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SLIDE 1

▼♦❞❡❧✐♥❣ ❛♥❞ ❆♥❛❧②s✐s ♦❢ ❙✐♠♣❧❡ ▼❛r❦❡t ❙tr❛t❡❣✐❡s

❆❧❡①❛♥❞❡r ❘✳ ❇❧♦❝❦ ❏✉❧② ✶✼✱ ✷✵✶✼

✶ ✴ ✷✹

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SLIDE 2

■♥tr♦❞✉❝t✐♦♥

❚❤✐s ♣r♦❥❡❝t ❛✐♠s t♦ ♦❜s❡r✈❡ ✇❤❛t ❤❛♣♣❡♥s ✇❤❡♥ s✐♠♣❧❡ ♠❛r❦❡t str❛t❡❣✐❡s ❛r❡ ✉s❡❞ ✐♥ ❛ ♣❛rt✐❝✉❧❛r ♠❛r❦❡t ♣❧❛❝❡✳ ▼♦❞❡❧✐♥❣ ❜❛s❡❞ ♦♥ r❡❛❧✲✈❛❧✉❡❞ ❢✉♥❝t✐♦♥s✳ ❙✐♠♣❧❡ s♦❢t✇❛r❡ ❞❡✈❡❧♦♣❡❞ ✐♥ ❙❛❣❡▼❛t❤ ❬❙+✶✼❪ ✭❛r❜✐tr❛r② ♣r❡❝✐s✐♦♥ ❝♦♠♣✉t✐♥❣✮ t♦ tr❛❝❦ st❛t✐st✐❝s ❛♥❞ ♣❧♦t ❞❛t❛ ❢♦r ❛♥❛❧②s✐s✳

✷ ✴ ✷✹

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SLIDE 3

▼♦❞❡❧

❲❡ ❛♥❛❧②③❡ t❤❡ ❢♦❧❧♦✇✐♥❣ ♠♦❞❡❧✳

◮ ❚❤❡r❡ ✐s ❛ ♠❛r❦❡t ♣❧❛❝❡ ❢♦r ♦♥❡ ♣r♦❞✉❝t✱ ✇✐t❤ n s❡❧❧❡rs ❛♥❞ ❛ ♠❛r❦❡t

♣r✐❝❡ mp✳

◮ ❊❛❝❤ s❡❧❧❡r ❤❛s ❛ ♣r✐❝✐♥❣ str❛t❡❣② ✇❤✐❝❤ ❞❡♣❡♥❞s ♦♥ ❛t ♠♦st (n − 1)

♦t❤❡r s❡❧❧❡rs ❛♥❞✴♦r t❤❡ ❝✉rr❡♥t ♦r st❛rt✐♥❣ ♠❛r❦❡t ♣r✐❝❡✳

◮ ❊❛❝❤ s❡❧❧❡r ❤❛s ❛♥ ✐♥✐t✐❛❧ ♣r✐❝❡ ❢♦r t❤❡ ♠❛r❦❡t✳ ◮ ❚❤❡ ♠❛r❦❡t ♣r✐❝❡ ❛❧s♦ ❤❛s ❛ str❛t❡❣②✳

❚❤✐s ♠♦❞❡❧ ❝❛♥ ❜❡ t❤♦✉❣❤t ♦❢ ❛s ❛ s❡❧❧❡r✬s ♦♥❧② ♠❛r❦❡t✱ ✇❤❡r❡ t❤❡ ♣r✐❝✐♥❣ str❛t❡❣✐❡s ♦❢ t❤❡ s❡❧❧❡rs ✐s t❤❡ s♦❧❡ ❞❡t❡r♠✐♥❛♥t ♦❢ t❤❡ ♠❛r❦❡t ❛s ❛ ✇❤♦❧❡✳

