Right now my split is:

Mon
back/bis

Tues
Shoulders/traps/neck

Weds
OFF

Thurs
Legs
abs

Fri
Chest
Tris

Sat/Sun
OFF


Here's my questions:

On mon after I do back, my bis are so exausted that when I get to my bi exercises I can't train them with my fullest energy. Therefore they're not getting the workout they need.

The same thing with Friday workouts. After chest my tris are beat, so when I do my tri exercises I'm bushed.

My solution is to change my split like this:

Mon
back/tris

Tues
Shoulders/traps/neck

Weds
OFF

Thurs
Legs
abs

Fri
Chest
bis

Sat/Sun
OFF

Basically I'm switching when I do bis and tris. My theory is by doing back/tris, my tris won't be tired first because back exercises don't kill your tris.

The same with chest and bis. By the time I get done with my chest exercises my bis will still be fresh because chest exercises don't really fatigue your bis that bad.

Am I correct?

Will I see an improvement in my bis and tris by switching this way?