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Unit 7: Project Scheduling



            7.5 Tabulation & Analysis of Activities                                               Notes


            We are now ready to tabulate the various events and calculate the Earliest and Latest Start and
            Finish times. We are also now ready to compute the Slack or Total Float, which is defined as the
            difference between the Latest Start and Earliest Start.

                Event    Duration    Earliest   Earliest   Latest Start   Latest   Total Float
                          (Weeks)     Start     Finish                Finish
                 1-2        4          0          4          0          4         0
                 2-3        0          4          4          4          4         0
                 3-4        7          4         11          4         11         0
                 1-3        3          0          3          1          4         1
                 2-4        6          4         10          5         11         1
            1.   The Earliest Start is the value in the rectangle near the tail of each activity
            2.   The Earliest Finish is = Earliest Start + Duration

            3.   The Latest Finish is the value in the diamond at the head of each activity
            4.   The Latest Start is = Latest Finish – Duration
            There are two important types of Float or Slack. These are Total Float and Free Float.
            Total Float is the spare time available when all preceding activities occur at the earliest possible
            times and all succeeding activities occur at the latest possible times.
            Total Float = Latest Start – Earliest Start
            Activities with zero Total float are on the Critical Path
            Free Float is the spare time available when all preceding activities occur at the earliest possible
            times and all succeeding activities occur at the earliest possible times.
            When an activity has zero Total float, Free float will also be zero.
            There are various other types of float (Independent, Early Free, Early Interfering, Late Free, Late
            Interfering), and float can also be negative. We shall not go into these situations at present for
            the sake of simplicity and be concerned only with Total Float for the time being.
            Having computed the various parameters of each activity, we are now ready to go into the
            scheduling phase, using a type of bar chart known as the Gantt Chart.
            There are various other types of float (Independent, Early Free, Early Interfering, Late Free, Late
            Interfering), and float can also be negative. We shall not go into these situations at present for
            the sake of simplicity and be concerned only with Total Float for the time being. Having
            computed the various parameters of each activity, we are now ready to go into the scheduling
            phase, using a type of bar chart known as the Gantt Chart.



              Did u know? Total Float is the spare time available when all preceding activities occur at
              the earliest possible times and all succeeding activities occur at the latest possible times.
            7.6 PERT (Probabilistic) Approach


            So far we have talked about projects, where there is high certainty about the outcomes of
            activities. In other words, the cause-effect logic is well known. This is particularly the case in
            Engineering projects.




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