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arXiv 1807.04837cs.AIcs.GT
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基于时间线的不确定规划的对策论方法

A game-theoretic approach to timeline-based planning with uncertainty

University of Udine(乌迪内大学);University of Roma Tre(罗马第三大学);National Research Council(国家研究委员会);The University of Western Australia(西澳大学)

Nicola Gigante, Angelo Montanari, Marta Cialdea Mayer, Andrea Orlandini, Mark Reynolds

摘要:

在基于时间线的规划中,域被描述为一组独立但相互作用的组件,其随时间的行为(时间线集)由一组时间约束控制。基于时间线的计划系统的一个显著特征是通过合成灵活计划的控制策略来整合计划与执行的能力。然而,灵活的计划只能代表时间的不确定性,而更复杂的形式的非确定性需要处理更广泛的现实问题。在本文中,我们提出了一种新的博弈论的方法,以时间线为基础的规划问题,概括了最先进的,同时统一处理时间的不确定性和非确定性。我们定义了一个一般概念的时间线为基础的游戏,我们表明,这些游戏的获胜策略的概念是严格的更一般的控制策略的动态可控的灵活的计划。此外,我们发现,建立这样的获胜策略的存在性的问题是可判定的使用双指数量的空间。

英文摘要:

In timeline-based planning, domains are described as sets of independent, but interacting, components, whose behaviour over time (the set of timelines) is governed by a set of temporal constraints. A distinguishing feature of timeline-based planning systems is the ability to integrate planning with execution by synthesising control strategies for flexible plans. However, flexible plans can only represent temporal uncertainty, while more complex forms of nondeterminism are needed to deal with a wider range of realistic problems. In this paper, we propose a novel game-theoretic approach to timeline-based planning problems, generalising the state of the art while uniformly handling temporal uncertainty and nondeterminism. We define a general concept of timeline-based game and we show that the notion of winning strategy for these games is strictly more general than that of control strategy for dynamically controllable flexible plans. Moreover, we show that the problem of establishing the existence of such winning strategies is decidable using a doubly exponential amount of space.

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