In this paper, a parallelized version of multivariate adaptive regression splines (MARS, Friedman 1991) is developed and utilized within a decision-making framework (DMF) based on an OA/MARS continuous-state stochastic dynamic programming (SDP) method (Chen et al. 1999). The DMF is used to evaluate current and emerging technologies for the multi-level liquid line of a wastewater treatment syste...

We consider the expected number of Voronoi vertices (or number of Delaunay cells for the dual structure) for a set of n i.i.d. random point sites chosen uniformly from the unit d-hypercube [0, 1]. We show an upper bound for this number which is linear in n, the number of random point sites, where d is assumed to be a constant. This result matches the trivial lower bound of n. This is an open pr...