦❜❛❜✐❧✐t✐❡s
  • tr❛♥s✐t✐♦♥s ♦❝❝✉r ✇✐t❤ s✇✐t❝❤✐♥❣ ❝♦sts

✶✸

slide-14
SLIDE 14
  • ▼❛rr✐❛❣❡ ❈❤♦✐❝❡s (ma)

✕ ❙t❛② ❙✐♥❣❧❡✱ ●❡t✴❙t❛② ▼❛rr✐❡❞ ✕ ♠❛rr✐❛❣❡ ♦✛❡r ♣r♦❜❛❜✐❧✐t✐❡s ✕ ❞r❛✇ ♣❡r♠❛♥❡♥t ❝♦♠♣♦♥❡♥t t♦ ♥❡✇ ❤✉s✲ ❜❛♥❞✬s ❡❛r♥✐♥❣s ✕ ❞r❛✇ ♦♥❧② ✇❤❡♥ s✐♥❣❧❡ ✭♥♦ ✏♦♥✲t❤❡✲❥♦❜✑ s❡❛r❝❤✮ ✕ ♠❛rr✐❛❣❡ ✏q✉✐ts✑ ❛r✐s❡ ❢r♦♠ ❜❛❞ ❤✉s❜❛♥❞✬s ❡❛r♥✐♥❣s ❛♥❞ ♠❛rr✐❛❣❡ ✉t✐❧✐t② s❤♦❝❦s

  • ❋❡rt✐❧✐t② ❈❤♦✐❝❡s (ba)(a ≤ 45)

✕ ❝♦♥❝❡✐✈❡✴❞♦♥✬t ❝♦♥❝❡✐✈❡ ✕ ❜✐rt❤ ♦❝❝✉rs ✇✐t❤ ❝❡rt❛✐♥t② ❜❡❢♦r❡ st❛rt ♦❢ a + 1 ✕ ❝❤✐❧❞ ✉t✐❧✐t② s❤♦❝❦s

✶✹

slide-15
SLIDE 15

❇❛s✐❝ ❙tr✉❝t✉r❡

  • ❯t✐❧✐t② ❋❧♦✇✿

Ua = µkC1−λ

a

1 − λ +

  • k∈Kv

dk

aga

+

  • k∈K

γkdk

adk a−1 + ψm + ψn + d1 aεu

  • ❇✉❞❣❡t ❈♦♥str❛✐♥t✿

Ca = τma{b(1 − ma))(d1

a + d2 a) + wp a

  • d3

a + d5 a

  • +wf

a

  • d4

a + d6 a

  • + wh

ama − ck}

✶✺

slide-16
SLIDE 16

❆❞❞✐t✐♦♥❛❧ P❛r❛♠❡t❡r✐③❛t✐♦♥s

  • ❲❛❣❡ ❛♥❞ ❏♦❜ ❖✛❡rs (k = p, f)✿

ln wk

a = Ψk

E, A, xv

a, xp a, xf a

  • + εk

a

πf

a = Lf

dk

a−1

  • ❲❛r♠ ●❧♦✇✿

ga = Ψg E, a, ma, n1,6

a

, n7,18

a

  • + εg

a

  • ❍✉s❜❛♥❞ ❲❛❣❡ ❛♥❞ ▼❛rr✐❛❣❡ ❖✛❡rs✿

ln wh

a = Ψh (E, a) + µ + εh a

εh

a = ρεh a−1 + νh a

πm

a = Lm ma−1

  • ✶✻
slide-17
SLIDE 17
  • ❯t✐❧✐t② ♦❢ ▼❛rr✐❛❣❡✿

ψm = Ψm (xm

a ) + εm a

  • ❯t✐❧✐t② ♦❢ ❈❤✐❧❞r❡♥✿

ψn = Ψn (ma, na) + εn

a

  • ❈♦st ♦❢ ❈❤✐❧❞r❡♥✿

ck = Ψc ba, n1,6

a

, n7,18

a

, dk

a

  • ❙t❛♥❞❛r❞ ▲❛✇s ♦❢ ▼♦t✐♦♥ ❢♦r✿

(xv

a, xp a, xf a, xm a , na, n1,6 a

, n7,18

a

)

✶✼

slide-18
SLIDE 18

❙♦❧✉t✐♦♥

  • ❉❡❝✐s✐♦♥ ❘✉❧❡s ✭❇❡❧❧♠❛♥ ❊q✉❛t✐♦♥s✮

Va (Ωa) = max

dk

a,ma,ba∈J

  • V j

a (Ωa)

