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  1. ▼❛♥❛❣✐♥❣ ❘❡t✐r❡♠❡♥t ❘✐s❦s ✇✐t❤ ❘❡✈❡rs❡ ▼♦rt❣❛❣❡ ▲♦❛♥s ❛♥❞ ▲♦♥❣✲❚❡r♠ ❈❛r❡ ■♥s✉r❛♥❝❡ ❆❞❛♠ ❲✳ ❙❤❛♦ ✶ ✱ ❍✉❛ ❈❤❡♥ ✷ ✱ ▼✐❝❤❛❡❧ ❙❤❡rr✐s ✶ ✶✳ ❆❘❈ ❈❡♥tr❡ ♦❢ ❊①❝❡❧❧❡♥❝❡ ✐♥ P♦♣✉❧❛t✐♦♥ ❆❣❡✐♥❣ ❘❡s❡❛r❝❤ ✭❈❊P❆❘✮ ❯♥✐✈❡rs✐t② ♦❢ ◆❡✇ ❙♦✉t❤ ❲❛❧❡s✱ ❆✉str❛❧✐❛ ✷✳ ❚❡♠♣❧❡ ❯♥✐✈❡rs✐t②✱ ❯✳❙✳ ✶✶ th ■♥t❡r♥❛t✐♦♥❛❧ ▲♦♥❣❡✈✐t② ❘✐s❦ ❛♥❞ ❈❛♣✐t❛❧ ▼❛r❦❡ts ❙♦❧✉t✐♦♥s ❈♦♥❢❡r❡♥❝❡ ✼ ✲ ✾ ❙❡♣t❡♠❜❡r ✷✵✶✺✱ ▲②♦♥ ❋r❛♥❝❡

  2. ❚♦♣✐❝ ❈♦✈❡r❛❣❡ ■♥tr♦❞✉❝t✐♦♥ ✶ ❋✐♥❛♥❝✐❛❧ ❆ss❡ts ❛♥❞ ❘✐s❦s ✷ ▼♦❞❡❧ ❋r❛♠❡✇♦r❦ ✸ ❘❡s✉❧ts ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ✶✴✶✾

  3. ❚♦♣✐❝ ❝♦✈❡r❛❣❡ ■♥tr♦❞✉❝t✐♦♥ ✶ ❋✐♥❛♥❝✐❛❧ ❆ss❡ts ❛♥❞ ❘✐s❦s ✷ ▼♦❞❡❧ ❋r❛♠❡✇♦r❦ ✸ ❘❡s✉❧ts ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ✷✴✶✾

  4. ❘❡s❡❛r❝❤ ▼♦t✐✈❛t✐♦♥ ❚✇♦ ✐♠♣♦rt❛♥t r✐s❦s ✐♥ ✐♥❞✐✈✐❞✉❛❧s✬ r❡t✐r❡♠❡♥t ♣❧❛♥♥✐♥❣✿ ❤❡❛❧t❤ s❤♦❝❦s ❛♥❞ ❤♦✉s❡ ♣r✐❝❡ r✐s❦ ▲❚❈ ❝♦sts ❛r❡ ✐♥❝r❡❛s✐♥❣❧② ❤✐❣❤❡r ❛♥❞ t❤❡ ✐♥❝r❡❛s✐♥❣ tr❡♥❞ ✐s ♣r♦❥❡❝t❡❞ t♦ ❝♦♥t✐♥✉❡ ✭❈♦♥❣r❡ss✐♦♥❛❧ ❇✉❞❣❡t ❖✣❝❡✱ ✷✵✵✹❀ ❙❤✐ ❛♥❞ ❩❤❛♥❣✱ ✷✵✶✸✮ ▲❚❈ ❝♦sts ❢✉♥❞✐♥❣ s❝❤❡♠❡ ❆✉str❛❧✐❛✿ ❧✐❢❡t✐♠❡ st♦♣✲❧♦ss ♠❡❝❤❛♥✐s♠ ❯✳❙✳✿ ▼❡❞✐❝❛✐❞ ❛♥❞ ▼❡❞✐❝❛r❡ ✰ ♣r✐✈❛t❡ ✐♥s✉r❛♥❝❡ ✰ ♣❡rs♦♥❛❧ ♣❛②♠❡♥t ❚❤❡ ♣r✐✈❛t❡ ▲❚❈ ✐♥s✉r❛♥❝❡ ♠❛r❦❡t ✐s ❛♥ ✐♠♣♦rt❛♥t s✉♣♣❧❡♠❡♥t ✭●❧❡♥❞✐♥♥✐♥❣ ❡t ❛❧✳ ✱ ✷✵✵✹❀ ❈♦❧♦♠❜♦ ❡t ❛❧✳ ✱ ✷✵✶✶✮ ■♠♣♦rt❛♥t t♦ t❛❦❡ ✐♥t♦ ❛❝❝♦✉♥t ❤❡❛❧t❤ r✐s❦ ✐♥ ❛ ❧✐❢❡❝②❝❧❡ ♠♦❞❡❧ ✭❆♠❡r✐❦s ❡t ❛❧✳ ✱ ✷✵✶✶❀ ❨♦❣♦✱ ✷✵✵✾✮ ✷✴✶✾

