Optimal Planning as Constraint OptimizationDownload PDF

11 Apr 2022, 07:04 (modified: 13 Jun 2022, 09:47)HSDIP 2022Readers: Everyone
Keywords: Optimal Planning, Constraint Optimization
TL;DR: A general approach to encoding optimal planning problems into decidable quantifier-free first order theories
Abstract: We consider the problem of optimal planning in deterministic domains and reduce it to the problem of finding an optimal solution of a corresponding constraint optimization problem incorporating a bound $n$ on the maximum length of the plan. By solving the latter, we can conclude whether $(i)$ the plan found is optimal even for bounds greater than $n$; or $(ii)$ we need to increase $n$; or $(iii)$ it is useless to increase $n$ since the planning problem has no solution. Our approach $(i)$ substantially generalizes previous approaches for optimal symbolic deterministic planning; $(ii)$ allows to compute non trivial lower bounds on the cost and length of optimal plans; and $(iii)$ produces an encoding linear in the size of the planning problem and the bound $n$.
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