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Unit 9: CPM /PERT




                                                                                                Notes


             Notes  Note that the project duration is estimated at 16 days using the original task duration
             estimates, which include contingency for each task.
          Figure 9.2 shows the critical path (C1-C2-C3) for a project manager using TPM, and it is the
          starting point for resolving any resource contention problems.

          Step 2: Converting the Early Schedule to the Late Schedule and Adding
          Resources

          The first thing that a project manager using CCPM does is convert the task schedule to the late
          schedule. This is shown in Figure 9.3. Note that this conversion removes the slack associated
          with the sequence defined by tasks A1–A2 and B1–B2. In fact, it removes all of the free slack and
          total slack associated with any task or task sequence in the project. Note also that the 50 percent
          duration estimates have replaced the original estimates, which included contingency. In doing
          that, the project duration has been reduced from the original 16 days to 8 days. We have also
          added  the three  resources (Amit, Mukesh, and Santa) to  the tasks  to which they have  been
          assigned. Note that there is a resource conflict with Mukesh on tasks A2 and B2. Also note that
          the project duration reduces to eight days when the contingencies are removed.


                          Figure  9.3: The  Late Schedule  with Resource  Assignments















          Step 3: Resolving Resource Conflicts

          In general, resource conflicts are removed by beginning with the task sequence that has the least
          slack. After resolving that conflict, move to the task path that now has the least slack. Continue
          in this fashion until all resource conflicts have been resolved. In our example, the critical chain
          (C1-C2-C3) does not have any resource conflicts. The next task path to consider is A1-A2. In this
          case, Mukesh would be scheduled to work on A2, and that means pushing his work on B1 to an
          earlier date. This resolution is illustrated in Figure 9.4.
                            Figure 9.4:  One way  to Resolve the Resource  Conflict


















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