What are the recommended approaches for an event system of a turn-based RPG's battle engine?

The system I'm currently working on has a runEvent method that sorts the actions queue based on their priorities. This method should also call the object's (item, player, condition) method according to an eventid, which currently is a String ("TurnStart", "TurnEnd", etc). The different objects may or may not have the same parameters for the same eventid.

In JavaScript, it would be something like the following:

retval = action['on' + eventid].apply(this, args); 

I've read about using Java's Reflection to call a method through a String stored in a variable, but some people advise against it because of its security flaws.

I also thought about having a switch (eventid) inside a handler method that would call the appropriate method, but I think that would become impractical, given the substantial amount of different parameters combinations.

So, what is the recommended approach for this kind of situation in Java?

Note: It doesn't need to be based on String passing.