A Synchronized Sweep Algorithm for the k-Dimensional Cumulative Constraint

• This paper presents a sweep based algorithm for the k-dimensional Cumulative constraint, which can operate in filtering mode as well as in greedy assignment mode. Given n tasks and k resources, this algorithm has a worst-case time complexity of O(kn^2) but scales well in practice. In greedy assignment mode, it handles up to 1 million tasks with 64 resources in one single constraint in SICStus. In filtering mode, on our benchmarks, it yields a speed-up of about k^(3/4) when compared to its decomposition into k independent Cumulative constraints.

Ämnesord

NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

Nyckelord

Algorithms

Artificial intelligence

Constraint theory

Operations research

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