Optimal Policy Synthesis from A Sequence of Goal Sets with An Application to Electric Distribution System Restoration
arxiv(2024)
摘要
Motivated by the post-disaster distribution system restoration problem, in
this paper, we study the problem of synthesizing the optimal policy for a
Markov Decision Process (MDP) from a sequence of goal sets. For each goal set,
our aim is to both maximize the probability to reach and minimize the expected
time to reach the goal set. The order of the goal sets represents their
priority. In particular, our aim is to generate a policy that is optimal with
respect to the first goal set, and it is optimal with respect to the second
goal set among the policies that are optimal with respect to the first goal set
and so on. To synthesize such a policy, we iteratively filter the applicable
actions according to the goal sets. We illustrate the developed method over
sample distribution systems and disaster scenarios.
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