✸ ✴ ✷✹

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SLIDE 4

▼♦❞❡❧

❊①♣❡r✐♠❡♥ts ✐♥ t❤✐s ♠♦❞❡❧ ❢♦❧❧♦✇ t❤❡ ❢♦❧❧♦✇✐♥❣ ♦✉t❧✐♥❡✳

◮ ❚❤❡ ♠❛r❦❡t s♣❛♥s ♦✈❡r t r♦✉♥❞s ♦r t✐♠❡ ✐♥st❛♥❝❡s✳ ◮ ❉✉r✐♥❣ ❛ r♦✉♥❞ ti✱ ✇❡ ❞❡t❡r♠✐♥❡ ✇❤✐❝❤ s❡❧❧❡r✭s✮ ❛♣♣❧② t❤❡✐r ♣r✐❝✐♥❣

str❛t❡❣②✭✲✐❡s✮ ❛♥❞ ✉♣❞❛t❡ t❤❡✐r ♣r✐❝❡✭s✮✳

◮ ❆t t❤❡ ❡♥❞ ♦❢ ❛ r♦✉♥❞ ti✱ t❤❡ ♠❛r❦❡t ♣r✐❝❡ ✐s ✉♣❞❛t❡❞✳ ✹ ✴ ✷✹

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SLIDE 5

▼♦❞❡❧

▼♦❞❡❧ ✐s ❜r♦❛❞ ✐♥ ♦r❞❡r t♦ ❛❧❧♦✇ ❛ ✇✐❞❡r r❛♥❣❡ ♦❢ ♣♦ss✐❜❧❡ r❡s✉❧ts ❛♥❞ ♦❜s❡r✈❛t✐♦♥s✱ ❜✉t ❛t t❤❡ s❛♠❡ t✐♠❡ ✐s ❧✐♠✐t❡❞✳

◮ ◆♦ ❝❧❛ss✐❝❛❧ s✉♣♣❧② ❛♥❞ ❞❡♠❛♥❞ ❢♦r ❡①❛♠♣❧❡✳

▼❛♥② ♣❛r❛♠❡t❡rs ❛r❡ ✜①❡❞ t♦ ❛❧❧♦✇ ❝♦♠♣❛r❛❜❧❡ r❡s✉❧ts t♦ ❜❡ ❣❡♥❡r❛t❡❞✳

  • ❡♥❡r❛❧ ❛ss✉♠♣t✐♦♥s

◮ ❙❡❧❧❡rs ❝❛♥♥♦t ♣r✐❝❡ ❜❡❧♦✇ ✩✵✳ ◮ ❙❡❧❧❡rs ♠❛② ♥♦t ✉♣❞❛t❡ t❤❡✐r ♣r✐❝❡ ♠♦r❡ t❤❛♥ ♦♥❝❡ ♣❡r r♦✉♥❞✳ ◮ ❊❛❝❤ s❡❧❧❡r str❛t❡❣② ✐s r♦✉♥❞ ✐♥❞❡♣❡♥❞❡♥t✳

❋✐①❡❞ ▼❛r❦❡t Pr✐❝❡ ❙tr❛t❡❣②

◮ t❤❡ ❛✈❡r❛❣❡ ♦❢ ❛❧❧ s❡❧❧❡r ♣r✐❝❡s ❛t t❤❡ ❡♥❞ ♦❢ r♦✉♥❞ ti✳ ✺ ✴ ✷✹

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SLIDE 6

❙❡❧❧❡r ❙tr❛t❡❣✐❡s

  • ✉✐❞❡❧✐♥❡ ❢♦r s❡❧❧❡r str❛t❡❣✐❡s

◮ ❉❡t❡r♠✐♥✐st✐❝ ✈s✳ ◆♦♥❞❡t❡r♠✐♥✐st✐❝ ◮ ❯♥❜♦✉♥❞❡❞ ✈s✳ ❇♦✉♥❞❡❞

❊①♣❡r✐♠❡♥ts ❛r❡ ♣❡r❢♦r♠❡❞ ✇✐t❤ ❡❛❝❤ ♦❢ t❤❡ ❛❜♦✈❡ ❝♦♠❜✐♥❛t✐♦♥s✱ ✐♥ ❛❞❞✐t✐♦♥ t♦ ❛ ♠✐① ♦❢ ❜♦✉♥❞❡❞ ❛♥❞ ✉♥❜♦✉♥❞❡❞ ❝♦♥str❛✐♥ts✳

