A Generalised Sweep - Line Method forSafety

Sweep Line Algorithm for Convex Hull Revisited

Convex hull of some given points is the intersection of all convex sets containing them. It is used as primary structure in many other problems in computational geometry and other areas like image processing, model identification, geographical data systems, and triangular computation of a set of points and so on. Computing the convex hull of a set of point is one of the most fundamental and imp...

The sweep-line state space exploration method

The sweep-line method exploits intrinsic progress in concurrent systems to alleviate the state explosion problem in explicit state model checking. The concept of progress makes it possible to delete states from the memory during state space exploration and thereby reduce peak memory usage. The contribution of this paper is twofold. First, we provide a coherent presentation of the sweep-line the...

On Optimizing the Sweep-Line Method

For applying the sweep-line method, a state space reduction technique, it is necessary to provide an automatic calculation of a progress measure. In [1], such a calculation has been proposed for Petri nets. The approach presented there may lead to suboptimal results, therefore the author suggested possible optimizations. In this paper, we check whether the proposed optimization goals indeed lea...

Combining the Sweep-Line Method with the Use of an External-Memory Priority Queue

The sweep-line method is an explicit-state model checking technique that uses a notion of progress to delete states from internal memory during state space exploration and thereby reduce peak memory usage. The sweep-line algorithm relies on the use of a priority queue where the progress value assigned to a state determines the priority of the state. In earlier implementations of the sweep-line ...

On Combining the Sweep-Line and Equivalence Method