Bounded homotopies were proposed by Paloschi (1995) for dense problems, later extended in Paloschi (1997) for sparse ones. These new homotopies have a bounded path, i.e., it can be ensured that the homotopy path will stay within a prescribed domain. This is particularly important when dealing with physical properties packages. In this paper, the sparse bounded homotopies are implemented and tested within the simulation package SPEEDUP (Aspen Technology Inc). The code PITCON is used to follow the continuation path. Two flowsheeting examples are used. One involves a small network of heat exchangers, where the bounded homotopy is used to avoid unwanted solutions. The other example uses physical properties and shows how the homotopy keeps the path within the region where the physical properties can be evaluated without difficulties. (C) 1998 Elsevier Science Ltd. All rights reserved.