Simple Algorithm for Simple Timed Games

Yasmina Abdeddaim (1) , Eugene Asarin (2) , Mihaela Sighireanu (2)

1 ESYCOM - Electronique, Systèmes de communication et Microsystèmes
2 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications

We propose a subclass of timed game automata (TGA), called Task TGA, representing networks of communicating tasks where the system can choose when to start the task and the environment can choose the duration of the task. We search to solve finite-horizon reachability games on Task TGA by building strategies in the form of Simple Temporal Networks with Uncertainty (STNU). Such strategies have the advantage of being very succinct due to the partial order reduction of independent tasks. We show that the existence of such strategies is an NP-complete problem. A practical consequence of this result is a fully forward algorithm for building STNU strategies. Potential applications of this work are planning and scheduling under temporal uncertainty.

Mots clés: timed game automata; reachability games; simple temporal networks with uncertainty; planning under temporal uncertainty

Domaines: Génie logiciel [cs.SE]; Informatique et théorie des jeux [cs.GT]; Informatique et langage [cs.CL]

Yasmina Abdeddaim, Eugene Asarin, Mihaela Sighireanu. Simple Algorithm for Simple Timed Games. 2008. ⟨hal-00374700v1⟩