What are Hamlet's madness in relation to an imbalance or "disorder" among the humors?

The interpretation which best fits the evidence best is that Hamlet was suffering from an acute depressive illness, with some obsessional features. He could not make a firm resolve to act. In Shakespeare's time there was no concept of acute depressive illness, although melancholy was well known.

imparadis't in one anothers arms  

the happier eden, shall enjoy their fill  

of bliss on bliss, while i to hell am thrust,  

where neither joy nor love, but fierce desire,  

among our other torments not the least,  

still unfulfill'd with pain of longing pines;  

yet let me not forget what i have gain'd  

from their own mouths; all is not theirs it seems:  

one fatal tree there stands of knowledge call'd,  

forbidden them to taste: knowledge forbidd'n?  

suspicious, reasonless. why should their lord  

envie them that? can it be sin to know,

every four years the american people choose a new president, and 1988 is one of those years."