min{E[Overbooking   Cost]}w.r.t   to   AUE[Overbooking   Cost]=(∑_(n=0)^(μ+3σ))P(x=n)×{(SPCost(max[n-(AU-CAP),0])(+DBCost(max[n-(AU-CAP),0])))
subject   to:   CAP≤AU≤1.12×CAP
where:   n∼Binomial (AU,p=No   Show   Rate)
P(x=n)≡((AUn))(((p^n)(1-p))^(AU-n))
μ=AU×p,σ=(Sqrt[AU×p×(1-p)])