Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence 2020
DOI: 10.24963/ijcai.2020/564
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Delete- and Ordering-Relaxation Heuristics for HTN Planning

Abstract: In HTN planning, the hierarchy has a wide impact on solutions. First, there is (usually) no state-based goal given, the objective is given via the hierarchy. Second, it enforces actions to be in a plan. Third, planners are not allowed to add actions apart from those introduced via decomposition, i.e. via the hierarchy. However, no heuristic considers the interplay of hierarchy and actions in the plan exactly (without relaxation) because this makes heuristic calculation NP-hard even under delete relaxat… Show more

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Cited by 6 publications
(8 citation statements)
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“…Directly motivated by the design of heuristics, we also investigated the complexity of delete‐relaxed HTN problems with empty ordering constraints. We showed this problem to be NP‐complete (Höller, Bercher, and Behnke 2020), which is in line with results by Alford et al. (2014) who showed it for delete‐relaxed HTN problems (i.e., without the relaxation of ignoring all ordering constraints).…”
Section: Theoretical Investigationssupporting
confidence: 89%
See 1 more Smart Citation
“…Directly motivated by the design of heuristics, we also investigated the complexity of delete‐relaxed HTN problems with empty ordering constraints. We showed this problem to be NP‐complete (Höller, Bercher, and Behnke 2020), which is in line with results by Alford et al. (2014) who showed it for delete‐relaxed HTN problems (i.e., without the relaxation of ignoring all ordering constraints).…”
Section: Theoretical Investigationssupporting
confidence: 89%
“…Section 3.2 mentioned that we proved NP‐completeness of delete‐ and ordering‐free HTN problems (Höller, Bercher, and Behnke 2020). In the same work, we exploit this by encoding this problem into an ILP, one of the best‐known frameworks for efficiently solving NP‐complete problems.…”
Section: Heuristic Search In Htn Planningmentioning
confidence: 99%
“…• Plan space search [15,16,18,21,22] • Progression search [31][32][33][34]36] • Compilation to propositional logic for…”
Section: The Problem Definition Language Hddlmentioning
confidence: 99%
“…We recently described two new heuristic approaches. In the family of heuristics presented in Höller et al [32], we first relax the delete effects in all actions and the ordering relations in all methods and then solve the resulting problem using integer programming.…”
Section: Heuristic Progression Searchmentioning
confidence: 99%
“…Other techniques have been extended, e.g. propositional encodings for SATbased planners Biundo 2018, 2019;Schreiber et al 2019), or IP encodings for heuristics (Höller, Bercher, and Behnke 2020). Alford et al (2009; introduced translations from HTN problems into classical problems by adding a new part to the state of the problem representing the decomposition process.…”
Section: Introductionmentioning
confidence: 99%