◮ ❋♦r ❞❡t❡r♠✐♥✐st✐❝ str❛t❡❣② ❡①♣❡r✐♠❡♥ts✱ ❛❧❧ s❡❧❧❡rs ❤❛✈❡ ❞❡t❡r♠✐♥✐st✐❝

str❛t❡❣✐❡s✳

◮ ❋♦r ♥♦♥❞❡t❡r♠✐♥✐st✐❝✱ ❛t ❧❡❛st ♦♥❡ s❡❧❧❡r ♠✉st ❤❛✈❡ ❛

♥♦♥❞❡t❡r♠✐♥✐st✐❝ str❛t❡❣②✳

✻ ✴ ✷✹

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SLIDE 7

❙❡❧❧❡r ❙tr❛t❡❣✐❡s ❛♥❞ ▼❛r❦❡t ❙❦❡✇

❲❤❛t ✐s ▼❛r❦❡t ❙❦❡✇❄

◮ ❲❤❡♥ t❤❡ str❛t❡❣✐❡s ♦❢ t❤❡ s❡❧❧❡r ♣✉❧❧ t❤❡ ♠❛r❦❡t ✉♣✇❛r❞s ♦r

❞♦✇♥✇❛r❞s ✭✐♥ t❡r♠s ♦❢ ♣r✐❝❡✮✳

❚❤r❡❡ ♣♦ss✐❜❧❡✿ ▲♦✇✲❙❦❡✇✱ ◆♦✲❙❦❡✇✱ ❛♥❞ ❍✐❣❤✲❙❦❡✇

◮ ▲♦✇✲❙❦❡✇ ✐♥❤❡r❡♥t❧② ✢♦♦r❡❞ ❛t ✩✵ ❜② ♦✉r ❛ss✉♠♣t✐♦♥s✱ ❜✉t ✐s

♦t❤❡r✇✐s❡ s②♠♠❡tr✐❝ t♦ ❍✐❣❤✲❙❦❡✇✳

◮ ◆♦✲❙❦❡✇ ♠❡❛♥s r♦✉❣❤❧② ♦♥ ❛✈❡r❛❣❡✱ t❤❡ ♠❛r❦❡t ❞♦❡s♥✬t s❦❡✇ ✉♣ ♦r

❞♦✇♥ ✏t♦♦ ♠✉❝❤✑✳

◮ ❍✐❣❤✲❙❦❡✇ ♥♦t ❝♦♥s✐❞❡r❡❞✱ ❛s ✐t ✐s s②♠♠❡tr✐❝ t♦ ▲♦✇✲❙❦❡✇

✭❡s♣❡❝✐❛❧❧② ✇❤❡♥ ❛ ♠❛r❦❡t ❝❛♣ ✐s ♣r♦✈✐❞❡❞✮✳

❇r♦❛❞ ❝❛t❡❣♦r✐③❛t✐♦♥✱ ❞♦❡s ♥♦t ❞✐st✐♥❣✉✐s❤ ❜❡t✇❡❡♥ t❤❡ r❛t❡ ❛t ✇❤✐❝❤ ❛ ♠❛r❦❡t s❦❡✇s ✐♥ ❛ ♣❛rt✐❝✉❧❛r ❞✐r❡❝t✐♦♥✳

