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Cost-Optimal Planning, Delete Relaxation, Approximability, and Heuristics
Linköping University, Department of Computer and Information Science, Software and Systems. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Computer and Information Science, Software and Systems. Linköping University, Faculty of Science & Engineering.
Univ Leeds, England.
2021 (English)In: The journal of artificial intelligence research, ISSN 1076-9757, E-ISSN 1943-5037, Vol. 70, p. 169-204Article in journal (Refereed) Published
Abstract [en]

Cost-optimal planning is a very well-studied topic within planning, and it has proven to be computationally hard both in theory and in practice. Since cost-optimal planning is an optimisation problem, it is natural to analyse it through the lens of approximation. An important reason for studying cost-optimal planning is heuristic search; heuristic functions that guide the search in planning can often be viewed as algorithms solving or approximating certain optimisation problems. Many heuristic functions (such as the ubiquitious h(+) heuristic) are based on delete relaxation, which ignores negative effects of actions. Planning for instances where the actions have no negative effects is often referred to as monotone planning. The aim of this article is to analyse the approximability of cost-optimal monotone planning, and thus the performance of relevant heuristic functions. Our findings imply that it may be beneficial to study these kind of problems within the framework of parameterised complexity and we initiate work in this direction.

Place, publisher, year, edition, pages
AI ACCESS FOUNDATION , 2021. Vol. 70, p. 169-204
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-173411DOI: 10.1613/jair.1.12278ISI: 000609637900005OAI: oai:DiVA.org:liu-173411DiVA, id: diva2:1529970
Note

Funding Agencies|Swedish Research Council (VR)Swedish Research Council [621-2014-4086]; VRSwedish Research Council [2017-04112]

Available from: 2021-02-20 Created: 2021-02-20 Last updated: 2021-02-20

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