Improved approximation bounds for the Student-Project Allocation problem with preferences over projects

Manlove and OʼMalley (2008) [8] proposed the Student-Project Allocation problem with Preferences over Projects (SPA-P). They proved that the problem of finding a maximum stable matching in SPA-P is APX-hard and gave a polynomial-time 2-approximation algorithm. In this paper, we give an improved upper bound of 1.5 and a lower bound of 21/19 (>1.1052)(>1.1052).