Exam 5: Project Scheduling Models

A project consists of the following seven activities and immediate predecessors: Artivity Predecegsor A None B A C A D B E B, C F D, E G F Construct an AON network diagram for the project.

In the PERT probabilistic approach, statisticians have found which distribution most helpful in describing possible activity times?

Consider the following activity schedule chart for a maintenance project. Activity ES EF IS LF A 0 6 1 7 B 0 5 0 5 C 6 14 7 15 D 6 10 14 18 E 14 16 15 17 F 5 14 5 14 G 14 17 14 17 H 14 19 16 21 I 10 13 18 21 J 17 21 17 21 A.What are the slack values? B.Identify the activities on the critical path. C.If the time is in weeks, what is the impact of a two week delay in activity D, H, or C?

Any attempt at resource leveling always will involve lengthening the project completion time beyond its "non-leveled" minimum.

If a critical task is delayed, we either must add resources, miss the project deadline, or sacrifice quality.

In project scheduling, activities:

Why must we solve two linear programming models to model a PERT/CPM network?

Explain the Excel functions NORMINV(0.98,200,10) NORMDIST(190,200,10,TRUE).

Let B = budgeted total cost for a work package T = estimated completion time for a work package P = percent complete A = actual expenses to date M = time used to date What is the definition of cost overrun, C?

The earliest start (ES) time for an activity is the latest earliest finish (EF) time of all its immediate predecessors.

GANTT stands for "Generalized Activity Normalization Time Table."

Since PERT allows randomness, it is not necessary to know the precise activity precedence relations to use PERT.

For the data in problem 6, A.Write a linear programming model that will give the minimum cost solution for completing the project in 14 weeks. B.How would your model change if the objective were to complete the project in minimum time given a budget of $15,000?

In a PERT network, you are given the following data with times in weeks. Activity Immediate Optimistic Most Likely Pessimistic Predecessors Time Time Time A -- G 11 13 B -- 4 9 20 C A 2 11 14 D A, B 5 6 13 E D 3 6 11 F C, D 9 10 11 G E , F 7 20 21 A.What is the critical path? B.What is the probability the project will be completed within one year (52 weeks)? C.Which activity has the most slack?

Given the following data for work packages in a PERT/Cost network at week 18: Activity Immediate Predecessors Budgeted Time (weeks) Budgeted Value Percent Complete Expense To Date A -- 12 \ 50,000 1008 \ 48,000 B -- 8 \ 20,000 1008 \ 21,000 C A 6 \ 60,000 758 \ 40,000 D B 16 \ 40,000 508 \ 25,000 E C, D 16 \ 45,000 08 0 F B 28 \ 80,000 758 \ 55,000 A.Is the project currently experiencing a cost overrun? B.Is the project on target to be completed within 40 weeks? C.What corrective action, if any, could you recommend?