Description
It is the finnal year for a cohort of students, and they all wantto choose an interesting project to study.
We want to know if it’s possible to allocate the students projectsand supervisors such that no project is
or supervisor is overloaded.
Notation
There is a set P of l projects (labeled 0, 1, 2,etc.)
There is a set T of m teachers (labeled 0, 1, 2,etc.)
There is a set S of n students (labeled 0, 1, 2,etc.)
Each project i can be studied by at most pi inZ+ students.
Each teacher i is willing to supervise at mostsi in Z+ students.
Each teacher i is willing to
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