✼ ✴ ✷✹

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SLIDE 8

❊①♣❡r✐♠❡♥t P❛r❛♠❡t❡rs

❍♦✇ t♦ ❝❤♦♦s❡ ❛ s❡❧❧❡r t♦ ✉♣❞❛t❡ t❤❡✐r ♣r✐❝❡ ✐♥ ❛ r♦✉♥❞❄

◮ ❖♥❡ ❘❛♥❞♦♠ ❙❡❧❧❡r✿ ♦♥❡ s❡❧❧❡r ❝❤♦s❡♥ ✉♥✐❢♦r♠❧② ❛t r❛♥❞♦♠ ♦✉t ♦❢ n✳ ◮ ❚✇♦ ❘❛♥❞♦♠ ❙❡❧❧❡rs✿ t✇♦ ❞✐st✐♥❝t s❡❧❧❡rs ❝❤♦s❡♥ ✉♥✐❢♦r♠❧② ❛t

r❛♥❞♦♠✳

◮ ❆❧❧ ❙❡❧❧❡rs✿ ❡❛❝❤ s❡❧❧❡r ✉♣❞❛t❡s t❤❡✐r ♣r✐❝❡

▼♦r❡ ♣❛r❛♠❡t❡r ✜①✐♥❣

◮ ◆✉♠❜❡r ♦❢ r♦✉♥❞s✿ t = 500✳ ◮ ◆✉♠❜❡r ♦❢ s❡❧❧❡r✿ n = 5 ❛♥❞ n = 10✳ ◮ ❙t❛rt✐♥❣ ♠❛r❦❡t ♣r✐❝❡✿ smp = $2500✳

❙t✐❧❧ ❛ ❣r❡❛t ❞❡❣r❡❡ ♦❢ ❢r❡❡❞♦♠ ❧❡❢t ✐♥ t❤❡ ♠♦❞❡❧ ❜❡❝❛✉s❡ ♦❢ s❡❧❧❡r str❛t❡❣✐❡s✳ ❲❡ r✉♥ ❡❛❝❤ ❡①♣❡r✐♠❡♥t ❢♦r ✷✵ tr✐❛❧s❀ ✐✳❡✳✱ ❛t t❤❡ ❡♥❞ ♦❢ ✺✵✵ r♦✉♥❞s✱ st❛t✐st✐❝s ❛r❡ ❝♦❧❧❡❝t❡❞✱ t❤❡ ♠❛r❦❡t ✐s r❡s❡t✱ ❛♥❞ t❤❡ ❡①♣❡r✐♠❡♥t ✐s r✉♥ ❛❣❛✐♥✳

✽ ✴ ✷✹

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SLIDE 9

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

◆♦♥❞❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞ ◆♦♥❞❡t❡r♠✐♥✐st✐❝ ❇♦✉♥❞❡❞ ◆♦♥❞❡t❡r♠✐♥✐st✐❝ ▼✐① ❙❡❧❧❡r ✶ f1(x[n]) = ave

i

{xi} − rr (5, 16) g1(x[n]) = max

  • 100, f1(x[n])
  • h1(x[n]) = g1(x[n])

❙❡❧❧❡r ✷ f2(x[n]) =

rr(145,161) 100

ave

i

{xi} g2(x[n]) = min

  • 5(mp), f2(x[n])
  • h2(x[n]) = f2(x[n])

❙❡❧❧❡r ✸ f3(x[n]) =

rr(67,74) 100

ave

i

{xi} g3(x[n]) = max

  • 0.15(mp), f3(x[n])
  • h3(x[n]) = f3(x[n])

❙❡❧❧❡r ✹ f4(x[n]) =

rr(75,86) 100

mini{xi} g4(x[n]) = max

  • 75, f4(x[n])
  • h4(x[n]) = g4(x[n])

❙❡❧❧❡r ✺ f5(x[n]) = ave

xi<mp {xi} − rr (20, 31)

g5(x[n]) = max

  • 0.1(smp), f5(x[n])
  • h5(x[n]) = f5(x[n])

❙❡❧❧❡r ✻ f6(x[n]) =

rr(107,116) 100

maxi{xi} g6(x[n]) = min

  • 3(smp), f6(x[n])
  • h6(x[n]) = f6(x[n])

❙❡❧❧❡r ✼ f7(x[n]) = min

xi0.75(mp){xi} −

rr (9, 21) g7(x[n]) = max

  • 50, f7(x[n])
  • h7(x[n]) = g7(x[n])

❙❡❧❧❡r ✽ f8(x[n]) =

75 100

ave

i ❡✈❡♥ {xi}

g8(x[n]) = max

  • 100, f8(x[n])
  • h8(x[n]) = g8(x[n])

