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Unit 13: PERT, CPM and Time Estimation




          The project network with normal duration is shown in Figure 13.3.                     Notes
          The critical path in the all normal network is (1-2-4-6-7). The project duration is 30 weeks and the
          total direct cost is   45,200.

                                   Figure 13.3: Project Network (1)
















          Examining the time cost slope of activities on the critical path we find that activity (2-4) has the
          lowest slope; in other words, the cost to expedite per week is the lowest for activity (2-4). Hence
          activity (2-4) is crashed. The project network after such a crashing is shown in Figure 13.4.
                                   Figure 13.4: Project Network (2)

                                       6                  3
                                                 4                    6
                           2
                                                                            10
                      8
                                        5                    6

                 1
                                                                              7
                                                                   9
                         5
                                 3                      5
                                            7
          As per Figure 13.4 the critical path is (1-2-5-6-7), with a length of 29 weeks, and the total direct
          cost is   46,700.

                                   Figure 13.5: Project Network (3)


                                       6                 3
                           2                    4                    6
                                                                          10
                      8
                                       5                       2


                  1                                                          7
                                                                     9
                           5
                                                7
                                    3                      5





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