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Unit 9: Simulation of a PERT Network (I)



            In such situations, the PERT approach is useful, because it can contain the variation in event  Notes
            completion times, based on an expert’s or an expert committee’s estimates.
            For each activity, three time estimates are taken
            1.   The Most Optimistic

            2.   The Most Likely
            3.   The Most Pessimistic
            The Duration of an activity is calculated using the following formula:

                t   4  t    t
            t   o  m   p   Where t  is the Expected time, t  is the Optimistic time, t  is the most credible
             e                  e                  o                   m
                    6
            activity time and t  is the Pessimistic time.
                           p
            It is not necessary to go into the theory behind the formula. It is  sufficient to know that the
            weights are based on an approximation of the Beta distribution.

            The Standard Deviation, which is a good measure of the variability of each activity is calculated
            by the rather simplified formula:

                t   t o
                p
            s        The Variance is the Square of the Standard Deviation.
             1
                 6
            PERT Calculations for the Social Project

            In our Social Project, the Project Manager is now not so certain that each activity will be completed
            on the basis of the single estimate he gave. There are  many assumptions involved in each
            estimate, and these assumptions are illustrated in the three-time estimate he would prefer to
            give to each activity.







































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