❙❡❧❧❡r ✾ f9(x[n]) =

rr(120,136) 100

ave

i ♦❞❞ {xi}

g9(x[n]) = min

  • 500 + (mp), f9(x[n])
  • h9(x[n]) = f9(x[n])

❙❡❧❧❡r ✶✵ f10(x[n]) = ave

i

{xi} g10(x[n]) = max

  • 60, f10(x[n])
  • h10(x[n]) = g10(x[n])

✾ ✴ ✷✹

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SLIDE 10

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✶✿ ❉❛t❛ ♣❧♦ts ❢♦r ▲♦✇✲❙❦❡✇✱ ✺ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✵ ✴ ✷✹

slide-11
SLIDE 11

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✷✿ ❉❛t❛ ♣❧♦ts ❢♦r ▲♦✇✲❙❦❡✇✱ ✺ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ❇♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✶ ✴ ✷✹

slide-12
SLIDE 12

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✸✿ ❉❛t❛ ♣❧♦ts ❢♦r ▲♦✇✲❙❦❡✇✱ ✺ ❙❡❧❧❡rs✱ ◆♦♥❞❡t❡r♠✐♥✐st✐❝ ❇♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✷ ✴ ✷✹

slide-13
SLIDE 13

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✹✿ ❉❛t❛ ♣❧♦ts ❢♦r ▲♦✇✲❙❦❡✇✱ ✶✵ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✸ ✴ ✷✹

slide-14
SLIDE 14

❘❡s✉❧ts ❢r♦♠ ❛ ▲♦✇✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✺✿ ❉❛t❛ ♣❧♦ts ❢♦r ▲♦✇✲❙❦❡✇✱ ✶✵ ❙❡❧❧❡rs✱ ◆♦♥❞❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞✳

❈❧♦❝❦✇✐s❡ ❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✹ ✴ ✷✹

slide-15
SLIDE 15

❘❡s✉❧ts ❢r♦♠ ❛ ◆♦✲❙❦❡✇ ▼❛r❦❡t

❉❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞ ❉❡t❡r♠✐♥✐st✐❝ ❇♦✉♥❞❡❞ ❉❡t❡r♠✐♥✐st✐❝ ▼✐① ❙❡❧❧❡r ✶ f1(x[n]) = ave

i

{xi} g1(x[n]) = max{0.3(smp), f1(x[n])} h1(x[n]) = g1(x[n]) ❙❡❧❧❡r ✷ f2(x[n]) = 1.613

  • ave

i

{xi}

  • g2(x[n]) =

min{4000, f2(x[n])} h2(x[n]) = f2(x[n]) ❙❡❧❧❡r ✸ f3(x[n]) = 0.55

  • ave

i

{xi}

  • g3(x[n]) =

max{500, f3(x[n])} h3(x[n]) = f3(x[n]) ❙❡❧❧❡r ✹ f4(x[n]) = 1.1 (mini{xi}) g4(x[n]) = max{0.5(mp), f4(x[n])} h4(x[n]) = g4(x[n]) ❙❡❧❧❡r ✺ f5(x[n]) = 0.9 (maxi{xi}) g5(x[n]) = min{mp + 1500, f5(x[n])} h5(x[n]) = f5(x[n]) ✶✺ ✴ ✷✹

slide-16
SLIDE 16

❘❡s✉❧ts ❢r♦♠ ❛ ◆♦✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✻✿ ❉❛t❛ ♣❧♦ts ❢♦r ◆♦✲❙❦❡✇✱ ✶✵ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ❯♥❜♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✻ ✴ ✷✹

slide-17
SLIDE 17

❘❡s✉❧ts ❢r♦♠ ❛ ◆♦✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✼✿ ❉❛t❛ ♣❧♦ts ❢♦r ◆♦✲❙❦❡✇✱ ✶✵ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ❇♦✉♥❞❡❞✳ ❈❧♦❝❦✇✐s❡

