This paper describes a heuristic to build piecewise linear statistical mode
ls with multivariate thresholds, based on a Greedy Randomized Adaptive Sear
ch Procedure (GRASP). GRASP is an iterative randomized sampling technique t
hat has been shown to quickly produce good quality solutions for a wide var
iety of optimization problems. In this paper we describe a GRASP to sequent
ially split an n-dimensional space in order to build a piecewise linear tim
e series model.