  5. ❘❡s❡❛r❝❤ ▼♦t✐✈❛t✐♦♥ ❚✇♦ ✐♠♣♦rt❛♥t r✐s❦s ✐♥ ✐♥❞✐✈✐❞✉❛❧s✬ r❡t✐r❡♠❡♥t ♣❧❛♥♥✐♥❣✿ ❤❡❛❧t❤ s❤♦❝❦s ❛♥❞ ❤♦✉s❡ ♣r✐❝❡ r✐s❦ ▲❛r❣❡ ❝♦♠♣♦♥❡♥t ♦❢ ✇❡❛❧t❤ ✐♥ ❤♦♠❡ ❡q✉✐t② ✭❍♦♠❡✲♦✇♥❡rs❤✐♣ r❛t❡✿ ✽✵✪ ❢♦r ✻✺ + ✮ ❍♦✉s❡ ♣r✐❝❡ ❞②♥❛♠✐❝s ✐♥ t❤❡ ♦♣t✐♠❛❧ ♣♦rt❢♦❧✐♦ ❝❤♦✐❝❡ ✜❡❧❞ ◆♦t t❛❦✐♥❣ ✐♥t♦ ❛❝❝♦✉♥t ❤♦✉s✐♥❣ ❛ss❡t ✭❆♠❡r✐❦s ❡t ❛❧✳ ✱ ✷✵✶✶✮ ❯♥r❡❛❧✐st✐❝ ♠♦❞❡❧✿ ❉❡t❡r♠✐♥✐st✐❝✱ ❇✐♥♦♠✐❛❧✱ ▲♦❣✲◆♦r♠❛❧ ✭❨♦❣♦✱ ✷✵✵✾❀ ❉❛✈✐❞♦✛✱ ✷✵✶✵❀ ❨❛♦ ❛♥❞ ❩❤❛♥❣✱ ✷✵✵✺❀ ▲✐ ❛♥❞ ❨❛♦✱ ✷✵✵✼✮ ▼♦t✐✈❛t✐♦♥ ❢♦r ✉s❡ ♦❢ ❛ ♠♦r❡ r❡❛❧✐st✐❝ t✐♠❡ s❡r✐❡s ♠♦❞❡❧✱ ❜♦rr♦✇✐♥❣ ✐❞❡❛s ❢r♦♠ st✉❞✐❡s ✐♥ ♦t❤❡r ✜❡❧❞s ✭❡✳❣✳✱ ❈❤❡♥ ❡t ❛❧✳ ✱ ✷✵✶✵❀ ▲❡❡ ❡t ❛❧✳ ✱ ✷✵✶✷❀ ❨❛♥❣✱ ✷✵✶✶✮ P❛t❤ ❞❡♣❡♥❞❡♥t ❤♦✉s❡ ♣r✐❝❡ ❞②♥❛♠✐❝s ✲ ❝♦♠♣❧❡①✐t② ✐♥ ❧✐❢❡❝②❝❧❡ ♠♦❞❡❧ ❆ss❡t r✐❝❤ ❜✉t ❝❛s❤ ♣♦♦r✿ ❘♦❧❡ ❢♦r ❡q✉✐t②✲r❡❧❡❛s❡ ♣r♦❞✉❝ts ✸✴✶✾