❢r♦♠ t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳ ▼❛r❦❡t Pr✐❝❡ ✐♥ ❜❧❛❝❦✳

✶✼ ✴ ✷✹

slide-18
SLIDE 18

❘❡s✉❧ts ❢r♦♠ ❛ ◆♦✲❙❦❡✇ ▼❛r❦❡t

❋✐❣✉r❡ ✽✿ ❉❛t❛ ♣❧♦ts ❢♦r ◆♦✲❙❦❡✇✱ ✶✵ ❙❡❧❧❡rs✱ ❉❡t❡r♠✐♥✐st✐❝ ▼✐①✳ ❈❧♦❝❦✇✐s❡ ❢r♦♠

t❤❡ t♦♣ ❧❡❢t✿ ❖♥❡ ❯♣❞❛t❡✱ ❚✇♦ ❯♣❞❛t❡s✱ ❆❧❧ ❯♣❞❛t❡✳ ❚❤❡ x✲❛①✐s ✐s ♥✉♠❜❡r ♦❢ r♦✉♥❞s t❀ t❤❡ y✲❛①✐s ✐s ♣r✐❝❡ ✐♥ ❞♦❧❧❛rs✳

✶✽ ✴ ✷✹

slide-19
SLIDE 19

❘❡s✉❧ts ❢r♦♠ Pr♦❣r❛♠ ❚❡st✐♥❣

❚❤❡s❡ r❡s✉❧ts ✇❡r❡♥✬t ❢♦r♠❛❧❧② ♣❛rt ♦❢ t❤❡ ♦✈❡r❛❧❧ ❡①♣❡r✐♠❡♥ts✱ ❜✉t ❛r❡ ✐♥t❡r❡st✐♥❣ t♦ ♠❡♥t✐♦♥ ❛♥❞ ♣✉t ✐♥ t❤❡ r❡♣♦rt✳ ▼♦r❡ ♦r ❧❡ss ❛❝❤✐❡✈❡❞ ✇❤❛t ■ t❤♦✉❣❤t ♦❢ ❛s ❛ ✏r❡❛❧✐st✐❝✑ ❧♦♦❦✐♥❣ ♠❛r❦❡t✳ ❍❛s ✺ s❡❧❧❡rs✱ ♠✐① ♦❢ ❜♦✉♥❞❡❞ ❛♥❞ ✉♥❜♦✉♥❞❡❞ ❢✉♥❝t✐♦♥s✳ ✷ ♦❢ ✺ s❡❧❧❡rs ❤❛✈❡ ♥♦♥❞❡t❡r♠✐♥✐st✐❝ str❛t❡❣✐❡s✳

✶✾ ✴ ✷✹

slide-20
SLIDE 20

❘❡s✉❧ts ❢r♦♠ Pr♦❣r❛♠ ❚❡st✐♥❣

❚❤❡ ❢✉♥❝t✐♦♥s ❢r♦♠ t❤✐s t❡st✐♥❣

◮ f1(x[n]) = 0.9(ave {xi}) ◮ f2(x[n]) = min{1.05(mp), 1.1(ave {xi})} ◮

f3(x[n]) = { b = rr (0, 4) ✐❢ b == 0 : r❡t✉r♥ 1.25(mp) ❡❧s❡✿ r❡t✉r♥ 0.95(mp) }

◮ f4(x[n]) = ⋆ ❞♦ ♥♦t ❡①❝❡❡❞ 1.2(mp) ⋆ ❞♦ ♥♦t ❣♦ ❜❡❧♦✇ 0.85(mp) ⋆ ♦t❤❡r✇✐s❡✱ r❡t✉r♥ i i nxi ◮ f5(x[n]) = max{(rr (65, 76) /100)(mp), 80} ✷✵ ✴ ✷✹