  • V j

a (Ωa) = Uj a + δE

  • Va+1
  • Ωa+1
  • |j ∈ J, Ωa
  • ❯s❡ ❛♣♣r♦①✐♠❛t❡ s♦❧✉t✐♦♥ ♠❡t❤♦❞

✕ s♦❧✈❡ s❡r✐❡s ♦❢ t✇♦ ♣❡r✐♦❞ ♣r♦❜❧❡♠s ✭▼♦♥t❡ ❈❛r❧♦ ✐♥t❡❣r❛t✐♦♥ ❢♦r ❊▼❆❳s ❛t a + 1✮ ✕ ✐♠❜❡❞ ❢✉♥❝t✐♦♥ ♦❢ st❛t❡s ❛t a+2 t♦ ❝❛♣✲ t✉r❡ ♦♠✐tt❡❞ ❞✐st❛♥t ❢✉t✉r❡ ✕ ✇♦r❦s ✐♥ t②♣❡ ♦❢ t✐♠❡✲✐♥❝♦♥s✐st❡♥t ♣r❡❢✲ ❡r❡♥❝❡s ❛♥❞ ❜✉✐❧❞s ♦♥ ●❡✇❡❦❡ ❛♥❞ ❑❡❛♥❡ ✭✷✵✵✶✮

✶✽

slide-19
SLIDE 19

❊st✐♠❛t✐♦♥

  • ❙♦❧✉t✐♦♥ ♦❢ ❉❈❉P ♥❡st❡❞ ✐♥ ❧✐❦❡❧✐❤♦♦❞ ✐t✲

❡r❛t✐♦♥s

  • ❙▼▲ ✇✐t❤ ❈❊
  • ■♥✐t✐❛❧ ❝♦♥❞✐t✐♦♥s✿ s✐♠✉❧❛t❡ ♠♦❞❡❧ ❢r♦♠ a =

21✱ ❞❛t❛ st❛rts ❛t ˜ ai ≥ 25

  • ❚②♣❡ ♣r♦❜s ❢✉♥❝t✐♦♥ ♦❢ ❜✐rt❤ ❝♦❤♦rt ✭❡①✲

♦❣❡♥♦✉s ✈❛r✐❛t✐♦♥✮ ❛♥❞ ❡❞✉❝❛t✐♦♥ ✭❈❘❊✮

  • ◆♦♥✲r❡s♣♦♥s❡ ♣r♦❜❛❜✐❧✐t② ❢✉♥❝t✐♦♥ ♦❢ s✐♠✉✲

❧❛t❡❞ ❝❤♦✐❝❡s ❛♥❞ ✐♥t❡r✈✐❡✇ ❧❡♥❣t❤ ✭❡①♦❣❡✲ ♥♦✉s ✈❛r✐❛t✐♦♥✮

✶✾

slide-20
SLIDE 20

ˆ ℓi

  • D∗

i , M∗ i , B∗ i , W ∗ i , H∗ i | Ei, Al, θ

  • = 1

R

R

r=1

˜

ai+5 a=˜ ai

  

6

  • j=1

6

  • k=1

πe

jkarI

dr

a = j, d∗ ia = k

 

I(d∗

ia∈D∗ i )

  

1

  • j=0

1

  • k=0

πm

jkarI

mr

a = j, m∗ ia = k

 

I(m∗

ia∈M∗ i )

  

1

  • j=0

1

  • k=0

πb

jkarI

br

a = j, b∗ ia = k

 

I(b∗

ia∈B∗ i )

{πo

ar}I(NR∗

ia=1) {1 − πo

ar}1−I(NR∗

ia=1)

{g1r

w∗

ia

}I(w∗

ia∈W ∗ i ) {g2r

h∗

ia

}I(h∗

ia∈H∗ i )

  

6

  • j=1

πf

j I

  • dr

a−1 = j

 

I(dr

a=4,6)

