In steady-state simulation the output data of the transient phase often causes a bias in the estimation of the steady-state results. A common advice is to cut off this transient phase. Finding an appropriate truncation point is a well-known problem and is still not completely solved. In this paper we consider two algorithms for the determination of the truncation point. Both are based on a technique which takes the definition of the steady-state phase more closely into consideration. The capabilities of the algorithms are demonstrated by comparisons with two methods most often used in practice.