Abstract: In order to better solve the flexiblcrcsource constrained project scheduling problem, matrix with proficiency was established to show the relations between resources and skills, and CPSO (Chaos Particle Swarm Optimization) was used in this essay to solve this problem. In consideration of work's priorities and flexiblcresource constrained problem, a randomized priority chain was formed and followed by an optimized result based on Serial Schedule Generation Scheme (SSGS) and the best schedule of the whole project was found by updating the population by CPSO. Results prove the possibility and effect of this method in solving this problem. Therefore, this method has its practical application value for the flexiblcresource constrained project scheduling problem.

Key words: Flexiblcrcsourcc,Particle swarm optimization(PSO )，Project scheduling,Serial schedule generation scheme (SSGS) , Chaos