  6. ❘❡s❡❛r❝❤ ◗✉❡st✐♦♥s ❍♦✇ ❝❛♥ r❡t✐r❡❡s ✉s❡ r❡✈❡rs❡ ♠♦rt❣❛❣❡ ❛♥❞ ♣r✐✈❛t❡ ❧♦♥❣✲t❡r♠ ❝❛r❡ ✐♥s✉r❛♥❝❡ ✭▲❚❈■✮ t♦ ❜❡tt❡r ♠❛♥❛❣❡ r❡t✐r❡♠❡♥t r✐s❦s❄ ❲❤❛t ✐s t❤❡ ✐♠♣❛❝t ♦❢ ❤♦✉s❡ ♣r✐❝❡ ❛♥❞ ❤❡❛❧t❤ r✐s❦s ♦♥ r❡t✐r❡❡s✬ ♦♣t✐♠❛❧ ♣♦rt❢♦❧✐♦ ❝❤♦✐❝❡❄ ❲❤❛t ✐s t❤❡ ✇❡❧❢❛r❡ ❣❛✐♥ ✇❤❡♥ r❡✈❡rs❡ ♠♦rt❣❛❣❡ ❛♥❞✴♦r ♣r✐✈❛t❡ ▲❚❈■ ❛r❡ ❛❞❞❡❞ t♦ t❤❡ ♠❡♥✉❄ ❲❤❛t ❛r❡ t❤❡ ✐♥t❡r❛❝t✐♥❣ ❡✛❡❝ts ❜❡t✇❡❡♥ r❡✈❡rs❡ ♠♦rt❣❛❣❡ ❛♥❞ ♣r✐✈❛t❡ ▲❚❈■❄ ✹✴✶✾

  7. ❚♦♣✐❝ ❝♦✈❡r❛❣❡ ■♥tr♦❞✉❝t✐♦♥ ✶ ❋✐♥❛♥❝✐❛❧ ❆ss❡ts ❛♥❞ ❘✐s❦s ✷ ▼♦❞❡❧ ❋r❛♠❡✇♦r❦ ✸ ❘❡s✉❧ts ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ✺✴✶✾

  8. ❖✈❡r✐❡✇ ❋✐♥❛♥❝✐❛❧ ❛ss❡ts ❘✐s❦✲❢r❡❡ ❛ss❡t ❍♦✉s❡ ❘❡✈❡rs❡ ♠♦rt❣❛❣❡ ❧♦❛♥s ▲♦♥❣✲t❡r♠ ❝❛r❡ ✐♥s✉r❛♥❝❡ ❘✐s❦s ❍❡❛❧t❤ ❞②♥❛♠✐❝s ❛♥❞ ♠♦rt❛❧✐t② r✐s❦✿ ▼❛r❦♦✈ ♠♦❞❡❧ ❍♦✉s❡ ♣r✐❝❡✿ ❆❘■▼❆✲●❆❘❈❍ ✺✴✶✾

  9. ❍❡❛❧t❤ ❉②♥❛♠✐❝s ✶ ✲ ❍❡❛❧t❤② ✭❞✐✣❝✉❧t② ✐♥ ♥♦ ❆❉▲s✮ ✷ ✲ ▼✐❧❞❧② ❞✐s❛❜❧❡❞ ✭❞✐✣❝✉❧t② ✐♥ ✶ ❆❉▲✮ ❛♥❞ st❛②✐♥❣ ❛t ❤♦♠❡ ✸ ✲ ❙❡✈❡r❡❧② ❞✐s❛❜❧❡❞ ✭❞✐✣❝✉❧t② ✐♥ ✷✰ ❆❉▲s✮ ❛♥❞ st❛②✐♥❣ ❛t ❤♦♠❡ ✹ ✲ ■♥st✐t✉t✐♦♥❛❧✐③❡❞ ✷ ✺ ✲ ❉❡❛❞ ✶ ✸ ✺ ✹ ❆ss✉♠♣t✐♦♥✿ ♠♦✈✐♥❣ ✐♥t♦ ❛ ♥✉rs✐♥❣ ❤♦♠❡ ✐s ♥♦♥✲r❡✈❡rs✐❜❧❡ ❍❡❛❧t❤ tr❛♥s✐t✐♦♥ r❛t❡s✴♣r♦❜❛❜✐❧✐t✐❡s ❡st✐♠❛t❡❞ ✉s✐♥❣ ●▲▼ ✭❋♦♥❣ ❡t ❛❧✳ ✱ ✷✵✶✸✮ ❉❛t❛✿ ❍❡❛❧t❤ ❛♥❞ ❘❡t✐r❡♠❡♥t ❙t✉❞✐❡s ✭❍❘❙✮ ✻✴✶✾

