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arXiv · 1201.3498

A Faster Algorithm for Solving One-Clock Priced Timed Games

Thomas Dueholm Hansen·Rasmus Ibsen-Jensen·Peter Bro Miltersen
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Abstract

One-clock priced timed games is a class of two-player, zero-sum, continuous-time games that was defined and thoroughly studied in previous works. We show that one-clock priced timed games can be solved in time m 12^n n^(O(1)), where n is the number of states and m is the number of actions. The best previously known time bound for solving one-clock priced timed games was 2^(O(n^2+m)), due to Rutkowski. For our improvement, we introduce and study a new algorithm for solving one-clock priced timed games, based on the sweep-line technique from computational geometry and the strategy iteration paradigm from the algorithmic theory of Markov decision processes. As a corollary, we also improve the analysis of previous algorithms due to Bouyer, Cassez, Fleury, and Larsen; and Alur, Bernadsky, and Madhusudan.

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Thomas Dueholm Hansen, Rasmus Ibsen-Jensen, Peter Bro Miltersen. 2013-01-11. A Faster Algorithm for Solving One-Clock Priced Timed Games. https://arxiv.org/abs/1201.3498

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