Improvements to the Strong Planning Algorithm

Zhonghua Wen, Qiwei Yang, Jinhua Zheng, Jiang Zhu
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Abstract

This paper points out some drawbacks and gives some modifications to the strong planning algorithm. In particular, a set of states is found by using of adjacency matrix that corresponds to a non-deterministic state-transition system. The set of states is composed of four parts, the first part is a part of initial states which can not reach goal states, if the first part is not empty, there is not strong planning; if a state which is not a initial state can not reach goal states,we put the state into the second part; the third part are the states that are unreachable from the initial states; so the station-action pairs which relate to the second part or third part are absolutely useless; the fourth part are the states which the initial states can not reach without passing any goal state before, the state-action pairs which relate to the fourth part are useless as well, because they move the execution away from the goal. So a great many of state-action pairs can be eliminated directly from the universal policy. Finally, the efficiency of the modified algorithm is illustrated by an example and some experiments.
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强规划算法的改进
本文指出了强规划算法存在的不足,并对其进行了改进。特别地,利用邻接矩阵找到一组状态,该邻接矩阵对应于一个不确定的状态转移系统。状态集由四部分组成,第一部分是不能达到目标状态的初始状态的一部分,如果第一部分不空,则不存在强规划;如果一个非初始状态的状态不能达到目标状态,我们将该状态放入第二部分;第三部分是初始状态无法到达的状态;因此,与第二部分或第三部分相关的站-动对是完全无用的;第四个部分是初始状态在没有经过任何目标状态之前无法达到的状态,与第四个部分相关的状态-动作对也是无用的,因为它们使执行远离目标。因此,许多国家行为对可以直接从普遍政策中消除。最后,通过算例和实验验证了改进算法的有效性。
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