{πm}

I

  • mr

a−1=0,mr a=1

  • ✷✵
slide-21
SLIDE 21

❘❡s✉❧ts✿ ❊❝♦♥♦♠✐❝ ❛♥❞ ◆♦♥✲❡❝♦♥♦♠✐❝ ❘❡t✉r♥s ❚❛❜❧❡ ✼✿ ❲❛❣❡ ❖✛❡r ❛♥❞ ❲❛r♠✲●❧♦✇ ❋✉♥❝t✐♦♥s ✭❙▼▲✮ ln wp

a

  • ln

wf

a

  • g

P❛rt✲t✐♠❡ ❋✉❧❧✲t✐♠❡ ❲❛r♠ ●❧♦✇ ✭✶✮ ✭✷✮ ✭✸✮ ❈♦♥st❛♥t ✼✳✹✻✹ ✭✳✵✵✷✮ ✽✳✻✵✽ ✭✳✵✵✶✮ ✲✳✾✼✻ ✭✳✵✵✶✮ E1 ✳✹✾✺ ✭✳✵✵✶✮ ✳✺✶✹ ✭✳✵✵✵✹✮ ✷✳✻✷✾ ✭✳✵✵✷✮ E2 ✳✾✹✻ ✭✳✵✵✶✮ ✳✾✼✹ ✭✳✵✵✶✮ ✷✳✾✺✸ ✭✳✵✵✸✮ A1 ✲✳✺✷✻ ✭✳✵✵✶✮ ✲✳✼✸✻ ✭✳✵✵✸✮ A2 ✳✹✵✸ ✭✳✵✵✶✮ ✳✻✶✾ ✭✳✵✵✵✹✮ A3 ✳✽✻✼ ✭✳✵✵✶✮ ✳✾✸✻ ✭✳✵✵✶✮ xv

a

✳✵✻✾ ✭✳✵✵✵✶✮ ✳✵✷✹ ✭✳✵✵✵✶✮ xp

a

✳✵✻✵ ✭✳✵✵✵✶✮ ✳✵✶✸ ✭✳✵✵✵✶✮ xp2

a

✲✳✵✵✼ ✭✳✵✵✵✵✶✮ xf

a

✲✳✵✵✵✶ ✭✳✵✵✷✮ ✳✵✹✾ ✭✳✵✵✵✵✸✮ xf2

a

✲✳✵✵✷ ✭✳✵✵✵✵✵✶✮ a ✳✵✵✸ ✭✳✵✵✵✵✸✮ a2 ma ✳✸✺✷ ✭✳✵✵✶✮ n1,6

a

✲✳✶✾✶ ✭✳✵✵✸✮ n7,18

a

✶✳✻✵✽ ✭✳✵✶✸✮ ✷✶

slide-22
SLIDE 22

❘❡s✉❧ts✿ ❙❡❧❡❝t✐♦♥ ✐♥t♦ ❱♦❧✉♥t❡❡r✐♥❣

  • ▼♦❞❡❧ s❛②s ✈♦❧✉♥t❡❡r✐♥❣ ♦♣t✐♠❛❧ ✇❤❡♥

✕ ✇❛r♠ ❣❧♦✇ ❛♥❞ ❡①♣❡❝t❡❞ ❢✉t✉r❡ ❡❝♦♥♦♠✐❝ r❡t✉r♥s s✉✣❝✐❡♥t❧② ♦✉t✇❡✐❣❤ ❞✐s✉t✐❧✐t② ♦❢ ❡①tr❛ ✇♦r❦ ❡✛♦rt ❛♥❞ ❝❤✐❧❞❝❛r❡ ❝♦sts

  • ❍✐❣❤❧② ❡❞✉❝❛t❡❞ ✇♦♠❡♥ r❡❝❡✐✈❡ ♠♦r❡ ✇❛r♠

❣❧♦✇

  • ▲♦✇ ♠❛r❦❡t✲♣r♦❞✉❝t✐✈✐t② t②♣❡s ❤❛✈❡ ❤✐❣❤❡r

❡①♣❡❝t❡❞ ❢✉t✉r❡ ❡❝♦♥♦♠✐❝ r❡t✉r♥s ✭❝✉r✈❛✲ t✉r❡ ♦❢ ✉t✐❧✐t② ❢✉♥❝t✐♦♥✿ 1 − ˆ λ = .25✮

