TimeTable Management System in PHP

I want to create a Automatic Time Table Generation, with some of the condition like: want to allot 2 or more teachers in a same class, want to handle 2 or more classes by a single teacher, Class teachers should be allotted in1st or 2nd periods, restrict any subjects which shouldn’t occur at certain periods while timetable allotment? [E.g. Subjects like games, dance, drawing, yoga etc., should not be allotted at 1st period], A teacher should not be allowed more then 2 classes in serial series, Ability of finding free periods of Teachers by Day / Period / Subject wise Report. Also in some cases manual change must be possible.