Optimal Paths in Weighted Timed Automata

  • Authors:
  • Rajeev Alur;Salvatore La Torre;George J. Pappas

  • Affiliations:
  • -;-;-

  • Venue:
  • HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
  • Year:
  • 2001

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Abstract

We consider an optimal-reachability problem for a timed automaton with respect to a linear cost function which results in a weighted timed automaton. Our solution to this optimization problem consists of reducing it to a (parametric) shortest-path problem for a finite directed graph. The directed graph we construct is a refinement of the region automaton due to Alur and Dill. We present an exponential time algorithm to solve the shortest-path problem for weighted timed automata starting from a single state, and a doubly-exponential time algorithm to solve this problem starting from a zone of the state space.