Multi-weighted Markov Decision Processes with Reachability Objectives

CoRR Pub Date : 2018-09-07 DOI:10.4204/EPTCS.277.18
P. Bouyer, Mauricio González, N. Markey, Mickael Randour
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引用次数: 4

Abstract

In this paper, we are interested in the synthesis of schedulers in double-weighted Markov decision processes, which satisfy both a percentile constraint over a weighted reachability condition, and a quantitative constraint on the expected value of a random variable defined using a weighted reachability condition. This problem is inspired by the modelization of an electric-vehicle charging problem. We study the cartography of the problem, when one parameter varies, and show how a partial cartography can be obtained via two sequences of opimization problems. We discuss completeness and feasability of the method.
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具有可达性目标的多加权马尔可夫决策过程
本文研究了双加权马尔可夫决策过程中调度程序的综合,该决策过程既满足加权可达性条件上的百分位约束,又满足加权可达性条件下随机变量期望值上的定量约束。这个问题的灵感来自于一个电动汽车充电问题的建模。我们研究了当一个参数变化时问题的制图,并展示了如何通过两个优化问题序列获得部分制图。讨论了该方法的完备性和可行性。
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