P3 C

A new algorithm for the Simple Temporal Problem

Conference Paper (2008)
Author(s)

Léon Planken (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Mathijs De Weerdt (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Roman Van Der Krogt (Cork Constraint Computation Centre)

Research Group
Algorithmics
More Info
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Publication Year
2008
Language
English
Research Group
Algorithmics
Pages (from-to)
256-263
ISBN (print)
9781577353867
Event
18th International Conference on Automated Planning and Scheduling, ICAPS 2008 (2008-09-14 - 2008-09-18), Sydney, NSW, Australia
Downloads counter
218

Abstract

The Simple Temporal Problem (STP) is a sub-problem of almost any planning or scheduling problem involving time constraints. An existing efficient method to solve the STP, called ΔSTP, is based on partial path consistency and starts from a chordal constraint graph. In this paper, we analyse this algorithm and show that there exist instances for which its time complexity is quadratic in the number of triangles in the constraint graph. We propose a new algorithm, P3C, whose worst-case time complexity is linear in the number of triangles. We show both formally and experimentally that P3C outperforms ΔSTP significantly.

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