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arXiv 1111.0056cs.AI
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简单因果图规划问题的复杂性

The Complexity of Planning Problems With Simple Causal Graphs

Universitat Politècnica de Catalunya(加泰罗尼亚理工大学)

Omer Giménez, Anders Jonsson

摘要:

我们提出了三个新的复杂性结果的规划问题的简单因果图类。首先,我们描述了一个多项式时间的算法,使用宏生成计划的规划问题与二进制状态变量和非循环因果图的类3S。这意味着,即使规划问题有一个指数长的最小解,规划生成可能是易处理的。我们还证明了多值变量和链式因果图规划问题的计划存在性问题是NP-困难的。最后,我们证明了二元状态变量和多树因果图规划问题的计划存在性是NP-完全的。

英文摘要:

We present three new complexity results for classes of planning problems with simple causal graphs. First, we describe a polynomial-time algorithm that uses macros to generate plans for the class 3S of planning problems with binary state variables and acyclic causal graphs. This implies that plan generation may be tractable even when a planning problem has an exponentially long minimal solution. We also prove that the problem of plan existence for planning problems with multi-valued variables and chain causal graphs is NP-hard. Finally, we show that plan existence for planning problems with binary state variables and polytree causal graphs is NP-complete.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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