Before revision:  In fact, the suggested algorithm implements a scheme EPTAS : for any fixed \varepsilon\in(0,1), it computes a (1-\varepsilon)-approximate solution of the considered problem in cubic time.
After revision:  In fact, the suggested algorithm implements a scheme EPTAS : for any fixed \varepsilon\in(0,1), finds a (1-\varepsilon)-approximate solution of the considered problem in cubic time.