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Home / Proceedings / Proceedings of the International Conference on Automated Planning and Scheduling

Where Ignoring Delete Lists Works, Part II: Causal Graphs

February 1, 2023

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Authors

Joerg Hoffmann

INRIA


DOI:

10.1609/icaps.v21i1.13469


Abstract:

The ignoring delete lists relaxation is of paramount importance for both satisficing and optimal planning. In earlier work (Hoffmann 2005), it was observed that the optimal relaxation heuristic h+ has amazing qualities in many classical planning benchmarks, in particular pertaining to the complete absence of local minima. The proofs of this are hand-made, raising the question whether such proofs can be lead automatically by domain analysis techniques. In contrast to earlier disappointing results (Hoffmann 2005) — the analysis method has exponential runtime and succeeds only in two extremely simple benchmark domains — we herein answer this question in the affirmative. We establish connections between causal graph structure and h+ topology. This results in low-order polynomial time analysis methods, implemented in a tool we call TorchLight. Of the 12 domains where the absence of local minima has been proved, TorchLight gives strong success guarantees in 8 domains. Empirically, its analysis exhibits strong performance in a further 2 of these domains, plus in 4 more domains where local minima may exist but are rare. In this way, TorchLight can distinguish ``easy'' domains from "hard" ones. By summarizing structural reasons for analysis failure, TorchLight also provides diagnostic output indicating domain aspects that may cause local minima.

Topics: ICAPS

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HOW TO CITE:

Joerg Hoffmann Where Ignoring Delete Lists Works, Part II: Causal Graphs Proceedings of the International Conference on Automated Planning and Scheduling (2011) 98-105.

Joerg Hoffmann Where Ignoring Delete Lists Works, Part II: Causal Graphs ICAPS 2011, 98-105.

Joerg Hoffmann (2011). Where Ignoring Delete Lists Works, Part II: Causal Graphs. Proceedings of the International Conference on Automated Planning and Scheduling, 98-105.

Joerg Hoffmann. Where Ignoring Delete Lists Works, Part II: Causal Graphs. Proceedings of the International Conference on Automated Planning and Scheduling 2011 p.98-105.

Joerg Hoffmann. 2011. Where Ignoring Delete Lists Works, Part II: Causal Graphs. "Proceedings of the International Conference on Automated Planning and Scheduling". 98-105.

Joerg Hoffmann. (2011) "Where Ignoring Delete Lists Works, Part II: Causal Graphs", Proceedings of the International Conference on Automated Planning and Scheduling, p.98-105

Joerg Hoffmann, "Where Ignoring Delete Lists Works, Part II: Causal Graphs", ICAPS, p.98-105, 2011.

Joerg Hoffmann. "Where Ignoring Delete Lists Works, Part II: Causal Graphs". Proceedings of the International Conference on Automated Planning and Scheduling, 2011, p.98-105.

Joerg Hoffmann. "Where Ignoring Delete Lists Works, Part II: Causal Graphs". Proceedings of the International Conference on Automated Planning and Scheduling, (2011): 98-105.

Joerg Hoffmann. Where Ignoring Delete Lists Works, Part II: Causal Graphs. ICAPS[Internet]. 2011[cited 2023]; 98-105.


ISSN: 2334-0843


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