Exam 5: Project Scheduling Models

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A disadvantage of Gantt chart methodology is that an earliest possible completion date for the project cannot be determined.

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PERT/Cost:

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The "forward pass" determines the earliest start and finish times for activities in a project.The "backward pass" establishes latest start and finish times.

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Which of the following is false?

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Resource leveling can apply to either costs or to the time of people working on the project.

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PERT/Cost is a cost-center based system, where the "centers" are:

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For a CPM model, you are given the following data with time in weeks. Activity Immediate Predecessors Normal Time Normal Cost Crash Time Crash Cost A -- 9 3200 5 6000 B -- 7 1400 5 2400 C A 6 1500 5 2000 D B 5 2500 3 4000 E A, B 4 1800 3 2800 F D, E 3 1800 1 4800 A.If activity A needed to be completed in 6 weeks, what would its cost be? B.If $3000 were allocated to activity D, how long would it take to complete?

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The critical path is always unique.

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A project contains activities D and K.Activity D has 5 hours of slack, and activity K has 7 hours of slack.If activity D is delayed 4 hours, activity K is delayed 6 hours, and these are the only delays, then the overall effect of these delays is to delay the minimum project completion time by:

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Suppose the estimated completion times for activities A through G in problem 1 were 5, 4, 3, 6, 2, 5, 2 respectively.Draw an earliest completion Gantt chart for the data.

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Which of the following is true?

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The probabilistic approach characterized by PERT does not use:

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The critical path shows the earliest project completion date by finding the shortest path through the directed network.

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Let Ti = normal completion time for task iRi = crash completion time for task i Ci = normal cost for task i Hi = crash cost for task i Xi = start time for task i Yi = amount of time by which task i is to be crashed. What is the objective function of a linear programming model for project crashing?

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A Gantt chart, by definition, does not show precedence relations.However, you could add precedence relations by drawing arrows on the Gantt chart.

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Ajax is about to embark on a project involving the design, manufacture, and introduction of a new microwave oven.The first three activities and the immediate predecessors are: Activity Predecessor A Prototype Design none B Acquisition of Materials A C Prototype Construction B However, it has not yet been decided whether the prototype materials will be purchased from a vendor (taking two weeks) or produced in another Ajax division (four weeks).What are the implications of this regarding usage of any standard project scheduling technique?

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What type of distribution does PERT assume for the activity completion times?

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Which statement does not represent a set of constraints for a linear programming approach to project crashing?

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A PERT/CPM network can be represented as a linear programming model by letting the decision variables be the activity start times.

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Activity T has a single immediate predecessor, activity S.However, T may actually be initiated anytime after S is 50% complete.Can this situation be accommodated using standard project scheduling techniques? Explain.

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