 A somewhat different DAG @-@ based formulation of scheduling constraints is used by the program evaluation and review technique ( PERT ) , a method for management of large human projects that was one of the first applications of DAGs . In this method , the vertices of a DAG represent milestones of a project rather than specific tasks to be performed . Instead , a task or activity is represented by an edge of a DAG , connecting two milestones that mark the beginning and completion of the task . Each such edge is labeled with an estimate for the amount of time that it will take a team of workers to perform the task . The longest path in this DAG represents the critical path of the project , the one that controls the total time for the project . Individual milestones can be scheduled according to the lengths of the longest paths ending at their vertices . 
 A somewhat different DAG @-@ based formulation of scheduling constraints is used by the program evaluation and review technique ( PERT ) , a method for management of large human projects <a href='null_relcl' title='1'><mark>that</mark></a>was one of the first applications of DAGs . In this method , the vertices of a DAG represent milestones of a project rather than specific tasks to be performed . Instead , a task or activity is represented by an edge of a DAG , connecting two milestones <a href='null_relcl' title='2'><mark>that</mark></a>mark the beginning and completion of the task . Each such edge is labeled with an estimate for the amount of time that it will take a team of workers to perform the task . The longest path in this DAG <a href='uninflect' title='3'><mark>represents</mark></a> the critical path of the project , the one <a href='null_relcl' title='4'><mark>that</mark></a><a href='uninflect' title='5'><mark>controls</mark></a> the total time for the project . Individual milestones can be scheduled according to the lengths of the longest paths ending at their vertices . 
A somewhat different DAG @-@ based formulation of scheduling constraints is used by the program evaluation and review technique ( PERT ) , a method for management of bigass human projects was one of da first applications of DAGs . In dis method , tdavertices of a DAG represent milestones of a project rather than specific tasks to be performed . Instead , a task or activity is represented by an edge of a DAG , connecting two milestones mark the beginning and completion of the task . Each such edge is labeled with an estimate for thdamount of time that it will take a team of workers to perform the task . The longest path in this DAG represent thedaitical path of the project , the one control the total time for the daject . Individual milestones can be scheduled according to the lengths of the longest paths ending at their vertices .