So this isn't a deck on a house, but a mezzanine in a pole barn or steel building?
A couple of things.
I assume you are using 50#LL and 15#DL.
You mention a GLULAM. We haven't used them for anything except arches in churches for forever. We use LVL's for this kind of thing. Hope that is what you mean.
If it is indeed a mezzanine, then the constraining factors are usually (In order of importance), height, clear span and load carrying capability.
The more you want to optimize any and all of these, the more expensive the materials become.
The advice above to limit deflection by using L/480 is good advice to get a stiffer and less bouncy feeling floor.
In general steel will get you less deep members, maximizing height.
If you do decide engineered wood will work for your loads and spans, then choosing a stronger version will maybe allow less depth in the member and better height.
The ledger is a beam as well. It supports half the load. Carefully engineer it's size and connection.
For the wood joists. placing them closer together and using lumber species with better values will allow less depth, if that is needed. Engineered joists may also solve problems here.
Bill