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Project Management




                    Notes
                                                              Figure 13.2: Indirect Costs

















                                   Procedure

                                   Given the above assumptions, CPM analysis seeks to examine the consequences of crashing on
                                   total  cost (direct cost plus indirect cost). Since the behaviour of indirect project cost is well
                                   defined, the bulk of CPM analysis is concerned with the relationship between total direct cost
                                   and project duration. The procedure used in this respect is generally as follows:
                                   1.  Obtain the critical path in the normal network. Determine the project duration and direct
                                       cost.

                                   2.  Examine the cost time slope of activities on the critical path obtained and crash the activity
                                       which has the least slope.
                                   3.  Construct the new critical path after crashing as per step 2. Determine project duration and
                                       cost.
                                   4.  Repeat steps 2 and 3 till activities on the critical path (which may change every time) are
                                       crashed.

                                          Example:  The  above procedure  may be illustrated  with an  example. The activities,
                                   durations, and direct activity costs of a project are shown in Table 13.1. The indirect cost is   2,000
                                   per week.

                                                      Table 13.1: Normal and Crash Time and Cost

                                                                                               Cost to Expedite
                                        Activity      Time in Weeks              Cost
                                                                                                 per Weeks
                                                   Normal      Crash      Normal      Crash

                                          1-2        8           4           3,000      6,000       450
                                          1-3        5           3           4,000      8,000      2,000
                                          2-4        9           6           4,000      5,500       500
                                          3-5        7           5           2,000      3,200       600
                                          2-5        5           1           8,000     12,000      1,000
                                          4-6        3          2/ 1/2      10,000     11,200      2,400
                                          5-6        6           2           4,000      6,800       700
                                          6-7       10           7           6,000      8,700       900
                                          5-7        9           5           4,200      9,000      1,200
                                                                            45,200     70,400





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