Solution method for random assignment problem with restriction of qualification

The problem that the decision-maker is uncertain about someone's work ability for a job in actual assignment is often met. In this paper, a mathematical model for the random assignment problem with restriction of qualification is set, and the transforming model as certain assignment problem with restriction of qualification is given. methods for judging the existence of solution for this problem is given by transforming the beneficial matrix into the decision matrix; furthermore, we transform the beneficial matrix into solution matrix when the problem has a solution and then the assignment problem with restriction of qualification is transformed into the traditional assignment problem. At last the numerical example is given.