We consider a Bayesian ranking and selection problem with independent normal rewards and a correlated multivariate normal belief on the mean values of these rewards. Because this formulation of the ranking and selection problem models dependence between alternatives’ mean values, algorithms may utilize this dependence to perform efficiently even when the number of alternatives is very large. We...

Let be a smooth domain on the unit sphere S whose closure is contained in an open hemisphere and denote by H the mean curvature of ∂ as a submanifold of with respect to the inward unit normal. It is proved that for each real number H that satisfies inf H > −H ≥ 0, there exists a unique radial graph on bounded by ∂ with constant mean curvature H . The orientation on the graph is based on the nor...

We prove isoperimetric inequalities for general parametric variational double integrals F , whose Lagrangians F depend on the position vector X and on the surface normal N. As an essential tool we introduce Sauvigny’s F -conformal parameters adapted to the parametric integrand and use the notion of generalized mean and Gaussian curvature adapted to the integrand. The special cases of minimal su...

This paper studies a single-stage production system, two-stage production system where specification limits are designed for inspection. When quality characteristics fall below a lower threshold or above an upper threshold, a decision is made to rework or scrap the item. The target is to determine the optimum target for a process based on rework or scrap costs. In contrast to previous studies, ...

A number of experimental newsvendor studies have shown that human subjects make decisions which coincide with a “pull-to-center” effect. In general, three behavioral theories have been proposed in the literature to explain this behavior: bounded rationality, mean anchoring, and minimizing ex post inventory regret. Unfortunately, these models generate similar predictions under symmetric demand d...