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Programação de Horários em Instituições Educacionais ... - Decom

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Ppd =<br />

⎧<br />

⎪⎨<br />

cpd = ˘cpd − ˘ dpd<br />

X <br />

˘xth ≤ min{ ˜mpt, ˜rpt} ∀t ∈ T<br />

h∈H<br />

˘cpd = ˘b.w ′<br />

p + ˘v.w ′′<br />

˘dpd =<br />

p<br />

µpd + X X<br />

νtdh.˘xth +<br />

t∈T h∈H<br />

X X<br />

.πpt.˘xth +<br />

t∈T h∈H<br />

X X<br />

a ≤<br />

t∈T<br />

X<br />

(+h − |H|).˘xth + |H| ∀h ∈ H<br />

a ≥<br />

t∈T X<br />

h.˘xth ∀h ∈ H<br />

˘b =<br />

t∈T X X<br />

1 + a − a − ˘xth<br />

X<br />

t∈T h∈H<br />

˘xth ≤ ˜ppdh.˘v h ∈ H<br />

t∈T<br />

<br />

h∈ b ˘yth.κpt<br />

Gpd ⎪⎩<br />

˘yth ≤ ˘xth ∀t ∈ T, h ∈ b ˘yth ≤<br />

Gpd<br />

˘xth+1 ∀t ∈ T, h ∈ b ˘yth ≥<br />

Gpd<br />

˘xth + ˘xth+1 − 1 ∀t ∈ T, h ∈ b ˘xth ∈ {0, 1}<br />

˘yth ∈ {0, 1}<br />

Gpd<br />

∀t ∈ T, h ∈ H<br />

∀t ∈ T, H ∈ b ˘v ∈ {0, 1}<br />

a ∈ IN<br />

a ∈ IN<br />

˘b ∈ IN<br />

Gpd<br />

Ppd ∀p ∈ P, d ∈ D <br />

|P | × |D| <br />

F2r ∄ cpd < 0 ∀p ∈ P, d ∈ D <br />

Ppd <br />

<br />

<br />

<br />

|H| |H| <br />

˜mpt <br />

<br />

<br />

F2 <br />

F1 <br />

<br />

<br />

F2 <br />

<br />

F ′ 2 ăpdh p <br />

h d ăpdh = 1 ăpdh = 0 <br />

ăptdh p h <br />

t d ăptdh = 1 ăptdh = 0 ˘ Ppdh <br />

˘ Ppd ˘ Ppdh <br />

h ˘ Pptdh ˘ Ppd <br />

XXXIX SBPO [2872]

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