Exam 5: Project Scheduling Models

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PERT (Program Evaluation and Review Technique) generally treats activity completion times as probabilistic and:

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B

Which of the following is true?

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C

When attempting to use PERT methodology, how do you estimate the mean completion time and standard deviation when, for a given activity, the time estimates a, b, and m (pessimistic, optimistic, and most likely) are all identical? What implications does this have if several activities have this property?

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(Then the estimated mean completion time = m = a = b, and the standard deviation is zero.
For this task, PERT becomes CPM.If an insufficient number of activities have a < m < b with finite values for a and b, the normality assumption for the probability distribution of overall project completion times becomes questionable.Incidentally, m = a = b is an indication that the person estimating task time has lost patience with the management science analyst and does not wish to participate further.)

The critical path:

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For an activity, an engineer estimatesa (optimistic time) = 4 b (pessimistic time) = 11 m (most likely time) = 6 What is the mean for this activity? The variance?

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Consider the following information for the activities comprising a small construction project which is scheduled to complete in 26 days.(Costs are in $1000's.) Normal Schedule Crash Schedule Activity Slack Time Cost Time Cost M 0 7 10 4 19 II 2 5 6 5 6 O 0 4 7 2 12 P 0 5 9 3 13 Q 2 2 5 1 6 R 0 4 9 4 9 S 0 6 12 5 15 A.If the project must be completed in 25 days, which activity should be accelerated? Why? B.Will the critical path be altered? C.What is the total estimated cost of the project on the accelerated 25 day schedule?

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In using PERT/CPM, why does management need to pay any attention at all to non-critical path activities?

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Overall project completion time will not be affected if an activity possessing slack time is started at any time between its earliest and latest start time.

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Discuss the assumptions required for determining the probability that a project will be completed within a certain time period by using a normal distribution of the activity time along the critical path determined by mean completion times of the critical activities.Do you think they are realistic for most projects?

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Using PERT, we have determined the mean completion time for each activity ( μ\mu j) and the standard deviation for each activity completion time ( σ\sigma j).How do we use these data to determine the overall project completion time?

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Typically, the first step in project scheduling is the construction of a:

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Using the Critical Path Method, the normal time to complete activity D is 10 weeks, and its normal cost is $500.Under maximum crashing, activity D can be completed is 4 weeks for $2,300.Therefore, if $1,100 is spent on activity D, its completion time will be 6 weeks.

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The earliest start time (ES) of an activity:

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Activity C is an immediate predecessor of activity G.Both activities have 4 hours of slack time.If both activities are delayed 3 hours, and these are the only delays, the overall effect of these delays is to delay the minimum project completion time by:

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In the critical path method (CPM), crashing does not:

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In PERT, the acceptance of a Beta distribution for activity completion times and the presence of a sufficient number of activities, lead to the assumption of a normal distribution of possible completion times for the overall project.

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For the data in problem 6,A.Using the normal times, prepare a chart giving the earliest and latest start and finish times and slack for each activity. B.What is the critical path and the project completion time using normal times? C.What is the effect of a 2 week delay to activity B? What is the effect of a 2 week delay to activity B combined with a 2 week delay to activity D?

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Which of the following is not a fundamental, inherent weakness in the probabilistic approach to PERT?

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Activity A is critical.Activity B has a slack time of 5 days.What is the impact of a 7 day delay in either A or B?

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A "forward pass" in network analysis of a project, determines:

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