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arXiv · 2304.14996

Maximizing Reachability Probabilities in Rectangular Automata with Random Clocks

Joanna Delicaris·Stefan Schupp·Erika Ábrahám·Anne Remke
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Abstract

This paper proposes an algorithm to maximize reachability probabilities for rectangular automata with random clocks via a history-dependent prophetic scheduler. This model class incorporates time-induced nondeterminism on discrete behavior and nondeterminism in the dynamic behavior. After computing reachable state sets via a forward flowpipe construction, we use backward refinement to compute maximum reachability probabilities. The feasibility of the presented approach is illustrated on a scalable model.

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Joanna Delicaris, Stefan Schupp, Erika Ábrahám, Anne Remke. 2023-04-28. Maximizing Reachability Probabilities in Rectangular Automata with Random Clocks. https://arxiv.org/abs/2304.14996

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