  Parametric Timed Games (PTG) are an extension of the model of Timed Automata.
They allow for the verification and synthesis of real-time systems, reactive to
their environmeand depending on adjustable parameters. Given a PTG and a
reachability objective, we synthesize the values of the parameters such that
the game is winning for the controller. We adapt and implement the On-The-Fly
algorithm for parameter synthesis for PTG. Several pruning heuristics are
introduced, to improve termination and speed of the algorithm. We evaluate the
feasibility of parameter synthesis for PTG on two large case studies. Finally,
we investigate the correctness guarantee of the algorithm: though the problem
is undecidable, our semi-algorithm produces all correct parameter valuations
``in the limit''.
