Аннотация:In this paper, we present a modification of dynamic programming algorithms (DPA), which we denote as graphical algorithms (GrA). For some single machine scheduling problems, it is shown that the time complexity of the GrAis less than the time complexity of the standard DPA. Moreover, the average running time of the GrAis often essentially smaller. A GrAcan also solve large-scale instances and instances, where the parameters are not integer. For some problems,GrAhas a polynomial time complexity in contrast to a pseudo-polynomial complexity of aDPA.