  10. ▲♦♥❣✲❚❡r♠ ❈❛r❡ ■♥s✉r❛♥❝❡ ▲❚❈ ❝♦sts ❞❡♣❡♥❞ ♦♥ ❤❡❛❧t❤ st❛t❡s i ∈ { ✷ , ✸ , ✹ } ✐♥❝r❡❛s❡ ❛t t❤❡ ✐♥✢❛t✐♦♥ r❛t❡ f s � t � t = LTC i ❡①♣ � LTC i f s ✭✶✮ s = ✶ P✉❜❧✐❝ ▲❚❈ ✐♥s✉r❛♥❝❡✿ GI = ✶✵ % ✭❉✐✛❡r❡♥t ❢r♦♠ ❡♠♣✐r✐❝❛❧ ✼✶✪ ❝♦✈❡r❡❞ ❜② ▼❡❞✐❝❛r❡ ❛♥❞ ▼❡❞✐❝❛✐❞✮ Pr✐✈❛t❡ ▲❚❈ ✐♥s✉r❛♥❝❡ ♣❛②✐♥❣ ♣r❡♠✐✉♠ ❛t ❛❣❡ ✻✺ ❝❤♦♦s✐♥❣ ❝♦✈❡r❛❣❡ [ ✵ , ✶ − GI ] ❛❝t✉❛r✐❛❧❧② ❢❛✐r ♣r❡♠✐✉♠ ❝❛❧❝✉❧❛t❡❞ ✉s✐♥❣ ❡st✐♠❛t❡❞ ❤❡❛❧t❤ ❞②♥❛♠✐❝s ❢✉♥❞s ▲❚❈ ❝♦sts ✇❤❡♥ s❡✈❡r❡❧② ❞✐s❛❜❧❡❞ ✭❙t❛t❡ ✸✮ ♦r ♠♦✈✐♥❣ t♦ ▲❚❈ ❢❛❝✐❧✐t✐❡s ✭❙t❛t❡ ✹✮ ✼✴✶✾

  11. ❍♦✉s❡ ❱❛❧✉❡ ▼♦❞❡❧ ❍♦✉s✐♥❣ ❝♦♥s✉♠♣t✐♦♥✿ ▲♦✇❡r ✇❤❡♥ ♠♦✈✐♥❣ ✐♥t♦ ▲❚❈ ❢❛❝✐❧✐t✐❡s ❈❛♣✐t❛❧ ●r♦✇t❤✿ ❆❘▼❆✲●❆❘❈❍ p q � � = ψ y + φ i y t − i + θ j z t − j + z t , y t i = ✶ j = ✶ m n σ ✷ � µ i σ ✷ � ν j z ✷ = ψ σ ✷ + t − i + t − j , ✭✷✮ t i = ✶ j = ✶ y t ✿ ❤♦✉s❡ ♣r✐❝❡ ❣r♦✇t❤ r❛t❡ σ ✷ t ✿ ❝♦♥❞✐t✐♦♥❛❧ ✈❛r✐❛♥❝❡ ❣✐✈❡♥ ✐♥❢♦r♠❛t✐♦♥ ✉♣ t♦ t − ✶ ❲❡ s❡❧❡❝t t❤❡ ♦♣t✐♠❛❧ ❧❛❣s ✐♥ t❤❡ ❆❘▼❆✲●❆❘❈❍ ♠♦❞❡❧ ✭▲✐ ❡t ❛❧✳ ✱ ✷✵✶✵❀ ❈❤❡♥ ❡t ❛❧✳ ✱ ✷✵✶✵✮ ❚❤❡ ♦♣t✐♠❛❧ s♣❡❝✐✜❝❛t✐♦♥ ✐s ❛ ❆❘▼❆✭✷✱✹✮✲●❆❘❈❍✭✶✱✶✮ ✽✴✶✾

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