  • ■♠♣❧✐❡s ❤✐❣❤❧② ❡❞✉❝❛t❡❞ ❧♦✇ ♠❛r❦❡t✲♣r♦❞✉❝t✐✈✐t②

✇♦♠❡♥ ✈♦❧✉♥t❡❡r ♠♦st ♦❢t❡♥

  • ◆❡❣❛t✐✈❡ s❡❧❡❝t✐♦♥ ❞r✐✈❡♥ ❜② ❞✐✛❡r❡♥t✐❛❧ ♠❛r❣✐♥❛❧

✉t✐❧✐t✐❡s ♦❢ ❢✉t✉r❡ ❝♦♥s✉♠♣t✐♦♥ ✭♦✉t✇❡✐❣❤s ❤❡t❡r♦❣❡♥♦✉s ♥♦♥✲❡❝♦♥♦♠✐❝ r❡t✉r♥s✮

✷✷

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SLIDE 23

❱♦❧✉♥t❡❡r ❘❡❣r❡ss✐♦♥s ✭❖▲❙ ♦♥ ❙✐♠✉❧❛t❡❞ ❉❛t❛✮ ✭✶✮ ✭✷✮ ✭✸✮ ❈♦♥st❛♥t ✳✶✶✵ ✭✳✵✵✷✮ ✳✸✷✺ ✭✳✵✶✹✮ ✳✸✹✾ ✭✳✵✶✹✮ E1 ✳✷✻✼ ✭✳✵✵✷✮ ✳✷✻✶ ✭✳✵✵✷✮ ✳✷✺✻ ✭✳✵✵✷✮ E2 ✳✸✾✺ ✭✳✵✵✷✮ ✳✸✺✼ ✭✳✵✵✷✮ ✳✸✹✾ ✭✳✵✵✷✮ A1 ✳✵✽✼ ✭✳✵✵✸✮ ✳✵✾✸ ✭✳✵✵✸✮ ✳✵✾✸ ✭✳✵✵✷✮ A2 ✲✳✵✼✶ ✭✳✵✵✷✮ ✲✳✵✽✵ ✭✳✵✵✷✮ ✲✳✵✽✶ ✭✳✵✵✷✮ A3 ✲✳✵✻✷ ✭✳✵✵✷✮ ✲✳✵✼✺ ✭✳✵✵✷✮ ✲✳✵✼✻ ✭✳✵✵✷✮ a ✲✳✵✶✽ ✭✳✵✵✶✮ ✲✳✵✶✽ ✭✳✵✵✷✮ a2 ✳✵✵✵✸ ✭✳✵✵✵✵✶✮ ✳✵✵✵✸ ✭✳✵✵✷✮ ma ✳✵✶✺ ✭✳✵✵✷✮ ln wh

a

  • ✲✳✵✶✷ ✭✳✵✵✷✮

ln wh

a

2

✳✵✵✶ ✭✳✵✵✷✮ n1,6

a

✲✳✵✹✵ ✭✳✵✵✶✮ ✲✳✵✹✶ ✭✳✵✵✶✮ n7,18

a

✳✷✵✸ ✭✳✵✵✶✮ ✳✷✵✷ ✭✳✵✵✶✮ R2 ✳✶✸✻✹ ✳✷✼✶✻ ✳✷✼✶✽ ◆ ✸✵✵ ◆❚ ✶✵✱✷✵✵ ✷✸

slide-24
SLIDE 24

❘❡❧❛t✐✈❡ ■♠♣♦rt❛♥❝❡ ❛♥❞ ❚❛① ❉❡❞✉❝t✐❜✐❧✐t② ◆♦♥✲❡❝♦ ❊❝♦ ❚❛① ❘❡t✉r♥s ❘❡t✉r♥s ❉❡❞✉❝t✐♦♥ ❇❛s❡❧✐♥❡ g ↑ 10% β6 ↑ 1% βvc ↓ 35% ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ❱♦❧ ✭❚♦t❛❧✮ ✳✸✵✺✹ ✳✸✻✵✷ ✳✸✶✸✺ ✳✸✼✺✻ ✭✳✺✹✽✮ ✭✳✽✶✵✮ ✭✷✷✳✾✾✮ ◆♦♥✲❡♠♣ ✳✶✷✹✻ ✳✶✶✹✾ ✳✶✶✼✸ ✳✶✵✸✾ ✭✳✵✾✼✮ ✭✳✼✸✵✮ ✭✶✻✳✻✶✮ ❱♦❧ ❖♥❧② ✳✵✹✻✻ ✳✵✹✹✵ ✳✵✸✼✸ ✳✵✹✾✷ ✭✳✵✷✻✮ ✭✳✾✸✵✮ ✭✺✳✺✽✮ P❛rt✲t✐♠❡ ✳✶✺✵✾ ✳✶✸✽✻ ✳✶✹✺✷ ✳✶✷✷✷ ✭✳✶✷✸✮ ✭✳✺✼✵✮ ✭✶✾✳✵✷✮ ❋✉❧❧✲t✐♠❡ ✳✹✶✾✵ ✳✸✽✻✸ ✳✹✷✹✵ ✳✸✾✽✷ ✭✳✸✷✼✮ ✭✳✺✵✵✮ ✭✹✳✾✻✮ P❚ ✫ ❱♦❧ ✳✵✾✻✹ ✳✶✶✾✾ ✳✵✾✺✷ ✳✶✹✶✺ ✭✳✷✸✺✮ ✭✳✶✷✵✮ ✭✹✻✳✼✽✮ ❋❚ ✫ ❱♦❧ ✳✶✻✷✹ ✳✶✾✻✸ ✳✶✽✶✵ ✳✶✽✹✾ ✭✳✸✸✾✮ ✭✶✳✽✻✮ ✭✶✸✳✽✺✮ ❲❛❣❡ ✶✽✱✺✵✻ ✶✾✱✹✾✻ ✭✺✳✸✺✮ ▲✐❢❡t✐♠❡ ✷✼✻✱✷✵✶ ✷✽✹✱✼✵✸ ❊❛r♥✐♥❣s ✭✸✳✵✽✮ ❙♦❝✐❛❧ ❈♦st ✵ ✼✱✷✹✸ ◆❡t ●❛✐♥ ✵ ✶✱✷✺✾ ✷✹

