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V(i) = minₐ { Rᵢₐ + γ Σᵢ′ βᵃᵢᵢ′ V(i′) }
V̂(i) ← V̂(i) + α[ r̂ + γV̂(i′) − V̂(i) ]
δ = r̂ + γV̂(i′) − V̂(i)
e(i) ← γλ e(i) + 1
Q(i,a) ← α[ r̂ + γ minₐ′ Q(i′,a′) ] + (1−α)Q(i,a)
â = argminₐ Q(i,a)
βᵃᵢᵢ′ = Πₚ βᵃᵢₚᵢ′ₚ
V̂(i) ← V̂(i) + α δ e(i)
V̂(i) = minₐ Q(i,a)
V(i) ← α[ r̂ + γV(i′) ] + (1−α)V(i)
min E[ Σₜ γᵗ Rᵢₐ ]
Dₚ ~ Poisson(ηₚ)
ECₖ = λ yₖ (a/f) + γ βₖ a f² + γ s (µₖ + F) a
yₖ = kₖ Nₖ Vₖ
βₖ = 0.5 Cd Aₖ ρ
s = g sin φ + g Cr cos φ
λ = ξ/(κψ) γ = 1/(1000ε)
Σₖ Σⱼ Xᵢⱼₖ = 1 ∀i ∈ P
aᵢ − eᵢ ≤ Yᵢₖ ≤ bᵢ + lᵢ
Fᵢⱼₖ − Qₖ Xᵢⱼₖ ≤ 0
Yᵢₖ − Yⱼₖ + tᵢ + dᵢⱼ/Uᵢⱼₖ + d̄ᵢⱼ/Wᵢⱼₖ ≤ 0
Σᵣ Zʳᵢⱼₖ = Xᵢⱼₖ
Vˡᵢⱼₖ ≥ pₗ Zˡᵢⱼₖ
Σₖ Σⱼ Fⱼᵢₖ − Σₖ Σⱼ Fᵢⱼₖ = −qᵢ
Σₕ Zʰᵢⱼₖ = Xᵢⱼₖ
Σₖ Σᵢ F₀ᵢₖ = 0
Mustafa Çimen
Research · Teaching · Decision Support
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