slide-21
SLIDE 21

❘❡s✉❧ts ❢r♦♠ Pr♦❣r❛♠ ❚❡st✐♥❣

✷✶ ✴ ✷✹

slide-22
SLIDE 22

❘❡s✉❧ts ❢r♦♠ Pr♦❣r❛♠ ❚❡st✐♥❣

✷✷ ✴ ✷✹

slide-23
SLIDE 23

❈♦♥❝❧✉s✐♦♥s

Pr✐❝✐♥❣ ♣✉r❡❧② ❜❛s❡❞ ♦♥ ♦t❤❡r s❡❧❧❡rs ❛♥❞ ♠❛r❦❡t ♣r✐❝❡ ❝❛♥ q✉✐❝❦❧② ❢❛❧❧ ♣r❡② t♦ ❣r♦✉♣s ✇❤♦ ✉♥❞❡r❝✉t✴♦✈❡r❝✉t t❤❡ ♠❛r❦❡t ♣r✐❝❡✳ ❊✈❡♥ r❛♥❞♦♠♥❡ss ✐♥ ❞❡t❡r♠✐♥✐♥❣ ✇❤✐❝❤ s❡❧❧❡rs ✉♣❞❛t❡ t❤❡✐r ♣r✐❝❡s ❞♦❡s♥✬t ❤❡❧♣ ♠✉❝❤ ✭t❤✐♥❦ ❡①♣❡❝t❛t✐♦♥ ♦✈❡r ❛ ❧❛r❣❡ ♥✉♠❜❡r ♦❢ tr✐❛❧s✮✳ ❘❛♥❞♦♠♥❡ss ✐♥ s❡❧❧❡r str❛t❡❣✐❡s ❝♦♥tr✐❜✉t❡s ♠♦r❡ t❤❛♥ t❤❡ r❛♥❞♦♠♥❡ss t❡st❡❞ ✐♥ ❞❡t❡r♠✐♥✐♥❣ s❡❧❧❡r ✉♣❞❛t❡s ✭✐♥ t❤❡s❡ ❡①♣❡r✐♠❡♥ts✮✳ ❉✐✣❝✉❧t ✇✐t❤ t❤✐s ♠♦❞❡❧ t♦ ❣❡t ❛ r❡❧❛t✐✈❡❧② ✏st❛❜❧❡✑ ♥♦✲s❦❡✇ ♠❛r❦❡t ✇❤❡♥ tr②✐♥❣ ♠♦r❡ ✐♥t✉✐t✐✈❡ ❢✉♥❝t✐♦♥s ✭✐✳❡✳✱ ❤❛✈✐♥❣ t✇♦ s❡❧❧❡r str❛t❡❣✐❡s ❞❡s✐❣♥❡❞ t♦ ❝❛♥❝❡❧ ❡❛❝❤ ♦t❤❡r✮✳ ▼✉❝❤ r♦♦♠ ❢♦r ♦t❤❡r t❡st✐♥❣✱ ❞✐✛❡r❡♥t ❢✉♥❝t✐♦♥s✱ ❞✐✛❡r❡♥t ♠❛r❦❡t ♣r✐❝❡ ✉♣❞❛t❡ str❛t❡❣✐❡s✱ ❞✐✛❡r❡♥t s❡❧❧❡r ❝❤♦✐❝❡ str❛t❡❣✐❡s✱ ❛ss✉♠♣t✐♦♥s✱ ✳ ✳ ✳

✷✸ ✴ ✷✹

slide-24
SLIDE 24

❚❤❛♥❦ ❨♦✉✦

❆♥② q✉❡st✐♦♥s❄

✷✹ ✴ ✷✹

slide-25
SLIDE 25

❬❙+✶✼❪ ❲✳ ❆✳ ❙t❡✐♥ ❡t ❛❧✳ ❙❛❣❡ ▼❛t❤❡♠❛t✐❝s ❙♦❢t✇❛r❡ ✭❱❡rs✐♦♥ ✼✳✹✳✯✮✳ ❚❤❡ ❙❛❣❡ ❉❡✈❡❧♦♣♠❡♥t ❚❡❛♠✱ ✷✵✶✼✳ ❤tt♣✿✴✴✇✇✇✳s❛❣❡♠❛t❤✳♦r❣✳

✷✹ ✴ ✷✹