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SLIDE 25

❈♦♥❝❧✉s✐♦♥s

  • ❙✉❜st❛♥t✐❛❧ ❡❝♦♥♦♠✐❝ ❛♥❞ ♥♦♥✲❡❝♦♥♦♠✐❝ r❡✲

t✉r♥s t♦ ✈♦❧✉♥t❡❡r✐♥❣ ✕ ✻✳✾✪ ✐♥ ♣❛rt✲t✐♠❡ ✇♦r❦ ✕ ✷✳✹✪ ✐♥ ❢✉❧❧✲t✐♠❡ ✇♦r❦ ✕ ❤✐❣❤❡r ❢✉❧❧✲t✐♠❡ ❥♦❜ ♦✛❡r ♣r♦❜s ❝♦♠♣❛r❡❞ t♦ ♥♦♥✲❡♠♣❧♦②❡❞ ✭✷✷ ✪ ♣♦✐♥ts✮

  • ❯♥❝♦✈❡r❡❞ ❛❞✈❡rs❡ s❡❧❡❝t✐♦♥ ✐♥t♦ ✈♦❧✉♥t❡❡r✲

✐♥❣ ❝♦♥s✐st❡♥t ✇✐t❤ ♥❡❣❛t✐✈❡ r❡t✉r♥s ✐♥ ❖▲❙

  • ❊❝♦♥♦♠✐❝ r❡t✉r♥s r❡❧❛t✐✈❡❧② ♠♦r❡ ✐♠♣♦r✲

t❛♥t t❤❛♥ ♥♦♥✲❡❝♦♥♦♠✐❝ r❡t✉r♥s

  • ❚❛① ❞❡❞✉❝t✐❜✐❧✐t② ♦❢ ❝❤✐❧❞ ❝❛r❡ ❝♦sts ✇♦✉❧❞

s✉❜st❛♥t✐❛❧❧② ✐♥❝r❡❛s❡ ✈♦❧✉♥t❡❡r ❧❛❜♦r s✉♣✲ ♣❧② ❛♥❞ ❧✐❢❡t✐♠❡ ❡❛r♥✐♥❣s

✷✺

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SLIDE 26

❊①t❡♥s✐♦♥s

  • ❆❞❞ ❜♦rr♦✇✐♥❣ ❛♥❞ s❛✈✐♥❣ ✭❝❛♥ ❢✉♥❞ ✈♦❧✲

✉♥t❡❡r✐♥❣✮

  • ❆❞❞ ❝❤❛r✐t❛❜❧❡ ❣✐✈✐♥❣ ✭s✉❜st✐t✉t❡✴❝♦♠♣❧❡♠❡♥t

t♦ ✈♦❧✉♥t❡❡r✐♥❣✮

  • ❊♥❞♦❣❡♥✐③❡ ♠❛❧❡ ❧❛❜♦✉r s✉♣♣❧② ✭❤♦✉s❡❤♦❧❞

♠♦❞❡❧✮

✷✻