Been on all ends of this. Been a Tournament Director, Umpire, UIC, and coach. Currently the latter (coach) eats my time up...
I agree that the end result, is on the Tourny Director. But I'm not much of being a micro manager, and would have a UIC floating around keeping "eyes" on the umps. That's his job, his expertise, and strictly what his involvement is. As tourny director, you have the entire scope to manage...scheduling, field maintenance, etc you name it...("Sir, their are kids stuffing things in the restrooms and the water is overflowing!!!" lol).
A well run tournament takes multiple people to put on correctly, and as TD best served to divide the responsibilities, and keep tabs on each and "manage" if any of the aspects of the tournament are not up to par.
While "managing" the tournament, the UIC can concentrate and keep better tabs on who's doing what as far as the umpires. If complaints come in, he's free to go to the spot and see if Joe Smuckatelly is doing his job incorrectly, or Team A is having a bad day and it's gotta be some else's fault.
MAJOR ISSUES??? Let me know immediately...otherwise I'll be finding where the plunger is for the bathrooms... (see bathroom issue above!
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When a MAJOR issue comes up, as tourny director I become the "Fireman"...yes, I should (and do!) know enough on the umpiring end to make basic decisions if umpiring was doing something flagrantly wrong.
Involve the expert (UIC) in what is right and wrong, get the story and situation from both sides...I can discuss with the team while the UIC is working through the umpire. Don't promise any remedy till you know the full story and have your plan.
I would then work THROUGH the assignor to make best decision to remedy the situation. (Depending on situation which steps may be needed: A) Discuss after game how to improve B) In between innings discuss issue and how to remedy C) If misapplied rules IMMEDIATE fix if possible? D) Reassignment during tournament E) Removal during tournament
If I don't agree with what the UIC wants to do, yes, I have the power to fix as needed. But usually, between the 2 of us will come up with what's best. As with business, I'm managing the company...but the "Supervisor" (UIC) hires and "fires" if necessary. Fortunately, the latter hasn't happened much...!
Simply, I let other people do their jobs, and step in when more action is needed.